Pressure-energy correlations in liquids. III. Statistical mechanics and thermodynamics of liquids with hidden scale invariance

Journal of Chemical Physics

Volumn 131, Issue 23, 2009, Pages

  Schrøder, Thomas B ^a   Bailey, Nicholas P ^a   Pedersen, Ulf R ^a   Gnan, Nicoletta ^a   Dyre, Jeppe C ^a  

^a ROSKILDE UNIVERSITY   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTANT VOLUMES; ENERGY CORRELATION; EQUILIBRIUM CONDITIONS; LARGE CLASS; LINEAR TERMS; MOLECULAR MODELS; POWER LAW POTENTIAL; POWER-LAW; SCALE INVARIANCE; SCALING PROPERTIES; STRONG CORRELATION; THERMAL EQUILIBRIUMS; VAN DER WAALS;

COMPUTATIONAL METHODS; COMPUTER SIMULATION; STATISTICAL MECHANICS; THERMODYNAMICS; VAN DER WAALS FORCES;

LIQUIDS;

EID: 73449113705     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3265955     Document Type: Article

References (55)

1. U. R. Pedersen, N. P. Bailey, T. B. Schrøder, and J. C. Dyre, Phys. Rev. Lett. 100, 015701 (2008). 10.1103/PhysRevLett.100.015701
2. U. R. Pedersen, T. Christensen, T. B. Schrøder, and J. C. Dyre, Phys. Rev. E 77, 011201 (2008). 10.1103/PhysRevE.77.011201
3. N. P. Bailey, T. Christensen, B. Jakobsen, K. Niss, N. B. Olsen, U. R. Pedersen, T. B. Schrøder, and J. C. Dyre, J. Phys.: Condens. Matter 20, 244113 (2008). 10.1088/0953-8984/20/24/244113 (Pubitemid 351777659)
4. N. P. Bailey, U. R. Pedersen, N. Gnan, T. B. Schrøder, and J. C. Dyre, J. Chem. Phys. 129, 184507 (2008) (Paper I). 10.1063/1.2982247
5. N. P. Bailey, U. R. Pedersen, N. Gnan, T. B. Schrøder, and J. C. Dyre, J. Chem. Phys. 129, 184508 (2008) (Paper II). 10.1063/1.2982249
6. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1987).
7. M. Dzugutov, Phys. Rev. A 46, R2984 (1992). 10.1103/PhysRevA.46.R2984
8. N. Gnan, T. B. Schrøder, U. R. Pedersen, N. P. Bailey, and J. C. Dyre, J. Chem. Phys. 131, 234504 (2009) (Paper IV).
9. E. D. Chisolm and D. C. Wallace, J. Phys.: Condens. Matter 13, R739 (2001). 10.1088/0953-8984/13/37/201 (Pubitemid 32962347)
10. G. Oster, A. Perelson, and A. Katchalsky, Nature (London) 234, 393 (1971). 10.1038/234393a0
11. O. Klein, Medd. Vetenskapsakad. Nobelinst. 5, 1 (1919).
12. T. H. Berlin and E. W. Montroll, J. Chem. Phys. 20, 75 (1952). 10.1063/1.1700200
13. W. G. Hoover, M. Ross, K. W. Johnson, D. Henderson, J. A. Barker, and B. C. Brown, J. Chem. Phys. 52, 4931 (1970). 10.1063/1.1672728
14. W. G. Hoover, S. G. Gray, and K. W. Johnson, J. Chem. Phys. 55, 1128 (1971). 10.1063/1.1676196
15. Y. Hiwatari, H. Matsuda, T. Ogawa, N. Ogita, and A. Ueda, Prog. Theor. Phys. 52, 1105 (1974). 10.1143/PTP.52.1105
16. D. Ben-Amotz and G. J. Stell, J. Chem. Phys. 119, 10777 (2003). 10.1063/1.1620995
17. C. DeMichele, F. Sciortino, and A. Coniglio, J. Phys.: Condens. Matter 16, L489 (2004). 10.1088/0953-8984/16/45/L01
18. P. E. Ramirez-Gonzalez and M. Medina-Noyola, J. Phys.: Condens. Matter 21, 075101 (2009). 10.1088/0953-8984/21/7/075101
19. S. M. Stishov, Sov. Phys. Usp. 17, 625 (1975). 10.1070/ PU1975v017n05ABEH004361
20. J. D. Weeks and J. Q. Broughton, J. Chem. Phys. 78, 4197 (1983). 10.1063/1.445097
21. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd ed. (Academic, New York, 1986).
22. T. B. Schrøder, U. R. Pedersen, and J. C. Dyre, e-print arXiv:0803.2199.
23. T. B. Schrøder, U. R. Pedersen, N. P. Bailey, S. Toxvaerd, and J. C. Dyre, Phys. Rev. E 80, 041502 (2009).
