4215:
2734:
3759:
2198:
2558:
2050:
2311:
3130:
3048:
2404:
2953:
2819:
2551:
1267:
1764:
1567:
973:
is frequently used for the inverse momentum relaxation time (time needed for the inertia momentum to become negligible compared to the random momenta) of the diffusive object. For spherical particles of radius
1951:
1436:
1105:
868:
305:
1867:
480:
238:
1652:
2729:{\displaystyle 0=\mathbf {J} _{\mathrm {drift} }+\mathbf {J} _{\mathrm {diffusion} }=-\mu \rho \nabla U-D\nabla \rho =\left(-\mu \rho -D{\frac {\mathrm {d} \rho }{\mathrm {d} U}}\right)\nabla U.}
2210:
1165:
1107:
This has been applied for many years to estimating the self-diffusion coefficient in liquids, and a version consistent with isomorph theory has been confirmed by computer simulations of the
635:
740:
3055:
1020:
547:
90:
2978:
1986:
2193:{\displaystyle \mathbf {J} _{\mathrm {drift} }(\mathbf {x} )=\mu (\mathbf {x} )F(\mathbf {x} )\rho (\mathbf {x} )=-\rho (\mathbf {x} )\mu (\mathbf {x} )\nabla U(\mathbf {x} ),}
971:
897:
1318:
2758:
1889:
1192:
2873:
2763:
1463:
1366:
576:
2497:
937:
2841:
2484:
2424:
1594:
1040:
3826:
2973:
2861:
2464:
2444:
2030:
2006:
1810:
1338:
1197:
789:
763:
683:
657:
505:
4130:
1668:
1495:
4155:
2319:
3741:
1988:
as a function of the position. After some time, equilibrium will be established: particles will pile up around the areas with lowest potential energy
1371:
1049:
815:
252:
3766:
426:
4083:
187:
1599:
3355:
4160:
3686:
1894:
3716:
3576:
1661:
By replacing the diffusivities in the expressions of electric ionic mobilities of the cations and anions from the expressions of the
4200:
3234:"Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen"
1489:
4089:
696:
3944:
1818:
985:
3178:. Essay by Prof. R Home (with contributions from Prof B. McKellar and A./Prof D. Jamieson) dated 2005. Accessed 2017-04-28.
52:
2200:
i.e., the number of particles flowing past a given position equals the particle concentration times the average velocity.
4150:
3973:
3815:
3381:
1121:
170:. Note that the equation above describes the classical case and should be modified when quantum effects are relevant.
3834:
3711:
3323:
3949:
1478:
3219:
585:
3994:
167:
4241:
3804:
3676:
32:
3569:
2306:{\displaystyle \mathbf {J} _{\mathrm {diffusion} }(\mathbf {x} )=-D(\mathbf {x} )\nabla \rho (\mathbf {x} ),}
1046:
of the medium. Thus the
Einstein–Smoluchowski relation results into the Stokes–Einstein–Sutherland relation
510:
3782:
3671:
3666:
2868:
2487:
2012:. At equilibrium, there is no net flow of particles: the tendency of particles to get pulled towards lower
1474:
3939:
3898:
3842:
3691:
3616:
3146:
1960:
3175:
3866:
3681:
100:
942:
873:
3774:
3721:
3701:
1345:
4246:
4219:
4170:
4165:
4145:
4135:
4095:
3790:
3646:
3562:
3125:{\displaystyle D=-\mu {\frac {\rho }{\frac {\mathrm {d} \rho }{\mathrm {d} U}}}=\mu k_{\text{B}}T,}
2041:
1288:
2741:
1872:
1170:
4175:
3398:
1662:
1108:
24:
3544:
1782:
The proof of the
Einstein relation can be found in many references, for example see the work of
4107:
4015:
3987:
3890:
3749:
3352:
3313:
3190:"LXXV. A dynamical theory of diffusion for non-electrolytes and the molecular mass of albumin"
1441:
1351:
554:
4180:
4140:
3980:
3929:
3924:
3850:
3661:
3641:
3631:
3043:{\displaystyle {\frac {\mathrm {d} \rho }{\mathrm {d} U}}=-{\frac {1}{k_{\text{B}}T}}\rho .}
922:
4059:
4008:
4001:
3954:
3626:
3599:
3507:
3413:
3286:
3245:
3156:
2826:
2469:
2409:
1572:
1115:
1025:
159:
2036:, perfectly balances the tendency of particles to spread out due to diffusion, called the
8:
3397:
Costigliola, Lorenzo; Heyes, David M.; Schrøder, Thomas B.; Dyre, Jeppe C. (2019-01-14).
3141:
1466:
809:
805:
579:
374:
333:
40:
3511:
3417:
3290:
3249:
3052:
Under this assumption, plugging this equation into the general
Einstein relation gives:
1957:). Now assume that there are a large number of such particles, with local concentration
4022:
3906:
3882:
3726:
3609:
3604:
3523:
3497:
2958:
2846:
2449:
2429:
2015:
1991:
1813:
1795:
1482:
1323:
774:
748:
668:
642:
490:
149:
1596:
is the total density of available energy states, which gives the simplified relation:
4113:
3527:
3519:
3439:
3431:
3377:
3319:
2864:
2399:{\displaystyle \mathbf {J} _{\mathrm {drift} }+\mathbf {J} _{\mathrm {diffusion} }=0}
1341:
1282:
367:
318:
110:
4071:
4053:
3731:
3515:
3489:
3421:
3338:
Umberto Marini
Bettolo Marconi, Andrea Puglisi, Lamberto Rondoni, Angelo Vulpiani,
3294:
3253:
3201:
2948:{\displaystyle \rho (\mathbf {x} )=Ae^{-{\frac {U(\mathbf {x} )}{k_{\text{B}}T}}},}
2313:
where the minus sign means that particles flow from higher to lower concentration.
1790:
4101:
4033:
3798:
3706:
3651:
3621:
3585:
3549:
3359:
2814:{\displaystyle D=-\mu {\frac {\rho }{\frac {\mathrm {d} \rho }{\mathrm {d} U}}}.}
912:
660:
246:
181:
44:
36:
4041:
2546:{\displaystyle \nabla \rho ={\frac {\mathrm {d} \rho }{\mathrm {d} U}}\nabla U.}
3858:
3636:
3275:"Zur kinetischen Theorie der Brownschen Molekularbewegung und der Suspensionen"
1954:
979:
420:
416:
113:
3233:
3205:
4235:
4077:
4047:
3934:
3435:
3315:
Molecular
Driving Forces: Statistical Thermodynamics in Chemistry and Biology
3298:
3258:
3151:
2204:
1485:
1278:
766:
4185:
4065:
3443:
1869:(for example, an electric force) on a particle located at a given position
1771:
900:
2316:
Now consider the equilibrium condition. First, there is no net flow, i.e.
