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Category:Statistical mechanics

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44:, which is concerned with the motion of particles or objects when subjected to a force. It provides a framework for relating the microscopic properties of individual atoms and molecules to the macroscopic or bulk properties of materials that can be observed in every day life, therefore explaining 1653: 48:
as a natural result of statistics and mechanics (classical and quantum). In particular, it can be used to calculate the thermodynamic properties of bulk materials from the spectroscopic data of individual molecules.
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Relation between Schrödinger's equation and the path integral formulation of quantum mechanics
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The following 200 pages are in this category, out of approximately 273 total.
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This category has the following 18 subcategories, out of 18 total.
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tools for dealing with large populations, to the field of
297: 1669: 54: 375:Philosophy of thermal and statistical physics 723:Correlation function (statistical mechanics) 1275:Laplace principle (large deviations theory) 886:EPS Statistical and Nonlinear Physics Prize 1213:Berezinskii–Kosterlitz–Thouless transition 1077:Heterogeneous random walk in one dimension 494:Pages in category "Statistical mechanics" 1030:Green's function (many-body theory) 499:This list may not reflect recent changes 1670: 1440:Non-equilibrium statistical mechanics 837:Eigenstate thermalization hypothesis 780:Density matrix renormalization group 156: 1087:Higher spin alternating sign matrix 572:Asymmetric simple exclusion process 13: 1387:Microstate (statistical mechanics) 1183:Kinetic exchange models of markets 953:Fundamental thermodynamic relation 847:Einstein relation (kinetic theory) 508: 163: 155: 14: 1699: 1446:Nonequilibrium partition identity 1280:Lattice density functional theory 948:Functional renormalization group 933:Fluctuation–dissipation theorem 800:Distribution function (physics) 1337:Maximum entropy thermodynamics 599:Bhatnagar–Gross–Krook operator 229:Statistical mechanics theorems 1: 1198:Kirkwood–Buff solution theory 928:Flory–Huggins solution theory 908:Fick's laws of diffusion 795:Direct simulation Monte Carlo 748:Course of Theoretical Physics 693:Characteristic state function 562:Arcsine laws (Wiener process) 1624:Radial distribution function 1173:Kardar–Parisi–Zhang equation 1146:Jordan–Wigner transformation 880:Entropy of network ensembles 492: 7: 1530:Poincaré recurrence theorem 1515:Percus–Yevick approximation 1372:Mean-field particle methods 1067:Helix–coil transition model 478:Statistical mechanics stubs 10: 1704: 1582:Quantum Boltzmann equation 1567:Q-exponential distribution 1490:Pair distribution function 1285:Lattice model (biophysics) 1260:Landau–Peierls instability 1092:Hypernetted-chain equation 913:Field-theoretic simulation 614:Biology Monte Carlo method 542:Ahlswede–Daykin inequality 445:Statistical field theories 16:The main article for this 15: 1510:Path integral formulation 1478:Ornstein–Zernike