24. C. Alba-Simionesco, A. Cailliaux, A. Alegria, and G. Tarjus, Europhys. Lett. 68, 58 (2004). 10.1209/epl/i2004-10214-6 (Pubitemid 39375271)
25. C. M. Roland, S. Hensel-Bielowka, M. Paluch, and R. Casalini, Rep. Prog. Phys. 68, 1405 (2005). 10.1088/0034-4885/68/6/R03 (Pubitemid 40906221)
26. A. Grzybowski, M. Paluch, and K. Grzybowska, J. Phys. Chem. B 113, 7419 (2009). 10.1021/jp9010235
27. V. Molinero and E. B. Moore, J. Phys. Chem. B 113, 4008 (2009). 10.1021/jp805227c
28. E. A. Jagla, J. Chem. Phys. 111, 8980 (1999). 10.1063/1.480241
29. L. J. Lewis and G. Wahnström, Phys. Rev. E 50, 3865 (1994). 10.1103/PhysRevE.50.3865
30. H. J. C. Berendsen, J. R. Grigera, and T. P. Straatsma, J. Phys. Chem. 91, 6269 (1987). 10.1021/j100308a038
31. M. Goldstein, J. Chem. Phys. 51, 3728 (1969). 10.1063/1.1672587
32. F. H. Stillinger and T. A. Weber, Phys. Rev. A 28, 2408 (1983). 10.1103/PhysRevA.28.2408
33. F. H. Stillinger, Science 267, 1935 (1995). 10.1126/science.267.5206.1935
34. T. B. Schrøder, S. Sastry, J. C. Dyre, and S. C. Glotzer, J. Chem. Phys. 112, 9834 (2000). 10.1063/1.481621 (Pubitemid 30886635)
35. J. L. Lebowitz, J. K. Perkus, and L. Verlet, Phys. Rev. 153, 250 (1967). 10.1103/PhysRev.153.250
36. M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford University Press, Oxford U.K., 1954).
37. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Holt, Rinehart and Wiston, New York, 1976).
38. D. C. Wallace, Thermodynamics of Crystals (Dover, New York, 1972).
39. R. Casalini, U. Mohanty, and C. M. Roland, J. Chem. Phys. 125, 014505 (2006). 10.1063/1.2206582 (Pubitemid 44026446)
40. C. M. Roland, J. L. Feldman, and R. Casalini, J. Non-Cryst. Solids 352, 4895 (2006). 10.1016/j.jnoncrysol.2006.02.149 (Pubitemid 44647064)
41. C. M. Roland and R. Casalini, J. Phys.: Condens. Matter 19, 205118 (2007). 10.1088/0953-8984/19/20/205118 (Pubitemid 46653750)
42. H. Paynter, Analysis and Design of Engineering Systems (MIT, Cambridge, MA, 1961).
43. G. F. Oster, A. S. Perelson, and A. Katchalsky, Q. Rev. Biophys. 6, 1 (1973). 10.1017/S0033583500000081
44. P. V. Christiansen, Dynamik og Diagrammer (1978), IMFUFA Text No. 8, Roskilde.
45. P. V. Christiansen, Semiotik og Systemegenskaber (1979), IMFUFA Text No. 22, Roskilde.
46. D. C. Mikulecky, Applications of Network Thermodynamics to Problems in Biomedical Engineering (New York University, New York, 1993).
47. D. C. Karnopp, D. L. Margolis, and R. C. Rosenberg, System Dynamics: Modeling and Simulation of Mechatronic Systems (Wiley, New York, 2006).
48. N. L. Ellegaard, T. Christensen, P. V. Christiansen, N. B. Olsen, U. R. Pedersen, T. B. Schrøder, and J. C. Dyre, J. Chem. Phys. 126, 074502 (2007). 10.1063/1.2434963 (Pubitemid 46321412)
49. T. Christensen and J. C. Dyre, Phys. Rev. E 78, 021501 (2008). 10.1103/PhysRevE.78.021501
50. H. J. C. Berendsen, D. van der Spoel, and R. van Drunen, Comput. Phys. Commun. 91, 43 (1995). 10.1016/0010-4655(95)00042-E
51. E. Lindahl, B. Hess, and D. van der Spoel, J. Mol. Model. 7, 306 (2001).
52. S. Noś, Mol. Phys. 52, 255 (1984). 10.1080/00268978400101201
53. W. G. Hoover, Phys. Rev. A 31, 1695 (1985). 10.1103/PhysRevA.31.1695
54. B. Hess, H. Bekker, H. J. C. Berendsen, and J. G. E. M. Fraaije, J. Comput. Chem. 18, 1463 (1997). 10.1002/(SICI)1096-987X(199709)18:12<1463:: AID-JCC4>3.0.CO;2-H
55. D. Coslovich and C. M. Roland, J. Chem. Phys. 130, 014508 (2009). 10.1063/1.3054635