journal article·2002-08

Free-Energy Calculations in Materials Research

J. M. Rickman, R. LeSar

Publisher page

Abstract

▪ Abstract Various methods for calculating the free energies of fluids, solids, and discrete spin systems are reviewed with particular emphasis on applications relevant in materials science. First, traditional methodologies based on harmonic approximations and thermodynamic integration are examined to highlight the workings of these very useful and robust techniques. Several newer and more specialized strategies are then discussed to provide a snapshot of current practices. Our aim here is to compare and contrast several related techniques and to provide an assessment of their relative strengths.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Advanced Thermodynamics and Statistical Mechanics · Phase Equilibria and Thermodynamics · Material Dynamics and Properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Materials Science and Engineering, Lehigh University, Bethlehem, Pennsylvania 18015;

Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545;

References (100+)

Show source-provided references
1. Frenkel D. 1991. InComputer Simulation in Materials Science, ed. M Meyer, V Pontikis, p. 85. Dordrecht: Kluwer.560 pp.
2. McQuarrie DA · 1976
3. Frenkel D, Smit B. 1996. Understanding Molecular Simulation: From Algorithms to Applications, San Diego. CA: Academic. 443 pp.
4. Leach AR · 2001
5. Allen MP · 1987
6. Landau DP, Binder K. 2000. A Guide to Monte Carlo Simulations in Statistical Physics, Cambridge, UK: Cambridge Univ. Press. 384 pp.
7. 10.1063/1.32869310.1063/1.328693 ↗
8. Frenkel D. 1986. InMolecular Dynamics Simulation of Statistical-Mechanical Systems, ed. G Ciccotti, WG Hoover, pp. 151–88. Amsterdam: North-Holland.610 pp.
9. Aschcroft NW, Mermin ND. 1976. Solid State Physics, New York: Holt, Rinehart & Winston. 826 pp.
10. 10.1119/1.198704610.1119/1.1987046 ↗
11. The classical result is
12. 10.1023/A:101078300057010.1023/A:1010783000570 ↗
13. 10.1016/S0010-4655(98)00018-610.1016/S0010-4655(98)00018-6 ↗
14. 10.1063/1.47477410.1063/1.474774 ↗
15. 10.1103/PhysRevB.59.403610.1103/PhysRevB.59.4036 ↗
16. 10.1103/PhysRevB.59.35310.1103/PhysRevB.59.353 ↗
17. 10.1103/PhysRevB.61.879310.1103/PhysRevB.61.8793 ↗
18. 10.1103/PhysRevB.62.1475010.1103/PhysRevB.62.14750 ↗
19. 10.1103/PhysRevB.59.674210.1103/PhysRevB.59.6742 ↗
20. 10.1103/PhysRevB.63.09420310.1103/PhysRevB.63.094203 ↗
21. 10.1103/PhysRevB.61.1505110.1103/PhysRevB.61.15051 ↗
22. 10.1103/PhysRevB.51.352010.1103/PhysRevB.51.3520 ↗
23. 10.1103/PhysRevB.51.353510.1103/PhysRevB.51.3535 ↗
24. 10.1103/PhysRevB.56.1438010.1103/PhysRevB.56.14380 ↗
25. 10.1021/jp980396p10.1021/jp980396p ↗
26. 10.1016/0022-3093(94)00469-210.1016/0022-3093(94)00469-2 ↗
27. 10.1103/PhysRevLett.86.207410.1103/PhysRevLett.86.2074 ↗
28. 10.1103/PhysRevB.60.505510.1103/PhysRevB.60.5055 ↗
29. 10.1103/PhysRevB.61.1453110.1103/PhysRevB.61.14531 ↗
30. 10.1088/0953-8984/12/42/30210.1088/0953-8984/12/42/302 ↗
31. 10.1103/PhysRevB.59.855110.1103/PhysRevB.59.8551 ↗
32. 10.1103/PhysRevB.62.1478410.1103/PhysRevB.62.14784 ↗
33. 10.1007/BF0218334110.1007/BF02183341 ↗
34. 10.1103/PhysRevB.47.1556210.1103/PhysRevB.47.15562 ↗
35. 10.1080/0141861011004314510.1080/01418610110043145 ↗
36. 10.1103/PhysRevB.49.1493010.1103/PhysRevB.49.14930 ↗
37. 10.1103/PhysRevB.52.922910.1103/PhysRevB.52.9229 ↗