1262:{\displaystyle D_{\text{r}}={\frac {k_{\text{B}}T}{8\pi \,\eta \,r^{3}}}.}
4190:
3874:
3696:
3399:"Revisiting the Stokes-Einstein relation without a hydrodynamic diameter"
3176:
World Year of
Physics – William Sutherland at the University of Melbourne
4195:
2491:
2406:. Second, for non-interacting point particles, the equilibrium density
1783:
1759:{\displaystyle \Lambda _{e}={\frac {z_{i}^{2}F^{2}}{RT}}(D_{+}+D_{-}).}
3426:
1562:{\displaystyle p(\varphi )=N_{0}e^{\frac {q\varphi }{k_{\text{B}}T}},}
2009:
1269:
This is sometimes referred to as the Stokes–Einstein–Debye relation.
1043:
801:
343:
3274:
3189:
1891:. We assume that the particle would respond by moving with velocity
423:. Hence, the equation in the case of a charged particle is given as
3554:
3502:
3339:
2975:
is a constant related to the total number of particles. Therefore
808:, relevant for the electron mobility in normal metals like in the
3340:"Fluctuation-Dissipation: Response Theory in Statistical Physics"
1946:{\displaystyle v(\mathbf {x} )=\mu (\mathbf {x} )F(\mathbf {x} )}
245:, for diffusion of spherical particles through a liquid with low
173:
Two frequently used important special forms of the relation are:
47:. The more general form of the equation in the classical case is
20:
1431:{\displaystyle D={\frac {\mu _{q}p}{q{\frac {dp}{d\varphi }}}},}
361:
31:
is a previously unexpected connection revealed independently by
795:
685:
is the electron temperature or ion temperature in plasma (K).
117:
3456:
3396:
3461:. New York (USA): Holt, Rineheart and Winston. p. 826.
1665:
of an electrolyte the Nernst–Einstein equation is derived:
1100:{\displaystyle D={\frac {k_{\text{B}}T}{6\pi \,\eta \,r}}.}
690:
2203:
The flow of particles due to the diffusion current is, by
863:{\displaystyle D={\frac {\mu _{q}\,E_{\mathrm {F} }}{q}},}
300:{\displaystyle D={\frac {k_{\text{B}}T}{6\pi \,\eta \,r}}}
2008:, but still will be spread out to some extent because of
791:
is electron temperature or ion temperature in plasma (V).
3487:
Kubo, R. (1966). "The fluctuation-dissipation theorem".
2760:, it implies the general form of the Einstein relation:
3351:
Van
Zeghbroeck, "Principles of Semiconductor Devices",
1862:{\displaystyle F(\mathbf {x} )=-\nabla U(\mathbf {x} )}
475:{\displaystyle D={\frac {\mu _{q}\,k_{\text{B}}T}{q}},}
3132:
which corresponds to the classical
Einstein relation.
2047:
The net flux of particles due to the drift current is
906:
233:{\displaystyle D={\frac {\mu _{q}\,k_{\text{B}}T}{q}}}
3827:
Die
Grundlagen der Einsteinschen Relativitäts-Theorie
3058:
2981:
2961:
2876:
2849:
2829:
2766:
2744:
2561:
2500:
2472:
2452:
2432:
2412:
2322:
2213:
2053:
2018:
1994:
1963:
1897:
1875:
1821:
1798:
1671:
1647:{\displaystyle D=\mu _{q}{\frac {k_{\text{B}}T}{q}}.}
1602:
1575:
1498:
1473:
for a proof of this relation). An example assuming a
1444:
1374:
1354:
1326:
1291:
1200:
1173:
1124:
1052:
1028:
988:
945:
925:
876:
818:
777:
751:
699:
671:
645:
588:
557:
513:
493:
429:
255:
190:
55:
3272:
2426:is solely a function of the local potential energy
3476:(in French). Paris (France): Ellipses. p. 78.
3187:
3124:
3042:
2967:
2947:
2855:
2835:
2813:
2752:
2728:
2545:
2478:
2458:
2438:
2418:
2398:
2305:
2192:
2024:
2000:
1980:
1945:
1883:
1861:
1804:
1758:
1646:
1588:
1561:
1457:
1430:
1360:
1332:
1312:
1261:
1186:
1159:
1099:
1034:
1014:
965:
931:
891:
862:
783:
757:
734:
677:
651:
629:
570:
541:
499:
474:
299:
232:
109:is the "mobility", or the ratio of the particle's
84:
3760:Investigations on the Theory of Brownian Movement
1160:{\displaystyle \zeta _{\text{r}}=8\pi \eta r^{3}}
4233:
3471:
3767:Relativity: The Special and the General Theory
2490:as discussed below.) That means, applying the
1470:
3570:
362:Electrical mobility equation (classical case)
3311:
3231:
1777:
630:{\displaystyle \mathrm {m^{2}V^{-1}s^{-1}} }
2738:As this expression holds at every position
1656:
1477:relation for the density of states and the
796:Electrical mobility equation (quantum case)
735:{\displaystyle D={\frac {\mu _{q}\,T}{Z}},}
3577:
3563:
1320:between the density of holes or electrons
3501:
3425:
3257:
1242:
1238:
1087:
1083:
1005:
1001:
838:
719:
449:
290:
286:
210:
65:
4201:Emergency Committee of Atomic Scientists
3486:
1167:, and the rotational diffusion constant
812:, Einstein relation should be modified:
415:is the ratio of the particle's terminal
352:is the radius of the spherical particle.
3457:Ashcroft, N. W.; Mermin, N. D. (1988).
3312:Dill, Ken A.; Bromberg, Sarina (2003).
1015:{\displaystyle \zeta =6\pi \,\eta \,r,}
919:is the inverse of the drag coefficient
385:is related to its generalized mobility
166:This equation is an early example of a
4234:
3945:Albert Einstein World Award of Science
3371:
2446:, i.e. if two locations have the same
542:{\displaystyle \mathrm {m^{2}s^{-1}} }
85:{\displaystyle D=\mu \,k_{\text{B}}T,}
3558:
3220:"Stokes–Einstein–Sutherland equation"
3584:
1981:{\displaystyle \rho (\mathbf {x} )}
907:Stokes–Einstein–Sutherland equation
693:, which is more common for plasma:
243:Stokes–Einstein–Sutherland equation
13:
3974:Albert Einstein: Creator and Rebel
3687:Einstein–Infeld–Hoffmann equations
3657:Einstein relation (kinetic theory)
3089:
3079:
2996:
2986:
2797:
2787:
2717:
2702:
2692:
2659:
2647:
2629:
2626:
2623:
2620:
2617:
2614:
2611:
2608:
2605:
2588:
2585:
2582:
2579:
2576:
2534:
2524:
2514:
2501:
2466:then they will also have the same
2384:
2381:
2378:
2375:
2372:
2369:
2366:
2363:
2360:
2343:
2340:
2337:
2334:
2331:
2283:
2246:
2243:
2240:
2237:
2234:
2231:
2228:
2225:
2222:
2170:
2074:
2071:
2068:
2065:
2062:
1842:
1673:
1481:, which is often used to describe
883:
845:
614:
601:
591:
526:
516:
14:
4258:
3835:The Einstein Theory of Relativity
3538:
4214:
4213:
3950:Einstein Prize for Laser Science
3318:. Garland Science. p. 327.
