Entropy, correlations, and ordering in two dimensions

Journal of Chemical Physics

Volumn 113, Issue 7, 2000, Pages 2806-2813

  Saija, F ^a   Prestipino, S ^a,b   Giaquinta, P V ^a,c  

^a SISSA   (Italy)

^b UNIVERSITY OF MESSINA   (Italy)

^c Istituto Nazionale per la Fisica   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; ENTROPY; FREEZING; MONTE CARLO METHODS; STATISTICAL MECHANICS;

RESIDUAL MULTIPARTICLE ENTROPY (RMPE);

HIGH ENERGY PHYSICS;

EID: 0034245616     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1305887     Document Type: Article

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42. A comparison between the correlation regimes of hard spheres and soft spherical particles, studied by their Lyapunov exponents, can be found in I. Borzsak, A. Baranyai, and H. A. Posch. Physica A 229, 93 (1996). A similar analysis was performed for hard discs by Ch. Dellago, H. A. Posch, and W. G. Hoover, Phys. Rev. E 53, 1485 (1996).
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47. A. H. Narten and H. A. Levy, J. Chem. Phys. 55, 2263 (1971).
48. R. E. Nettleton and M. S. Green, J. Chem. Phys. 29, 1365 (1958).
49. P. V. Giaquinta and G. Giunta, Physica A 187, 145 (1992).
50. P. V. Giaquinta, G. Giunta, and S. Prestipino Giarritta, Phys. Rev. A,45, R6966 (1992).
51. C. Caccamo, P. V. Giaquinta, and G. Giunta, J. Phys.: Condens. Matter 5, B75 (1993).
52. A. Cheng, M. L. Klein, and C. Caccamo, Phys. Rev. Lett. 71, 1200 (1993).
53. E. Lomba, J. L. Lopez-Martin, H. M. Cataldo, and C. F. Tejero, Phys. Rev. E 49, 5164 (1994).
54. E. Lomba and N. E. Almarza, J. Chem. Phys. 100, 8367 (1994).
55. P. V. Giaquinta, G. Giunta, and G. Malescio, Physica A 250, 91 (1998).
56. F. Saija, P. V. Giaquinta, G. Giunta, and S. Prestipino Giarritta, J. Phys.: Condens. Matter 6, 9853 (1994).
57. F. Saija and P. V. Giaquinta, J. Phys.: Condens. Matter 8, 8137 (1996).
58. F. Saija, G. Pastore, and P. V. Giaquinta, J. Phys. Chem. 102, 10368 (1998).
59. C. Caccamo, D. Costa, and G. Pellicane, J. Chem. Phys. 109, 4498 (1998).
60. D. Costa, F. Saija, and P. V. Giaquinta, Chem. Phys. Lett. 282, 86 (1998);
61. D. Costa, F. Saija, and P. V. Giaquinta, Chem. Phys. Lett. 299, 252 (1999).
62. D. Costa, F. Micali, F. Saija, and P. V. Giaquinta (unpublished).
63. S. Prestipino and P. V. Giaquinta, J. Stat. Phys. 96, 135 (1999);
64. S. Prestipino and P. V. Giaquinta, J. Stat. Phys. 98, 507 (2000).
65. M. G. Donato, S. Prestipino, and P. V. Giaquinta, Eur. Phys. J. B 11, 621 (1999).
66. F. A. Lindemann, Phys. Z. 11, 609 (1910).
67. J.-P. Hansen and L. Verlet, Phys. Rev. 184, 151 (1969).
68. H. R. Wendt and F. F. Abraham, Phys. Rev. Lett. 41, 1244 (1978).
69. H. Lowen, T. Palberg, and R. Simon, Phys. Rev. Lett. 70, 1557 (1993).
70. G. Malescio, P. V. Giaquinta, and Y. Rosenfeld, Phys. Rev. E 57, R3723 (1998);
71. G. Malescio, P. V. Giaquinta, and Y. Rosenfeld, Phys. Rev. E 61, 4090 (2000).
72. N. D. Mermin, Phys. Rev. 176, 250 (1968).
73. Y. Rosenfeld, Phys. Rev. A 24, 2805 (1981).
74. S. Ranganathan and K. N. Pathak, Phys. Rev. A 45, 5789 (1992).
75. H. Lowen, Phys. Rev. E 53, R29 (1996).
76. T. M. Truskett, S. Torquato, S. Sastry, P. G. Debenedetti, and P. H. Stillinger, Phys. Rev. E 58, 3083 (1998).
77. K. J. Strandburg, Rev. Mod. Phys. 60, 161 (1988).
78. J. M. Kosterlitz and J. D. Thouless, J. Phys. C 6, 1181 (1973);
79. B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. 41, 121 (1978);
80. D. R. Nelson and B. I. Halperin, Phys. Rev. B 19, 2457 (1979);
81. A. P. Young, Phys. Rev. B ibid. 19, 1855 (1979).
82. K. Chen, T. Kaplan, and M. Mostoler, Phys. Rev. Lett. 74, 4019 (1995).
83. A. Jaster, Phys. Rev. E 59, 2594 (1999).
84. J. A. Barker, D. Henderson, and F. F. Abraham, Physica A 106, 226 (1981).
85. M. R. Reddy and S. F. O'Shea, Can. J. Phys. 64, 677 (1986).
86. S. Prestipino Giarritta, Ph.D. thesis, University of Messina, 1992.
87. S. Prestipino Giarritta, M. Ferrario, and P. V. Giaquinta, Physica A 187, 456 (1992).
88. S. Prestipino Giarritta, M. Ferrario, and P. V. Giaquinta, Physica A 201, 649 (1993).
89. A comparison between the correlation regimes of hard spheres and soft spherical particles, studied by their Lyapunov exponents, can be found in I. Borzsak, A. Baranyai, and H. A. Posch, Physica A 229, 93 (1996).
90. A similar analysis was performed for hard discs by Ch. Dellago, H. A. Posch, and W. G. Hoover, Phys. Rev. E 53, 1485 (1996).
91. J. D. Bernal, Nature (London) 183, 141 (1959).
92. G. Fiumara and P. V. Giaquinta, J. Phys. A 27, 4351 (1994).
93. J.-S. Wang, Int. J. Mod. Phys. C 5, 707 (1994).
94. A. H. Narten and H. A. Levy, J. Chem. Phys. 55, 2263 (1971).