equation 1429:Nakajima–Zwanzig equation 1424:Nagel–Schreckenberg model 1382:Microscopic reversibility 1367:Mean squared displacement 1072:Henry adsorption constant 1005:Gibbs rotational ensemble 869:Entanglement distillation 1607:Quantum phase transition 1300:Local time (mathematics) 938:Free-energy perturbation 708:Compressibility equation 661:Bose–Einstein statistics 631:Bohr–Van Leeuwen theorem 626:Bogoliubov inner product 594:Bennett acceptance ratio 577:History of atomic theory 1644:Reduced dimensions form 1572:Q-Gaussian distribution 1233:Kramers–Wannier duality 1228:Kramers–Moyal expansion 620:Blind signal separation 1577:Q-Weibull distribution 1456:Numerical sign problem 1434:Nernst–Planck equation 1407:Mori-Zwanzig formalism 1322:Magnetic refrigeration 975:Gas in a harmonic trap 903:Fermi–Dirac statistics 832:Effective field theory 728:Correlation inequality 718:Corner transfer matrix 641:Boltzmann distribution 458:Statistical physicists 32:is the application of 1587:Quantum concentration 1168:Kaniadakis statistics 1163:Kahn–Kalai conjecture 713:Configuration entropy 688:Chapman–Enskog theory 408:Renormalization group 277:Thermodynamic entropy 216:Statistical ensembles 30:Statistical mechanics 23:Statistical mechanics 1688:Subfields of physics 1683:Mathematical physics 1649:Regularity structure 1639:Random subcube model 1629:Random cluster model 1592:Quantum dimer models 1540:Population inversion 1451:Nonextensive entropy 1327:Majumdar–Ghosh model 1114:Infrared fixed point 1052:Hagedorn temperature 1035:Griffiths inequality 1025:Green–Kubo relations 980:Gaussian fixed point 770:Darwin–Fowler method 683:Cellular Potts model 1678:Applied probability 1634:Random energy model 1612:Quasistatic process 1597:Quantum dissipation 1505:Particle statistics 1342:Maximum term method 1188:Kinetic Monte Carlo 985:Gaussian free field 517:Statistical physics 203:Partition functions 190:Particle statistics 1495:Parallel tempering 1468:Order and disorder 1402:Monte Carlo method 1290:Lieb–Liniger model 1141:Jarzynski equality 1119:Interaction energy 1082:High-entropy alloy 1057:Hard hexagon model 1047:H-stable potential 1015:Ginzburg criterion 891:Ergodic hypothesis 857:Energy-based model 852:Electronic entropy 842:Eight-vertex model 753:Critical dimension 698:Chiral Potts model 646:Boltzmann equation 636:Boltzmann constant 567:Arrhenius equation 345:Percolation theory 253:Critical phenomena 173:Equations of state 34:probability theory 1661:(previous page) ( 1525:Planck's law 1362:Mean sojourn time 1347:Mean-field theory 1295:Lifson–Roig model 1270:Langevin equation 1265:Langevin dynamics 874:Entropy of mixing 785:Density of states 743:Coupling constant 703:Cluster expansion 666:Brownian dynamics 503:(previous page) ( 362:Phase transitions 36:, which includes 1695: 1442: 1392:Mixing (physics) 1310:Luttinger liquid 882: 865: 863:Ensemble average 815:Dulong–Petit law 810:Downhill folding 790:Detailed balance 758:Cutoff (physics) 622: 604:Binder parameter 519: 483: 463: 450: 437: 430: 413: 400: 380: 367: 360: 350: 330: 323: 306: 299: 282: 275: 258: 251: 234: 221: 208: 195: 188: 178: 1703: 1702: 1698: 1697: 1696: 1694: 1693: 1692: 1668: 1667: 1666: 1660: 1659: 1658: 1616: 1602:Quantum finance 1559: 1535:Polymer physics 