2915:
2884:
2746:
2599:
2570:
2354:
2325:
2293:
2276:
2256:
2216:
2180:
2163:
2149:
2129:
2115:
2101:
2084:
2056:
1971:
1936:
1922:
1905:
1877:
1852:
1829:
1488:materials, one can compute (see
1471:§ Proof of the general case
1272:
966:{\displaystyle \gamma =\zeta /m}
892:{\displaystyle E_{\mathrm {F} }}
356:
168:fluctuation-dissipation relation
3995:Einstein: His Life and Universe
3480:
3465:
3450:
3406:The Journal of Chemical Physics
3390:
689:If the temperature is given in
3617:Mass–energy equivalence (E=mc)
3365:
3345:
3332:
3305:
3266:
3225:
3212:
3181:
3169:
2919:
2911:
2888:
2880:
2297:
2289:
2280:
2272:
2260:
2252:
2184:
2176:
2167:
2159:
2153:
2145:
2133:
2125:
2119:
2111:
2105:
2097:
2088:
2080:
1975:
1967:
1940:
1932:
1926:
1918:
1909:
1901:
1856:
1848:
1833:
1825:
1750:
1724:
1508:
1502:
1307:
1301:
1285:, i.e. a relation of the form
507:is the diffusion coefficient (
178:Einstein–Smoluchowski equation
1:
3545:Einstein relation calculators
3273:von Smoluchowski, M. (1906).
3162:
1789:Suppose some fixed, external
1313:{\displaystyle p=p(\varphi )}
3474:Composants Ă semiconducteurs
3376:. Springer. pp. 20–28.
2869:Maxwell-Boltzmann statistics
2753:{\displaystyle \mathbf {x} }
2488:Maxwell-Boltzmann statistics
1884:{\displaystyle \mathbf {x} }
1479:Maxwell–Boltzmann statistics
1187:{\displaystyle D_{\text{r}}}
7:
3940:Albert Einstein Peace Prize
3717:Unsuccessful investigations
3188:Sutherland William (1905).
3147:Conductivity (electrolytic)
3135:
2555:Therefore, at equilibrium:
1368:, the Einstein relation is
16:Equation in Brownian motion
10:
4263:
3867:Picasso at the Lapin Agile
3805:Russell–Einstein Manifesto
3677:Bose–Einstein correlations
3520:10.1088/0034-4885/29/1/306
43:in 1906 in their works on
4209:
4123:
4032:
3963:
3917:
3814:
3775:The Meaning of Relativity
3740:
3592:
3472:Bonnaud, Olivier (2006).
3206:10.1080/14786440509463331
1778:Proof of the general case
1346:electrochemical potential
663:of particle (C, coulombs)
4166:Albert Einstein Archives
4096:Bernhard Caesar Einstein
3843:Relics: Einstein's Brain
3791:The Evolution of Physics
3672:Bose–Einstein statistics
3667:Bose–Einstein condensate
3647:Einstein field equations
3299:10.1002/andp.19063261405
3259:10.1002/andp.19053220806
2042:drift-diffusion equation
1657:Nernst–Einstein equation
1458:{\displaystyle \mu _{q}}
1361:{\displaystyle \varphi }
571:{\displaystyle \mu _{q}}
336:of the charged particle;
4176:Einstein Papers Project
3692:Einstein–de Haas effect
2867:can be modeled through
1663:equivalent conductivity
25:kinetic theory of gases
4108:Thomas Martin Einstein
4016:Introducing Relativity
3988:Einstein for Beginners
3891:Einstein and Eddington
3682:Einstein–Cartan theory
3194:Philosophical Magazine
3126:
3044:
2969:
2949:
2857:
2837:
2815:
2754:
2730:
2547:
2480:
2460:
2440:
2420:
2400:
2307:
2194:
2026:
2002:
1982:
1947:
1885:
1863:
1806:
1760:
1648:
1590:
1563:
1459:
1432:
1362:
1340:and the corresponding
1334:
1314:
1263:
1188:
1161:
1101:
1036:
1016:
967:
933:
932:{\displaystyle \zeta }
893:
864:
785:
769:of particle (unitless)
759:
736:
679:
653:
631:
572:
543:
501:
476:
301:
234:
86:
4242:Statistical mechanics
4181:Einstein refrigerator
4171:Einstein's Blackboard
4050:(second wife; cousin)
3981:Einstein and Religion
3930:Albert Einstein Medal
3925:Albert Einstein Award
3783:The World as I See It
3722:Wave–particle duality
3702:Bohr–Einstein debates
3662:Cosmological constant
3642:Equivalence principle
3632:Einstein coefficients
3374:Gas Discharge Physics
3372:Raizer, Yuri (2001).
3232:Einstein, A. (1905).
