Waterlike anomalies for core-softened models of fluids: One dimension

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 6, 1999, Pages 6714-6721

  Sadr Lahijany, M Reza ^a   Scala, Antonio ^a   Buldyrev, Sergey V ^a   Stanley, H Eugene ^a  

^a Boston University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0000677458     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.6714     Document Type: Article

References (42)

1. P. G. Debenedetti, Metastable Liquids (Princeton University Press, Princeton, 1996).
2. O. Mishima and H.E. Stanley, Nature (London) 396, 329 (1998).
3. Y. Yoshimura, Ber. Bunsenges. Phys. Chem. 95, 135 (1991), and references therein.
4. P.C. Hemmer and G. Stell, Phys. Rev. Lett. 24, 1284 (1970)
5. G. Stell and P.C. Hemmer, J. Chem. Phys. 56, 4274 (1972)
6. J. Chem. Phys.J.M. Kincaid, G. Stell, and C.K. Hall, 65, 2161 (1976)
7. J. Chem. Phys.J.M. Kincaid, G. Stell, and E. Goldmark, 65, 2172 (1976)
8. J.M. Kincaid and G. Stell, Phys. Lett. 65A, 131 (1978)
9. C.K. Hall and G. Stell, Phys. Rev. A 7, 1679 (1973).
10. P.G. Debenedetti, V.S. Raghavan, and S.S. Borick, J. Phys. Chem. 95, 4540 (1991)
11. P.G. Debenedetti and M.C. Dantonio, AICHE J. 34, 447 (1988).
12. F.H. Stillinger and D.K. Stillinger, Physica A 244, 358 (1997)
13. F.H. Stillinger and T.A. Weber, J. Chem. Phys. 68, 3837 (1978)
14. J. Chem. Phys.F.H. StillingerT.A. Weber74, 4015 (1981).
15. K.K. Mon, N.W. Ashcroft, and G.V. Chester, Phys. Rev. B 19, 5103 (1979)
16. I. Yokoyama and S. Ono, J. Phys. F 15, 1215 (1985)
17. J. Phys. FK. Hoshino , 17, 787 (1987).
18. T. Head-Gordon and F.H. Stillinger, J. Chem. Phys. 98, 3313 (1993).
19. D.A. Young, J. Chem. Phys. 58, 1647 (1973).
20. M.R. Sadr-Lahijany, A. Scala, S.V. Buldyrev, and H.E. Stanley, Phys. Rev. Lett. 81, 4895 (1998).
21. A detailed description of the results for the 2D simulations that are the subject of 10 is provided in A. Scala, M. R. Sadr-Lahijany, N. Giovambattista, S. V. Buldyrev, and H. E. Stanley (unpublished).
22. With these values, the discrete potential has a form similar to the continuous version of the core-softened potential used in 2D 10. Nevertheless, the behavior we find holds for any range of these parameters, as long as (Formula presented) (Formula presented) and (Formula presented)
23. A. Ben-Naim, Statistical Thermodynamics for Chemists and Biochemists (Plenum Press, New York, 1992), pp. 233–238. See, especially, Fig. 44.9, p. 233.
24. C. H. Cho, S. Singh, and G. W. Robinson, Phys. Rev. Lett. 76, 1651 (1996), reproduced the density anomaly found by Ben-Naim 13.
25. M. Canpolat, F.W. Starr, A. Scala, M.R. Sadr-Lahijany, O. Mishima, S. Havlin, and H.E. Stanley, Chem. Phys. Lett. 294, 9 (1998);(unpublished).
26. H. Takahashi, Proc. Phys. Math. Soc. Jpn. 24, 60 (1942);reprinted in Mathematical Physics in One Dimension, edited by E. H. Lieb and D. C. Mattis (Academic, New York, 1966) pp. 25–34.
27. G.M. Bell and H. Sallouta, Mol. Phys. 29, 1621 (1975).
28. F. Sciortino, P.H. Poole, U. Essmann, and H.E. Stanley, Phys. Rev. E 55, 727 (1997).
29. S. Sastry, P. Debenedetti, F. Sciortino, and H.E. Stanley, Phys. Rev. E 53, 6144 (1996).
30. R.J. Speedy, J. Phys. Chem. 86, 982 (1982).
31. P.H. Poole, F. Sciortino, U. Essmann, and H.E. Stanley, Phys. Rev. E 48, 3799 (1993).
32. S.T. Harrington, R. Zhang, P.H. Poole, F. Sciortino, and H.E. Stanley, Phys. Rev. Lett. 78, 2409 (1997).
33. S. Harrington, P.H. Poole, F. Sciortino, and H.E. Stanley, J. Chem. Phys. 107, 7443 (1997).
34. For (Formula presented) this can be accompanied by an increase of the diffusion constant D. This anomalous increase in diffusion is observed both in simulations and in water 1026.
35. A (Formula presented) line meeting a critical point has been observed in simulations of confined water [M. Meyer and H.E. Stanley, J. Phys. Chem. 103, 9728 (1999)].
36. F.W. Starr, S. Harrington, F. Sciortino, and H.E. Stanley, Phys. Rev. Lett. 82, 3629 (1999)
37. F. W. Starr, F. Sciortino, and H. E. Stanley, Phys. Rev. E 60, 6757 (1999).
38. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, 1995).
39. P.H. Poole, F. Sciortino, U. Essmann, and H.E. Stanley, Nature (London) 360, 324 (1992)
40. P.H. PooleF. SciortinoU. EssmannH.E. StanleyPhys. Rev. E 48, 4605 (1993)
41. Phys. Rev. EO. Mishima and H.E. Stanley, 392, 164 (1998).
42. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, London, 1980).