38. 10.1103/PhysRevB.61.1447010.1103/PhysRevB.61.14470 ↗
39. 10.1103/PhysRevLett.63.62410.1103/PhysRevLett.63.624 ↗
40. 10.1080/0141861890821927810.1080/01418618908219278 ↗
41. 10.1098/rsta.1992.009710.1098/rsta.1992.0097 ↗
42. 10.1080/0141861930822475910.1080/01418619308224759 ↗
43. 10.1016/0009-2614(96)01042-110.1016/0009-2614(96)01042-1 ↗
44. 10.1039/a805530k10.1039/a805530k ↗
45. 10.1016/0956-7151(91)90040-810.1016/0956-7151(91)90040-8 ↗
46. 10.1080/0141861920820154110.1080/01418619208201541 ↗
47. 10.1361/10549719877034167110.1361/105497198770341671 ↗
48. 10.1016/S1359-6454(00)00059-810.1016/S1359-6454(00)00059-8 ↗
49. 10.1088/0953-8984/4/21/00810.1088/0953-8984/4/21/008 ↗
50. 10.1080/1364281960823914010.1080/13642819608239140 ↗
51. 10.1002/pssb.222194020610.1002/pssb.2221940206 ↗
52. 10.1063/1.46054710.1063/1.460547 ↗
53. 10.1063/1.47940910.1063/1.479409 ↗
54. 10.1016/0016-7037(94)90265-810.1016/0016-7037(94)90265-8 ↗
55. 10.1007/s00269005009610.1007/s002690050096 ↗
56. 10.1103/PhysRevB.49.310910.1103/PhysRevB.49.3109 ↗
57. 10.1103/PhysRevLett.84.363810.1103/PhysRevLett.84.3638 ↗
58. 10.1063/1.174965710.1063/1.1749657 ↗
59. 10.1063/1.44563310.1063/1.445633 ↗
60. 10.1063/1.44802410.1063/1.448024 ↗
61. 10.1063/1.129070110.1063/1.1290701 ↗
62. 10.1063/1.43037910.1063/1.430379 ↗
63. 10.1080/0026897930010041110.1080/00268979300100411 ↗
64. 10.1007/BF0266580210.1007/BF02665802 ↗
65. 10.1088/0965-0393/3/3/00510.1088/0965-0393/3/3/005 ↗
66. 10.1063/1.45819310.1063/1.458193 ↗
67. 10.1063/1.48110210.1063/1.481102 ↗
68. 10.1088/0965-0393/8/3/31410.1088/0965-0393/8/3/314 ↗
69. 10.1007/BF0101316910.1007/BF01013169 ↗
70. 10.1103/PhysRevLett.65.330110.1103/PhysRevLett.65.3301 ↗
71. 10.1103/PhysRevLett.61.263510.1103/PhysRevLett.61.2635 ↗
72. 10.1103/PhysRevLett.63.119510.1103/PhysRevLett.63.1195 ↗
73. 10.1142/007310.1142/0073 ↗
74. 10.1103/PhysRevB.24.398410.1103/PhysRevB.24.3984 ↗
75. 10.1063/1.46567510.1063/1.465675 ↗
76. Landau LD, Lifshitz EM. 1980. Statistical Physics 3rd Ed.: Part 1. Oxford, UK: Pergamon. 544 pp.10.1016/B978-0-08-057046-4.50008-7 ↗
77. 10.1103/PhysRevE.53.46510.1103/PhysRevE.53.465 ↗
78. 10.1063/1.46767010.1063/1.467670 ↗
79. 10.1103/PhysRevLett.79.248210.1103/PhysRevLett.79.2482 ↗
80. 10.1103/PhysRevB.57.86210.1103/PhysRevB.57.862 ↗
81. 10.1103/PhysRevB.58.1255510.1103/PhysRevB.58.12555 ↗
82. 10.1103/PhysRevB.55.73510.1103/PhysRevB.55.735 ↗
83. 10.1103/PhysRevLett.83.397310.1103/PhysRevLett.83.3973 ↗
84. 10.1109/5992.84180210.1109/5992.841802 ↗
85. 10.1063/1.135355210.1063/1.1353552 ↗
86. 10.1016/0009-2614(74)80109-010.1016/0009-2614(74)80109-0 ↗
87. 10.1016/0021-9991(77)90121-810.1016/0021-9991(77)90121-8 ↗
88. 10.1063/1.47879110.1063/1.478791 ↗
89. 10.1016/S0010-4655(00)00215-010.1016/S0010-4655(00)00215-0 ↗
90. 10.1007/s00214005040710.1007/s002140050407 ↗
91. 10.1146/annurev.physchem.52.1.49910.1146/annurev.physchem.52.1.499 ↗
92. 10.1063/1.46280210.1063/1.462802 ↗
93. 10.1038/3505903510.1038/35059035 ↗
94. 10.1103/PhysRevLett.68.910.1103/PhysRevLett.68.9 ↗
95. 10.1103/PhysRevE.53.653010.1103/PhysRevE.53.6530 ↗
96. 10.1103/PhysRevE.59.439610.1103/PhysRevE.59.4396 ↗
97. 10.1002/1096-987X(200008)21:11<954::AID-JCC5>3.0.CO;2-410.1002/1096-987X(200008)21:11<954::AID-JCC5>3.0.CO;2-4 ↗
98. 10.1021/jp962142e10.1021/jp962142e ↗
99. 10.1023/A:101867902576310.1023/A:1018679025763 ↗
100. 10.1103/PhysRevE.54.586310.1103/PhysRevE.54.5863 ↗