3127:
3045:
2970:
2950:
2858:
2838:
2836:{\displaystyle \rho }
2823:The relation between
2816:
2755:
2731:
2548:
2481:
2479:{\displaystyle \rho }
2461:
2441:
2421:
2419:{\displaystyle \rho }
2401:
2308:
2195:
2027:
2003:
1983:
1948:
1886:
1864:
1807:
1761:
1649:
1591:
1589:{\displaystyle N_{0}}
1564:
1460:
1433:
1363:
1335:
1315:
1264:
1189:
1162:
1102:
1037:
1035:{\displaystyle \eta }
1017:
968:
939:. A damping constant
934:
894:
865:
786:
760:
737:
680:
654:
632:
573:
544:
502:
477:
302:
235:
101:diffusion coefficient
87:
4060:Hans Albert Einstein
4009:I Am Albert Einstein
3955:Einstein Prize (APS)
3627:Photoelectric effect
3600:Theory of relativity
3157:Ion transport number
3056:
2979:
2959:
2874:
2847:
2827:
2764:
2742:
2559:
2498:
2470:
2450:
2430:
2410:
2320:
2211:
2051:
2016:
1992:
1961:
1895:
1873:
1819:
1796:
1669:
1600:
1573:
1496:
1475:parabolic dispersion
1442:
1372:
1352:
1324:
1289:
1198:
1171:
1122:
1116:rotational diffusion
1050:
1026:
986:
943:
923:
911:In the limit of low
874:
816:
775:
749:
697:
669:
643:
586:
555:
511:
491:
427:
366:For a particle with
253:
188:
160:absolute temperature
53:
3712:Thought experiments
3512:1966RPPh...29..255K
3459:Solid State Physics
3418:2019JChPh.150b1101C
3291:1906AnP...326..756V
3250:1905AnP...322..549E
3142:Smoluchowski factor
2865:classical particles
1702:
1467:electrical mobility
810:free electron model
580:electrical mobility
375:electrical mobility
334:electrical mobility
180:, for diffusion of
41:Marian Smoluchowski
23:(specifically, the
4161:Things named after
4023:Subtle is the Lord
3846:(1994 documentary)
3838:(1923 documentary)
3830:(1922 documentary)
3727:Gravitational wave
3610:General relativity
3605:Special relativity
3358:2021-05-06 at the
3279:Annalen der Physik
3238:Annalen der Physik
3122:
3040:
2965:
2945:
2853:
2833:
2811:
2750:
2726:
2543:
2476:
2456:
2436:
2416:
2396:
2303:
2190:
2022:
1998:
1978:
1943:
1881:
1859:
1814:conservative force
1802:
1756:
1688:
1644:
1586:
1559:
1455:
1428:
1358:
1330:
1310:
1281:with an arbitrary
1259:
1184:
1157:
1118:, the friction is
1097:
1032:
1012:
963:
929:
889:
860:
781:
755:
732:
675:
649:
627:
568:
539:
497:
472:
297:
230:
150:Boltzmann constant
82:
33:William Sutherland
4229:
4228:
4131:Awards and honors
4114:Siegbert Einstein
4002:Einstein's Cosmos
3427:10.1063/1.5080662
3113:
3098:
3097:
3032:
3025:
3004:
2968:{\displaystyle A}
2938:
2931:
2856:{\displaystyle U}
2806:
2805:
2710:
2532:
2459:{\displaystyle U}
2439:{\displaystyle U}
2038:diffusion current
2025:{\displaystyle U}
2001:{\displaystyle U}
1805:{\displaystyle U}
1722:
1639:
1629:
1553:
1546:
1490:density of states
1423:
1420:
1342:quasi Fermi level
1333:{\displaystyle p}
1283:density of states
1254:
1224:
1208:
1181:
1132:
1092:
1069:
855:
784:{\displaystyle T}
758:{\displaystyle Z}
727:
678:{\displaystyle T}
652:{\displaystyle q}
500:{\displaystyle D}
467:
457:
368:electrical charge
319:electrical charge
295:
272:
228:
218:
73:
29:Einstein relation
4254:
4217:
4216:
4116:(distant cousin)
4110:(great-grandson)
4072:Hermann Einstein
4054:Lieserl Einstein
3732:Tea leaf paradox
3579:
3572:
3565:
3556:
3555:
3532:
3531:
3505:
3490:Rep. Prog. Phys.
3484:
3478:
3477:
3469:
3463:
3462:
3454:
3448:
3447:
3429:
3403:
3394:
3388:
3387:
3369:
3363:
3349:
3343:
3336:
3330:
3329:
3309:
3303:
3302:
3270:
3264:
3263:
3261:
3229:
3223:
3216:
3210:
3209:
3185:
3179:
3173:
3131:
3129:
3128:
3123:
3115:
3114:
3111:
3099:
3096:
3092:
3086:
3082:
3076:
3072:
3049:
3047:
3046:
3041:
3033:
3031:
3027:
3026:
3023:
3013:
3005:
3003:
2999:
2993:
2989:
2983:
2974:
2972:
2971:
2966:
2954:
2952:
2951:
2946:
2941:
2940:
2939:
2937:
2933:
2932:
2929:
2922:
2918:
2906:
2887:
2862:
2860:
2859:
2854:
2842:
2840:
2839:
2834:
2820:
2818:
2817:
2812:
2807:
2804:
2800:
2794:
2790:
2784:
2780:
2759:
2757:
2756:
2751:
2749:
2735:
2733:
2732:
2727:
2716:
2712:
2711:
2709:
2705:
2699:
2695:
2689:
2634:
2633:
2632:
2602:
2593:
2592:
2591:
2573:
2552:
2550:
2549:
2544:
2533:
2531:
2527:
2521:
2517:
2511:
2485:
2483:
2482:
2477:
2465:
2463:
2462:
2457:
2445:
2443:
2442:
2437:
2425:
2423:
2422:
2417:
2405:
2403:
2402:
2397:
2389:
2388:
2387:
2357:
2348:
2347:
2346:
2328:
2312:
2310:
2309:
2304:
2296:
2279:
2259:
2251:
2250:
2249:
2219:
2199:
2197:
2196:
2191:
2183:
2166:
2152:
2132:
2118:
2104:
2087:
2079:
2078:
2077:
2059:
2031:
2029:
2028:
2023:
2007:
2005:
2004:
1999:
1987:
1985:
1984:
1979:
1974:
1952:
1950:
1949:
1944:
1939:
1925:
1908:
1890:
1888:
1887:
1882:
1880:
1868:
1866:
1865:
1860:
1855:
1832:
1811:
1809:
1808:
1803:
1791:potential energy
1765:
1763:
1762:
1757:
1749:
1748:
1736:
1735:
1723:
1721:
1713:
1712:
1711:
1701:
1696:
1686:
1681:
1680:
1653:
1651:
1650:
1645:
1640:
1635:
1631:
1630:
1627:
1620:
1618:
1617:
1595:
1593:
1592:
1587:
1585:
1584:
1568:
1566:
1565:
1560:
1555:
1554:
1552:
1548:
1547:
1544:
1537:
1529:
1523:
1522:
1464:
1462:
1461:
1456:
1454:
1453:
1437:
1435:
1434:
1429:
1424:
1422:
1421:
1419:
1411:
1403:
1397:
1393:
1392:
1382:
1367:
1365:
1364:
1359:
1339:
1337:
1336:
1331:
1319:
1317:
1316:
1311:
1268:
1266:
1265:
1260:
1255:
1253:
1252:
1251:
1230:
1226:
1225:
1222:
1215:
1210:
1209:
1206:
1193:
1191:
1190:
1185:
1183:
1182:
1179:
1166:
1164:
1163:
1158:
1156:
1155:
1134:
1133:
1130:
1106:
1104:
1103:
1098:
1093:
1091:
1075:
1071:
1070:
1067:
1060:
1041:
1039:
1038:
1033:
1021:
1019:
1018:
1013:
972:
970:
969:
964:
959:
938:
936:
935:
930:
898:
896:
895:
890:
888:
887:
886:
869:
867:
866:
861:
856:
851:
850:
849:
848:
837:
836:
826:
800:For the case of
790:
788:
787:
782:
764:
762:
761:
756:
741:
739:
738:
733:
728:
723:
718:
717:
707:
684:
682:
681:
676:
658:
656:
655:
650:
636:
634:
633:
628:
626:
625:
624:
612:
611:
599:
598:
577:
575:
574:
569:
567:
566:
548:
546:
545:
540:
538:
537:
536:
524:
523:
506:
504:
503:
498:
481:
479:
478:
473:
468:
463:
459:
458:
455:
448:
447:
437:
414:
406:. The parameter
405:
389:by the equation
388:
384:
372:
351:
341:
331:
316:
306:
304:
303:
298:
296:
294:
278:
274:
273:
270:
263:
239:
237:
236:
231:
229:
224:
220:
219:
216:
209:
208:
198:
157:
147:
136:
108:
98:
91:
89:
88:
83:
75:
74:
71:
39:in 1905, and by
4262:
4261:
4257:
4256:
4255:
4253:
4252:
4251:
4247:Albert Einstein
4232:
4231:
4230:
4225:
4205:
4156:Religious views
4151:Political views
4119:
4104:(granddaughter)
4102:Evelyn Einstein
4090:Robert Einstein
4084:Eduard Einstein
4028:
3965:
3959:
3913:
3883:Einstein's Gift
3817:
3810:
3751:Annus mirabilis
3736:
3707:Teleparallelism
3652:Einstein radius
3622:Brownian motion
3588:
3586:Albert Einstein
3583:
3550:ion diffusivity
3541:
3536:
3535:
3485:
3481:
3470:
3466:
3455:
3451:
3401:
3395:
3391:
3384:
3370:
3366:
3360:Wayback Machine
3350:
3346:
3337:
3333:
3326:
3310:
3306:
3285:(14): 756–780.
