Heat capacity of the restricted primitive model near criticality

Journal of Chemical Physics

Volumn 108, Issue 13, 1998, Pages 5169-5172

  Valleau, John ^a   Torrie, Glenn ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b ROYAL MILITARY COLLEGE OF CANADA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001377541     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.475954     Document Type: Article

References (25)

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2. M. E. Fisher, J. Phys.: Condens. Matter 8, 9103 (1996); J. Stat. Phys. 75, 1 (1994); G. Stell, ibid. 78, 197 (1995); J. M. H. Levelt-Sengers and J. A. Given, Mol. Phys. 80, 899 (1993). These reviews contain references to experimental and theoretical papers.
3. M. E. Fisher, J. Phys.: Condens. Matter 8, 9103 (1996); J. Stat. Phys. 75, 1 (1994); G. Stell, ibid. 78, 197 (1995); J. M. H. Levelt-Sengers and J. A. Given, Mol. Phys. 80, 899 (1993). These reviews contain references to experimental and theoretical papers.
4. M. E. Fisher, J. Phys.: Condens. Matter 8, 9103 (1996); J. Stat. Phys. 75, 1 (1994); G. Stell, ibid. 78, 197 (1995); J. M. H. Levelt-Sengers and J. A. Given, Mol. Phys. 80, 899 (1993). These reviews contain references to experimental and theoretical papers.
5. R. R. Singh and K. S. Pitzer, J. Chem. Phys. 92, 6775 (1990); K. C. Zhang, M. E. Briggs, R. W. Gammon, and J. M. H. Levelt-Sengers, ibid. 97, 8692 (1992); P. Chieux and M. J. Sienko, ibid. 53, 566 (1970); H. Weingartner, ibid. 96, 848 (1992); T. Narayanan and K. S. Pitzer, ibid. 102, 8118 (1995).
6. R. R. Singh and K. S. Pitzer, J. Chem. Phys. 92, 6775 (1990); K. C. Zhang, M. E. Briggs, R. W. Gammon, and J. M. H. Levelt-Sengers, ibid. 97, 8692 (1992); P. Chieux and M. J. Sienko, ibid. 53, 566 (1970); H. Weingartner, ibid. 96, 848 (1992); T. Narayanan and K. S. Pitzer, ibid. 102, 8118 (1995).
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8. R. R. Singh and K. S. Pitzer, J. Chem. Phys. 92, 6775 (1990); K. C. Zhang, M. E. Briggs, R. W. Gammon, and J. M. H. Levelt-Sengers, ibid. 97, 8692 (1992); P. Chieux and M. J. Sienko, ibid. 53, 566 (1970); H. Weingartner, ibid. 96, 848 (1992); T. Narayanan and K. S. Pitzer, ibid. 102, 8118 (1995).
9. R. R. Singh and K. S. Pitzer, J. Chem. Phys. 92, 6775 (1990); K. C. Zhang, M. E. Briggs, R. W. Gammon, and J. M. H. Levelt-Sengers, ibid. 97, 8692 (1992); P. Chieux and M. J. Sienko, ibid. 53, 566 (1970); H. Weingartner, ibid. 96, 848 (1992); T. Narayanan and K. S. Pitzer, ibid. 102, 8118 (1995).
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11. G. Stell, Phys. Rev. B 1, 2265 (1970); M. E. Fisher, S.-K. Ma, and B. G. Nickel, Phys. Rev. Lett. 29, 917 (1972); R. F. Kayser and H. J. Raveché, Phys. Rev. A 29, 1013 (1983).
12. G. Stell, Phys. Rev. B 1, 2265 (1970); M. E. Fisher, S.-K. Ma, and B. G. Nickel, Phys. Rev. Lett. 29, 917 (1972); R. F. Kayser and H. J. Raveché, Phys. Rev. A 29, 1013 (1983).
13. J. P. Valleau, J. Chem. Phys. 95, 584 (1991); I. S. Graham and J. P. Valleau, ibid. 94, 7894 (1990). These works examined the RPM phase transition under the "minimum image" approximation, and found a critical temperature about 40% higher than that observed using the Ewald approximation! The large magnitude of the shift is perhaps surprising, given the low density.
14. J. P. Valleau, J. Chem. Phys. 95, 584 (1991); I. S. Graham and J. P. Valleau, ibid. 94, 7894 (1990). These works examined the RPM phase transition under the "minimum image" approximation, and found a critical temperature about 40% higher than that observed using the Ewald approximation! The large magnitude of the shift is perhaps surprising, given the low density.
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16. Some discussion of this appears in an article by J. P. Valleau, J. Chem. Phys., (in press).
17. J. M. Casillol, D. Levesque, and J. J. Weis, J. Chem. Phys. 107, 1565 (1997); a preview by the same authors appeared as Phys. Rev. Lett. 19, 4039 (1996).
18. J. M. Casillol, D. Levesque, and J. J. Weis, J. Chem. Phys. 107, 1565 (1997); a preview by the same authors appeared as Phys. Rev. Lett. 19, 4039 (1996).
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20. A general review of such methods will appear in Advances in Chemical Physics: Monte Carlo Methods in Chemical Physics, edited by D. Ferguson, J. I. Siepmann, and D. Truhlar, presumably later this year. See also: J. P. Valleau, J. Comput. Phys. 96, 193 (1991); N. V. Brilliantov and J. P. Valleau, J. Chem. Phys. (in press).
21. A general review of such methods will appear in Advances in Chemical Physics: Monte Carlo Methods in Chemical Physics, edited by D. Ferguson, J. I. Siepmann, and D. Truhlar, presumably later this year. See also: J. P. Valleau, J. Comput. Phys. 96, 193 (1991); N. V. Brilliantov and J. P. Valleau, J. Chem. Phys. (in press).
22. A general review of such methods will appear in Advances in Chemical Physics: Monte Carlo Methods in Chemical Physics, edited by D. Ferguson, J. I. Siepmann, and D. Truhlar, presumably later this year. See also: J. P. Valleau, J. Comput. Phys. 96, 193 (1991); N. V. Brilliantov and J. P. Valleau, J. Chem. Phys. (in press).
23. The fitting function had a "double-Padé form. That is, it was the ratio of double polynomials in √T* and √p*. Each polynomial ranged up to fifth order in the former and sixth order in the latter (up to 60 adjustable parameters); over a decent range of these orders the fits are excellent, and are insensitive to the order. Data for free energy at several hundred states was fitted. [While this funcitonal form could not actually give a true Ising divergence for an infinite system, it is expected to be sufficiently flexible to reproduce well the behavior of a finite system, and does so for other small systems we have studied (Ref. 9).]
24. c quite close to that estimated by Caillol et al., but that may be accidental.)
25. M. E. Fisher and B. P. Lee, Phys. Rev. Lett. 77, 3561 (1996).