1500:Particle filter 1482: 1460: 1438: 1416: 1397:Molecular chaos 1332:Master equation 1314: 1247: 1223:KPZ fixed point 1208:Knudsen paradox 1150: 1133: 1124:Internal energy 1101: 1097:Hyperuniformity 1039: 990:Gibbs algorithm 957: 895: 878: 861: 819: 762: 675: 671:Brownian motion 656:Boolean network 651:Boltzmann Medal 618: 589:BBGKY hierarchy 581: 534: 522: 515: 491: 490: 489: 488: 485: 484: 468: 465: 464: 452: 451: 439: 438: 427: 418: 415: 414: 402: 401: 395:Random matrices 385: 382: 381: 369: 368: 357: 352: 351: 335: 332: 331: 320: 311: 308: 307: 296: 287: 284: 283: 272: 263: 260: 259: 248: 239: 236: 235: 223: 222: 210: 209: 197: 196: 185: 180: 179: 154: 153: 152: 151: 57: 27: 12: 11: 5: 1701: 1691: 1690: 1685: 1680: 1657: 1656: 1651: 1646: 1641: 1636: 1631: 1626: 1620: 1617: 1615: 1614: 1609: 1604: 1599: 1594: 1589: 1584: 1579: 1574: 1569: 1563: 1560: 1558: 1557: 1552: 1550:Predictability 1547: 1542: 1537: 1532: 1527: 1522: 1517: 1512: 1507: 1502: 1497: 1492: 1486: 1483: 1481: 1480: 1475: 1473:Order operator 1470: 1464: 1461: 1459: 1458: 1453: 1448: 1443: 1436: 1431: 1426: 1420: 1417: 1415: 1414: 1409: 1404: 1399: 1394: 1389: 1384: 1379: 1374: 1369: 1364: 1359: 1357:Mean free time 1354: 1352:Mean free path 1349: 1344: 1339: 1334: 1329: 1324: 1318: 1315: 1313: 1312: 1307: 1302: 1297: 1292: 1287: 1282: 1277: 1272: 1267: 1262: 1257: 1251: 1248: 1246: 1245: 1240: 1235: 1230: 1225: 1220: 1215: 1210: 1205: 1200: 1195: 1193:Kinetic scheme 1190: 1185: 1180: 1175: 1170: 1165: 1160: 1154: 1151: 1149: 1148: 1143: 1137: 1134: 1132: 1131: 1126: 1121: 1116: 1111: 1109:Ice-type model 1105: 1102: 1100: 1099: 1094: 1089: 1084: 1079: 1074: 1069: 1064: 1059: 1054: 1049: 1043: 1040: 1038: 1037: 1032: 1027: 1022: 1017: 1012: 1007: 1002: 997: 992: 987: 982: 977: 972: 967: 961: 958: 956: 955: 950: 945: 940: 935: 930: 925: 923:FKG inequality 920: 915: 910: 905: 899: 896: 894: 893: 888: 883: 876: 871: 866: 859: 854: 849: 844: 839: 834: 829: 823: 820: 818: 817: 812: 807: 802: 797: 792: 787: 782: 777: 775:Density matrix 772: 766: 763: 761: 760: 755: 750: 745: 740: 735: 730: 725: 720: 715: 710: 705: 700: 695: 690: 685: 679: 676: 674: 673: 668: 663: 658: 653: 648: 643: 638: 633: 628: 623: 616: 611: 606: 601: 596: 591: 585: 582: 580: 579: 574: 569: 564: 559: 554: 549: 544: 538: 535: 533: 532: 526: 523: 521: 520: 512: 510: 509: 495: 487: 486: 476: 475: 472: 469: 467: 466: 456: 455: 453: 443: 442: 440: 426: 425: 422: 419: 417: 416: 406: 405: 403: 393: 392: 389: 386: 384: 383: 373: 372: 370: 356: 355: 353: 343: 342: 339: 336: 334: 333: 325:Lattice models 319: 318: 315: 312: 310: 309: 295: 294: 291: 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1355: 1353: 1350: 1348: 1345: 1343: 1340: 1338: 1335: 1333: 1330: 1328: 1325: 1323: 1320: 1319: 1316: 1311: 1308: 1306: 1305:Loop integral 1303: 1301: 1298: 1296: 1293: 1291: 1288: 1286: 1283: 1281: 1278: 1276: 1273: 1271: 1268: 1266: 1263: 1261: 1258: 1256: 1255:Landau theory 1253: 1252: 1249: 1244: 1241: 1239: 1236: 1234: 1231: 1229: 1226: 1224: 1221: 1219: 1218:Kovacs effect 1216: 1214: 1211: 1209: 1206: 1204: 1201: 1199: 1196: 1194: 1191: 1189: 1186: 1184: 1181: 1179: 1178:KBD algorithm 1176: 1174: 1171: 1169: 1166: 1164: 1161: 1159: 1156: 1155: 1152: 1147: 1144: 1142: 1139: 1138: 1135: 1130: 