3271:
3267:
3230:
3226:
3217:
3213:
3200:(54): 781–785.
3186:
3182:
3174:
3170:
3165:
3138:
3110:
3106:
3088:
3087:
3078:
3077:
3071:
3057:
3054:
3053:
3022:
3018:
3017:
3012:
2995:
2994:
2985:
2984:
2982:
2980:
2977:
2976:
2960:
2957:
2956:
2928:
2924:
2923:
2914:
2907:
2905:
2901:
2897:
2883:
2875:
2872:
2871:
2848:
2845:
2844:
2828:
2825:
2824:
2796:
2795:
2786:
2785:
2779:
2765:
2762:
2761:
2745:
2743:
2740:
2739:
2701:
2700:
2691:
2690:
2688:
2672:
2668:
2604:
2603:
2598:
2597:
2575:
2574:
2569:
2568:
2560:
2557:
2556:
2523:
2522:
2513:
2512:
2510:
2499:
2496:
2495:
2471:
2468:
2467:
2451:
2448:
2447:
2431:
2428:
2427:
2411:
2408:
2407:
2359:
2358:
2353:
2352:
2330:
2329:
2324:
2323:
2321:
2318:
2317:
2292:
2275:
2255:
2221:
2220:
2215:
2214:
2212:
2209:
2208:
2179:
2162:
2148:
2128:
2114:
2100:
2083:
2061:
2060:
2055:
2054:
2052:
2049:
2048:
2017:
2014:
2013:
1993:
1990:
1989:
1970:
1962:
1959:
1958:
1935:
1921:
1904:
1896:
1893:
1892:
1876:
1874:
1871:
1870:
1851:
1828:
1820:
1817:
1816:
1797:
1794:
1793:
1780:
1744:
1740:
1731:
1727:
1714:
1707:
1703:
1697:
1692:
1687:
1685:
1676:
1672:
1670:
1667:
1666:
1659:
1626:
1622:
1621:
1619:
1613:
1609:
1601:
1598:
1597:
1580:
1576:
1574:
1571:
1570:
1543:
1539:
1538:
1530:
1528:
1524:
1518:
1514:
1497:
1494:
1493:
1449:
1445:
1443:
1440:
1439:
1412:
1404:
1402:
1398:
1388:
1384:
1383:
1381:
1373:
1370:
1369:
1353:
1350:
1349:
1325:
1322:
1321:
1290:
1287:
1286:
1275:
1247:
1243:
1231:
1221:
1217:
1216:
1214:
1205:
1201:
1199:
1196:
1195:
1178:
1174:
1172:
1169:
1168:
1151:
1147:
1129:
1125:
1123:
1120:
1119:
1114:In the case of
1076:
1066:
1062:
1061:
1059:
1051:
1048:
1047:
1027:
1024:
1023:
987:
984:
983:
955:
944:
941:
940:
924:
921:
920:
915:, the mobility
913:Reynolds number
909:
882:
881:
877:
875:
872:
871:
844:
843:
839:
832:
828:
827:
825:
817:
814:
813:
798:
776:
773:
772:
750:
747:
746:
713:
709:
708:
706:
698:
695:
694:
670:
667:
666:
661:electric charge
644:
641:
640:
617:
613:
604:
600:
594:
590:
589:
587:
584:
583:
562:
558:
556:
553:
552:
529:
525:
519:
515:
514:
512:
509:
508:
492:
489:
488:
454:
450:
443:
439:
438:
436:
428:
425:
424:
412:
407:
399:
390:
386:
382:
377:
370:
364:
359:
349:
342:is the dynamic
339:
329:
324:
314:
279:
269:
265:
264:
262:
254:
251:
250:
247:Reynolds number
215:
211:
204:
200:
199:
197:
189:
186:
185:
155:
146:
140:
131:
121:
106:
96:
70:
66:
54:
51:
50:
45:Brownian motion
37:Albert Einstein
17:
12:
11:
5:
4260:
4250:
4249:
4244:
4227:
4226:
4224:
4223:
4210:
4207:
4206:
4204:
4203:
4198:
4193:
4188:
4183:
4178:
4173:
4168:
4163:
4158:
4153:
4148:
4143:
4138:
4133:
4127:
4125:
4121:
4120:
4118:
4117:
4111:
4105:
4099:
4093:
4087:
4081:
4075:
4069:
4063:
4057:
4051:
4045:
4038:
4036:
4030:
4029:
4027:
4026:
4019:
4012:
4005:
3998:
3991:
3984:
3977:
3969:
3967:
3961:
3960:
3958:
3957:
3952:
3947:
3942:
3937:
3932:
3927:
3921:
3919:
3915:
3914:
3912:
3911:
3903:
3895:
3894:(2008 TV film)
3887:
3879:
3871:
3863:
3859:Young Einstein
3855:
3851:Insignificance
3847:
3839:
3831:
3822:
3820:
3812:
3811:
3809:
3808:
3802:
3799:Why Socialism?
3795:
3787:
3779:
3771:
3763:
3756:
3746:
3744:
3738:
3737:
3735:
3734:
3729:
3724:
3719:
3714:
3709:
3704:
3699:
3694:
3689:
3684:
3679:
3674:
3669:
3664:
3659:
3654:
3649:
3644:
3639:
3637:Einstein solid
3634:
3629:
3624:
3619:
3614:
3613:
3612:
3607:
3596:
3594:
3590:
3589:
3582:
3581:
3574:
3567:
3559:
3553:
3552:
3547:
3540:
3539:External links
3537:
3534:
3533:
3496:(1): 255–284.
3479:
3464:
3449:
3389:
3383:978-3540194620
3382:
3364:
3344:
3331:
3324:
3304:
3265:
3244:(8): 549–560.
3224:
3211:
3180:
3167:
3166:
3164:
3161:
3160:
3159:
3154:
3149:
3144:
3137:
3134:
3121:
3118:
3109:
3105:
3102:
3095:
3091:
3085:
3081:
3075:
3070:
3067:
3064:
3061:
3039:
3036:
3030:
3021:
3016:
3011:
3008:
3002:
2998:
2992:
2988:
2964:
2944:
2936:
2927:
2921:
2917:
2913:
2910:
2904:
2900:
2896:
2893:
2890:
2886:
2882:
2879:
2852:
2832:
2810:
2803:
2799:
2793:
2789:
2783:
2778:
2775:
2772:
2769:
2748:
2725:
2722:
2719:
2715:
2708:
2704:
2698:
2694:
2687:
2684:
2681:
2678:
2675:
2671:
2667:
2664:
2661:
2658:
2655:
2652:
2649:
2646:
2643:
2640:
2637:
2631:
2628:
2625:
2622:
2619:
2616:
2613:
2610:
2607:
2601:
2596:
2590:
2587:
2584:
2581:
2578:
2572:
2567:
2564:
2542:
2539:
2536:
2530:
2526:
2520:
2516:
2509:
2506:
2503:
2475:
2455:
2435:
2415:
2395:
2392:
2386:
2383:
2380:
2377:
2374:
2371:
2368:
2365:
2362:
2356:
2351:
2345:
2342:
2339:
2336:
2333:
2327:
2302:
2299:
2295:
2291:
2288:
2285:
2282:
2278:
2274:
2271:
2268:
2265:
2262:
2258:
2254:
2248:
2245:
2242:
2239:
2236:
2233:
2230:
2227:
2224:
2218:
2189:
2186:
2182:
2178:
2175:
2172:
2169:
2165:
2161:
2158:
2155:
2151:
2147:
2144:
2141:
2138:
2135:
2131:
2127:
2124:
2121:
2117:
2113:
2110:
2107:
2103:
2099:
2096:
2093:
2090:
2086:
2082:
2076:
2073:
2070:
2067:
2064:
2058:
2021:
1997:
1977:
1973:
1969:
1966:
1955:Drag (physics)
1942:
1938:
1934:
1931:
1928:
1924:
1920:
1917:
1914:
1911:
1907:
1903:
1900:
1879:
1858:
1854:
1850:
1847:
1844:
1841:
1838:
1835:
1831:
1827:
1824:
1801:
1779:
1776:
1755:
1752:
1747:
1743:
1739:
1734:
1730:
1726:
1720:
1717:
1710:
1706:
1700:
1695:
1691:
1684:
1679:
1675:
1658:
1655:
1643:
1638:
1634:
1625:
1616:
1612:
1608:
1605:
1583:
1579:
1558:
1551:
1542:
1536:
1533:
1527:
1521:
1517:
1513:
1510:
1507:
1504:
1501:
1452:
1448:
1427:
1418:
1415:
1410:
1407:
1401:
1396:
1391:
1387:
1380:
1377:
1357:
1329:
1309:
1306:
1303:
1300:
1297:
1294:
1274:
1271:
1258:
1250:
1246:
1241:
1237:
1234:
1229:
1220:
1213:
1204:
1177:
1154:
1150:
1146:
1143:
1140:
1137:
1128:
1096:
1090:
1086:
1082:
1079:
1074:
1065:
1058:
1055:
1031:
1011:
1008:
1004:
1000:
997:
994:
991:
962:
958:
954:
951:
948:
928:
908:
905:
885:
880:
859:
854:
847:
842:
835:
831:
824:
821:
797:
794:
793:
792:
780:
770:
754:
731:
726:
722:
716:
712:
705:
702:
687:
686:
674:
664:
648:
638:
623:
620:
616:
610:
607:
603:
597:
593:
565:
561:
550:
535:
532:
528:
522:
518:
496:
471:
466:
462:
453:
446:
442:
435:
432:
421:electric field
419:to an applied
417:drift velocity
410:
397:
380:
363:
360:
358:
355:
354:
353:
347:
337:
327:
322:
321:of a particle;
308:
307:
293:
289:
285:
282:
277:
268:
261:
258:
240:
227:
223:
214:
207:
203:
196:
193:
164:
163:
153:
144:
138:
129:
116:to an applied
114:drift velocity
104:
81:
78:
69:
64:
61:
58:
15:
9:
6:
4:
3:
2:
4259:
4248:
4245:
4243:
4240:
4239:
4237:
4222:
4221:
4212:
4211:
4208:
4202:
4199:
4197:
4194:
4192:
4189:
4187:
4184:
4182:
4179:
4177:
4174:
4172:
4169:
4167:
4164:
4162:
4159:
4157:
4154:
4152:
4149:
4147:
4144:
4142:
4139:
4137:
4134:
4132:
4129:
4128:
4126:
4122:
4115:
4112:
4109:
4106:
4103:
4100:
4097:
4094:
4091:
4088:
4085:
4082:
4079:
4078:Maja Einstein
4076:
4073:
4070:
4067:
4064:
4061:
4058:
4055:
4052:
4049:
4048:Elsa Einstein
4046:
4043:
4040:
4039:
4037:
4035:
4031:
4025:
4024:
4020:
4018:
4017:
4013:
4011:
4010:
4006:
4004:
4003:
3999:
3997:
3996:
3992:
3990:
3989:
3985:
3983:
3982:
3978:
3976:
3975:
3971:
3970:
3968:
3962:
3956:
3953:
3951:
3948:
3946:
3943:
3941:
3938:
3936:
3935:Kalinga Prize
3933:
3931:
3928:
3926:
3923:
3922:
3920:
3916:
3909:
3908:
3904:
3902:(2017 series)
3901:
3900:
3896:
3893:
3892:
3888:
3885:
3884:
3880:
3877:
3876:
3872:
3869:
3868:
3864:
3861:
3860:
3856:
3853:
3852:
3848:
3845:
3844:
3840:
3837:
3836:
3832:
3829:
3828:
3824:
3823:
3821:
3819:
3813:
3806:
3803:
3800:
3796:
3793:
3792:
3788:
3785:
3784:
3780:
3777:
3776:
3772:
3769:
3768:
3764:
3761:
3757:
3754:
3752:
3748:
3747:
3745:
3743:
3739:
3733:
3730:
3728:
3725:
3723:
3720:
3718:
3715:
3713:
3710:
3708:
3705:
3703:
3700:
3698:
3695:
3693:
3690:
3688:
3685:
3683:
3680:
3678:
3675:
3673:
3670:
3668:
3665:
3663:
3660:
3658:
3655:
3653:
3650:
3648:
3645:
3643:
3640:
3638:
3635:
3633:
3630:
3628:
3625:
3623:
3620:
3618:
3615:
3611:
3608:
3606:
3603:
3602:
3601:
3598:
3597:
3595:
3591:
3587:
3580:
3575:
3573:
3568:
3566:
3561:
3560:
3557:
3551:
3548:
3546:
3543:
3542:
3529:
3525:
3521:
3517:
3513:
3509:
3504:
3499:
3495:
3492:
3491:
3483:
3475:
3468:
3460:
3453:
3445:
3441:
3437:
3433:
3428:
3423:
3419:
3415:
3412:(2): 021101.