1127: 1125: 1122: 1120: 1117: 1115: 1112: 1110: 1107: 1106: 1103: 1098: 1095: 1093: 1090: 1088: 1085: 1083: 1080: 1078: 1075: 1073: 1070: 1068: 1065: 1063: 1060: 1058: 1055: 1053: 1050: 1048: 1045: 1044: 1041: 1036: 1033: 1031: 1028: 1026: 1023: 1021: 1018: 1016: 1013: 1011: 1008: 1006: 1003: 1001: 1000:Gibbs paradox 998: 996: 995:Gibbs measure 993: 991: 988: 986: 983: 981: 978: 976: 973: 971: 968: 966: 963: 962: 959: 954: 951: 949: 946: 944: 941: 939: 936: 934: 931: 929: 926: 924: 921: 919: 918:File dynamics 916: 914: 911: 909: 906: 904: 901: 900: 897: 892: 889: 887: 884: 881: 877: 875: 872: 870: 867: 864: 860: 858: 855: 853: 850: 848: 845: 843: 840: 838: 835: 833: 830: 828: 825: 824: 821: 816: 813: 811: 808: 806: 805:Domino tiling 803: 801: 798: 796: 793: 791: 788: 786: 783: 781: 778: 776: 773: 771: 768: 767: 764: 759: 756: 754: 751: 749: 746: 744: 741: 739: 736: 734: 731: 729: 726: 724: 721: 719: 716: 714: 711: 709: 706: 704: 701: 699: 696: 694: 691: 689: 686: 684: 681: 680: 677: 672: 669: 667: 664: 662: 659: 657: 654: 652: 649: 647: 644: 642: 639: 637: 634: 632: 629: 627: 624: 621: 617: 615: 612: 610: 607: 605: 602: 600: 597: 595: 592: 590: 587: 586: 583: 578: 575: 573: 570: 568: 565: 563: 560: 558: 555: 553: 550: 548: 545: 543: 540: 539: 536: 531: 530:1/N expansion 528: 527: 524: 518: 514: 513: 511: 506: 502: 500: 493: 479: 474: 473: 470: 459: 454: 446: 441: 433: 429: 424: 423: 420: 409: 404: 396: 391: 390: 387: 376: 371: 363: 359: 354: 346: 341: 340: 337: 326: 322: 317: 316: 313: 305:(21 C, 108 P) 302: 298: 293: 292: 289: 278: 274: 269: 268: 265: 254: 250: 245: 244: 241: 230: 225: 217: 212: 204: 199: 191: 187: 182: 174: 169: 168: 166: 162: 158:Subcategories 157: 148: 145: 142: 139: 136: 133: 130: 127: 124: 121: 118: 115: 112: 109: 106: 103: 100: 97: 94: 91: 88: 85: 82: 79: 76: 73: 70: 68: 65: 63: 60: 59: 50: 47: 43: 39: 35: 31: 25: 24: 19: 1243:KTHNY theory 1062:Hard spheres 970:Gas in a box 965:Gas constant 943:Frenkel line 827:Econophysics 547:Airy process 496: 366:(5 C, 127 P) 160: 38:mathematical 29: 28: 21: 1545:Potts model 1238:KT (energy) 1129:Ising model 1020:Granularity 1010:Gibbs state 738:Coulomb gas 733:Coulomb gap 557:ANNNI model 436:(1 C, 22 P) 432:Spin models 329:(3 C, 52 P) 281:(1 C, 42 P) 257:(4 C, 39 P) 194:(5 C, 11 P) 1672:Categories 1555:Primon gas 1520:Photon gas 552:AKLT model 1663:next page 1377:Metastate 1203:KMS state 505:next page 55:Contents 42:Mechanics 1158:Kac ring 609:BIO-LGCA 18:category 482:(61 P) 462:(16 P) 412:(41 P) 399:(20 P) 379:(18 P) 349:(13 P) 233:(14 P) 177:(18 P) 449:(2 P) 301:Gases 220:(7 P) 207:(6 P) 525:0–9 67:0–9 62:Top 20:is 1674:: 1665:) 501:. 480:‎ 460:‎ 447:‎ 434:‎ 410:‎ 397:‎ 377:‎ 364:‎ 347:‎ 327:‎ 303:‎ 279:‎ 255:‎ 231:‎ 218:‎ 205:‎ 192:‎ 175:‎ 1619:R 1562:Q 1485:P 1463:O 1419:N 1317:M 1250:L 1153:K 1136:J 1104:I 1042:H 960:G 898:F 822:E 765:D 678:C 584:B 537:A 507:) 471:Σ 421:S 388:R 338:P 314:L 290:G 266:E 242:C 147:Z 144:Y 141:X 138:W 135:V 132:U 129:T 126:S 123:R 120:Q 117:P 114:O 111:N 108:M 105:L 102:K 99:J 96:I 93:H 90:G 87:F 84:E 81:D 78:C 75:B 72:A 26:.

Index

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Statistical mechanics
probability theory
mathematical
Mechanics
thermodynamics
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