3411:
3407:
3400:
3393:
3385:
3379:
3375:
3368:
3361:
3357:
3354:
3348:
3341:
3335:
3327:
3325:9780815320517
3321:
3317:
3316:
3308:
3300:
3296:
3292:
3288:
3284:
3281:(in German).
3280:
3276:
3269:
3260:
3255:
3251:
3247:
3243:
3240:(in German).
3239:
3235:
3228:
3221:
3215:
3207:
3203:
3199:
3195:
3191:
3184:
3177:
3172:
3168:
3158:
3155:
3153:
3152:Stokes radius
3150:
3148:
3145:
3143:
3140:
3139:
3133:
3119:
3116:
3107:
3103:
3100:
3093:
3083:
3073:
3068:
3065:
3062:
3059:
3050:
3037:
3034:
3028:
3019:
3014:
3009:
3006:
3000:
2990:
2962:
2942:
2934:
2925:
2908:
2902:
2898:
2894:
2891:
2877:
2870:
2866:
2850:
2830:
2821:
2808:
2801:
2791:
2781:
2776:
2773:
2770:
2767:
2736:
2723:
2720:
2713:
2706:
2696:
2685:
2682:
2679:
2676:
2673:
2669:
2665:
2662:
2656:
2653:
2650:
2644:
2641:
2638:
2635:
2594:
2565:
2562:
2553:
2540:
2537:
2528:
2518:
2507:
2504:
2493:
2489:
2473:
2453:
2433:
2413:
2393:
2390:
2349:
2314:
2300:
2286:
2269:
2266:
2263:
2206:
2201:
2187:
2173:
2156:
2142:
2139:
2136:
2122:
2108:
2094:
2091:
2045:
2043:
2039:
2035:
2034:drift current
2032:, called the
2019:
2011:
1995:
1964:
1956:
1929:
1915:
1912:
1898:
1845:
1839:
1836:
1822:
1815:
1799:
1792:
1787:
1785:
1775:
1773:
1769:
1753:
1745:
1741:
1737:
1732:
1728:
1718:
1715:
1708:
1704:
1698:
1693:
1689:
1682:
1677:
1664:
1654:
1641:
1636:
1632:
1623:
1614:
1610:
1606:
1603:
1581:
1577:
1556:
1549:
1540:
1534:
1531:
1525:
1519:
1515:
1511:
1505:
1499:
1491:
1487:
1486:semiconductor
1484:
1480:
1476:
1472:
1468:
1450:
1446:
1425:
1416:
1413:
1408:
1405:
1399:
1394:
1389:
1385:
1378:
1375:
1355:
1347:
1343:
1327:
1304:
1298:
1295:
1292:
1284:
1280:
1279:semiconductor
1273:Semiconductor
1270:
1256:
1248:
1244:
1239:
1235:
1232:
1227:
1218:
1211:
1202:
1175:
1152:
1148:
1144:
1141:
1138:
1135:
1126:
1117:
1112:
1110:
1109:Lennard-Jones
1094:
1088:
1084:
1080:
1077:
1072:
1063:
1056:
1053:
1045:
1029:
1009:
1006:
1002:
998:
995:
992:
989:
981:
977:
960:
956:
952:
949:
946:
926:
918:
914:
904:
902:
878:
857:
852:
840:
833:
829:
822:
819:
811:
807:
803:
778:
771:
768:
767:charge number
752:
745:
744:
743:
729:
724:
720:
714:
710:
703:
700:
692:
672:
665:
662:
646:
639:
621:
618:
608:
605:
595:
581:
563:
559:
551:
533:
530:
520:
494:
487:
486:
485:
482:
469:
464:
460:
451:
444:
440:
433:
430:
422:
418:
413:
404:
400:
393:
383:
376:
369:
357:Special cases
348:
345:
338:
335:
330:
323:
320:
313:
312:
311:
291:
287:
283:
280:
275:
266:
259:
256:
248:
244:
241:
225:
221:
212:
205:
201:
194:
191:
183:
179:
176:
175:
174:
171:
169:
161:
154:
151:
143:
139:
135:
128:
124:
119:
115:
112:
105:
102:
95:
94:
93:
79:
76:
67:
62:
59:
56:
48:
46:
42:
38:
34:
30:
26:
22:
4218:
4186:Einsteinhaus
4066:Pauline Koch
4044:(first wife)
4042:Mileva Marić
4021:
4014:
4007:
4000:
3993:
3986:
3979:
3972:
3905:
3897:
3889:
3881:
3873:
3865:
3857:
3849:
3841:
3833:
3825:
3789:
3781:
3773:
3765:
3750:
3656:
3493:
3488:
3482:
3473:
3467:
3458:
3452:
3409:
3405:
3392:
3373:
3367:
3347:
3334:
3314:
3307:
3282:
3278:
3268:
3241:
3237:
3227:
3214:
3197:
3196:. Series 6.
3193:
3183:
3171:
3051:
2822:
2737:
2554:
2315:
2202:
2046:
2037:
2033:
1812:generates a
1788:
1781:
1772:gas constant
1767:
1660:
1276:
1113:
975:
916:
910:
901:Fermi energy
806:Fermi liquid
799:
688:
483:
408:
402:
395:
391:
378:
365:
325:
309:
242:
177:
172:
165:
141:
133:
126:
122:
49:
28:
18:
4191:Einsteinium
3964:Books about
3910:(2023 film)
3907:Oppenheimer
3886:(2003 play)
3878:(1994 film)
3870:(1993 play)
3862:(1988 film)
3854:(1985 film)
3697:EPR paradox
3353:Chapter 2.7
3218:P. Hänggi,
980:Stokes' law
184:particles:
4236:Categories
4196:Max Talmey
4098:(grandson)
4056:(daughter)
3816:In popular
3163:References
2492:chain rule
2486:(e.g. see
2205:Fick's law
1784:Ryogo Kubo
3528:250892844
3503:0710.4394
3436:0021-9606
3104:μ
3084:ρ
3074:ρ
3069:μ
3066:−
3035:ρ
3010:−
2991:ρ
2903:−
2878:ρ
2831:ρ
2792:ρ
2782:ρ
2777:μ
2774:−
2718:∇
2697:ρ
2683:−
2680:ρ
2677:μ
2674:−
2663:ρ
2660:∇
2654:−
2648:∇
2645:ρ
2642:μ
2639:−
2535:∇
2519:ρ
2505:ρ
2502:∇
2474:ρ
2414:ρ
2287:ρ
2284:∇
2267:−
2171:∇
2157:μ
2143:ρ
2140:−
2123:ρ
2095:μ
2010:diffusion
1965:ρ
1916:μ
1843:∇
1840:−
1746:−
1674:Λ
1611:μ
1535:φ
1506:φ
1483:inorganic
1447:μ
1417:φ
1386:μ
1356:φ
1305:φ
1240:η
1236:π
1145:η
1142:π
1127:ζ
1111:system.
1085:η
1081:π
1044:viscosity
1030:η
1003:η
999:π
990:ζ
953:ζ
947:γ
927:ζ
830:μ
802:Fermi gas
711:μ
619:−
606:−
560:μ
531:−
441:μ
344:viscosity
288:η
284:π
202:μ
63:μ
35:in 1904,
4220:Category
4146:Memorial
4092:(cousin)
4080:(sister)
4074:(father)
4068:(mother)
3966:Einstein
3801:" (1949)
3762:" (1905)
3444:30646717
3356:Archived
3136:See also
111:terminal
4124:Related
3818:culture
3593:Physics
3508:Bibcode
3414:Bibcode
3287:Bibcode
3246:Bibcode
1770:is the
1465:is the
1042:is the
765:is the
659:is the
578:is the
332:is the
317:is the
182:charged
158:is the
148:is the
99:is the
27:), the
21:physics
4034:Family
3918:Prizes
3899:Genius
3807:(1955)
3794:(1938)
3786:(1934)
3778:(1922)
3770:(1916)
3755:(1905)
3753:papers
3526:
3442:
3434:
3380:
3322:
2955:where
1569:where
1438:where
1022:where
982:gives
870:where
742:where
484:where
373:, its
92:where
4141:House
4136:Brain
4086:(son)
4062:(son)
3742:Works
3524:S2CID
3498:arXiv
3402:(PDF)
2040:(see
1953:(see
1766:were
1469:(see
1277:In a
804:or a
691:volts
310:Here
118:force
3875:I.Q.
3440:PMID
3432:ISSN
3378:ISBN
3320:ISBN
2863:for
2843:and
1344:(or
3516:doi
3422:doi
3410:150
3295:doi
3283:326
3254:doi
3242:322
3202:doi
2044:).
1492:):
1194:is
899:is
19:In
4238::
3522:.
3514:.
3506:.
3494:29
3438:.
3430:.
3420:.
3408:.
3404:.
3293:.
3277:.
3252:.
3236:.
3192:.
2494:,
2207:,
1786:.
1774:.
1348:)
978:,
903:.
637:).
549:).
394:=
249::
125:=
120:,
3797:"
3758:"
3578:e
3571:t
3564:v
3530:.
3518::
3510::
3500::
3446:.
3424::
3416::
3386:.
3362:.
3342:.
3328:.
3301:.
3297::
3289::
3262:.
3256::
3248::
3222:.
3208:.
3204::
3198:9
3120:,
3117:T
3112:B
3108:k
3101:=
3094:U
3090:d
3080:d
3063:=
3060:D
3038:.
3029:T
3024:B
3020:k
3015:1
3007:=
3001:U
2997:d
2987:d
2963:A
2943:,
2935:T
2930:B
2926:k
2920:)
2916:x
2912:(
2909:U
2899:e
2895:A
2892:=
2889:)
2885:x
2881:(
2851:U
2809:.
2802:U
2798:d
2788:d
2771:=
2768:D
2747:x
2724:.
2721:U
2714:)
2707:U
2703:d
2693:d
2686:D
2670:(
2666:=
2657:D
2651:U
2636:=
2630:n
2627:o
2624:i
2621:s
2618:u
2615:f
2612:f
2609:i
2606:d
2600:J
2595:+
2589:t
2586:f
2583:i
2580:r
2577:d
2571:J
2566:=
2563:0
2541:.
2538:U
2529:U
2525:d
2515:d
2508:=
2454:U
2434:U
2394:0
2391:=
2385:n
2382:o
2379:i
2376:s
2373:u
2370:f
2367:f
2364:i
2361:d
2355:J
2350:+
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2326:J
2301:,
2298:)
2294:x
2290:(
2281:)
2277:x
2273:(
2270:D
2264:=
2261:)
2257:x
2253:(
2247:n
2244:o
2241:i
2238:s
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2232:f
2229:f
2226:i
2223:d
2217:J
2188:,
2185:)
2181:x
2177:(
2174:U
2168:)
2164:x
2160:(
2154:)
2150:x
2146:(
2137:=
2134:)
2130:x
2126:(
2120:)
2116:x
2112:(
2109:F
2106:)
2102:x
2098:(
2092:=
2089:)
2085:x
2081:(
2075:t
2072:f
2069:i
2066:r
2063:d
2057:J
2020:U
1996:U
1976:)
1972:x
1968:(
1941:)
1937:x
1933:(
1930:F
1927:)
1923:x
1919:(
1913:=
1910:)
1906:x
1902:(
1899:v
1878:x
1857:)
1853:x
1849:(
1846:U
1837:=
1834:)
1830:x
1826:(
1823:F
1800:U
1768:R
1754:.
1751:)
1742:D
1738:+
1733:+
1729:D
1725:(
1719:T
1716:R
1709:2
1705:F
1699:2
1694:i
1690:z
1683:=
1678:e
1642:.
1637:q
1633:T
1628:B
1624:k
1615:q
1607:=
1604:D
1582:0
1578:N
1557:,
1550:T
1545:B
1541:k
1532:q
1526:e
1520:0
1516:N
1512:=
1509:)
1503:(
1500:p
1451:q
1426:,
1414:d
1409:p
1406:d
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1379:=
1376:D
1328:p
1308:)
1302:(
1299:p
1296:=
1293:p
1257:.
1249:3
1245:r
1233:8
1228:T
1223:B
1219:k
1212:=
1207:r
1203:D
1180:r
1176:D
1153:3
1149:r
1139:8
1136:=
1131:r
1095:.
1089:r
1078:6
1073:T
1068:B
1064:k
1057:=
1054:D
1010:,
1007:r
996:6
993:=
976:r
961:m
957:/
950:=
917:ÎĽ
884:F
879:E
858:,
853:q
846:F
841:E
834:q
823:=
820:D
779:T
753:Z
730:,
725:Z
721:T
715:q
704:=
701:D
673:T
647:q
622:1
615:s
609:1
602:V
596:2
592:m
582:(
564:q
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527:s
521:2
517:m
495:D
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456:B
452:k
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434:=
431:D
411:q
409:ÎĽ
403:q
401:/
398:q
396:ÎĽ
392:ÎĽ
387:ÎĽ
381:q
379:ÎĽ
371:q
350:r
346:;
340:η
328:q
326:ÎĽ
315:q
292:r
281:6
276:T
271:B
267:k
260:=
257:D
226:q
222:T
217:B
213:k
206:q
195:=
192:D
162:.
156:T
152:;
145:B
142:k
137:;
134:F
132:/
130:d
127:v
123:ÎĽ
107:ÎĽ
103:;
97:D
80:,
77:T
72:B
68:k
60:=
57:D
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