Phase diagram and structural properties of a simple model for one-patch particles
J. Chem. Phys. 131, 174114 (2009); doi:10.1063/1.3256002
Published 6 November 2009
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We study the thermodynamic and structural properties of a simple, one-patch fluid model using the reference hypernetted-chain (RHNC) integral equation and specialized Monte Carlo simulations. In this model, the interacting particles are hard spheres, each of which carries a single identical, arbitrarily oriented and attractive circular patch on its surface; two spheres attract via a simple square-well potential only if the two patches on the spheres face each other within a specific angular range dictated by the size of the patch. For a ratio of attractive to repulsive surface of 0.8, we construct the RHNC fluid-fluid separation curve and compare with that obtained by Gibbs ensemble and grand canonical Monte Carlo simulations. We find that RHNC provides a quick and highly reliable estimate for the position of the fluid-fluid critical line. In addition, it gives a detailed (though approximate) description of all structural properties and their dependence on patch size.
©2009 American Institute of Physics
| History: | Received 29 May 2009; accepted 6 October 2009; published 6 November 2009 |
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http://link.aip.org/link/?JCPSA6/131/174114/1 |
KEYWORDS and PACS
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (47)
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- M. S. Wertheim,
J. Stat. Phys. 35, 19 (1984) . - I. Nezbeda,
Mol. Phys. 103, 59 (2005) . - C. M. Carlevaro, L. Blum, and F. Vericat, J. Chem. Phys. 119, 5198 (2003).
- E. Vakarin, Y. Duda, and M. F. Holovko,
Mol. Phys. 90, 611 (1997) . - J. Jirsák and I. Nezbeda, J. Chem. Phys. 127, 124508 (2007).
- S. C. Glotzer and M. J. Solomon,
Nature Mater. 6, 557 (2007) . - A. Lomakin, N. Asherie, and G. B. Benedek,
Proc. Natl. Acad. Sci. U.S.A. 96, 9465 (1999) . - J. J. McManus, A. Lomakin, O. Ogun, A. Pande, M. Basan, J. Pande, and G. B. Benedek,
Proc. Natl. Acad. Sci. U.S.A. 104, 16856 (2007) . - H. Liu, S. K. Kumar, and F. Sciortino, J. Chem. Phys. 127, 084902 (2007).
- G. Pellicane, G. Smith, and L. Sarkisov, Phys. Rev. Lett. 101, 248102 (2008).
- P. I. C. Teixeira, J. M. Tavares, and M. M. Telo da Gama,
J. Phys.: Condens. Matter 12, R411 (2000) . - M. A. Horsch, Z. Zhang, and S. C. Glotzer, Phys. Rev. Lett. 95, 056105 (2005).
- E. Bianchi, J. Largo, P. Tartaglia, E. Zaccarelli, and F. Sciortino, Phys. Rev. Lett. 97, 168301 (2006).
- G. Foffi and F. Sciortino,
J. Phys. Chem. B 111, 9702 (2007) . - E. Bianchi, P. Tartaglia, E. La Nave, and F. Sciortino,
J. Phys. Chem. B 111, 11765 (2007) . - R. Fantoni, D. Gazzillo, A. Giacometti, M. A. Miller, and G. Pastore, J. Chem. Phys. 127, 234507 (2007).
- N. Kern and D. Frenkel, J. Chem. Phys. 118, 9882 (2003).
- W. G. Chapman, G. Jackson, and K. E. Gubbins,
Mol. Phys. 65, 1057 (1988) . - F. Lado, Phys. Rev. A 8, 2548 (1973).
- F. Lado,
Mol. Phys. 47, 283 (1982) . - F. Lado,
Mol. Phys. 47, 299 (1982) . - C. Gögelein, G. Nägele, R. Tuinier, T. Gibaud, A. Stradner, and P. Schurtenberger, J. Chem. Phys. 129, 085102 (2008).
- J. Kolafa and I. Nezbeda,
Mol. Phys. 61, 161 (1987) . - C. De Michele, P. Tartaglia, and F. Sciortino, J. Chem. Phys. 125, 204710 (2006).
- C. De Michele, S. Gabrielli, P. Tartaglia, and F. Sciortino,
J. Phys. Chem. B 110, 8064 (2006) . - J. Russo, P. Tartaglia, and F. Sciortino, J. Chem. Phys. 131, 014504 (2009).
- Y. Rosenfeld and N. W. Ashcroft, Phys. Rev. A 20, 1208 (1979).
- Rosenfeld and Ashcroft note that
0 could be determined by requiring consistency between the virial and compressibility equations of state but do not implement this route in Ref. 27. - F. Lado, Phys. Lett. 89A, 196 (1982).
- K. Hiroike,
J. Phys. Soc. Jpn. 12, 326 (1957) . - F. Lado, E. Lomba, and M. Lombardero, J. Chem. Phys. 103, 481 (1995).
- M. Lombardero, C. Martín, S. Jorge, F. Lado, and E. Lomba, J. Chem. Phys. 110, 1148 (1999).
- C. G. Gray and K. E. Gubbins, Theory of Molecular Fluids: Fundamentals (Clarendon, Oxford, 1984), Vol. 1.
- T. Morita and K. Hiroike,
Prog. Theor. Phys. 23, 1003 (1960) . - B. Smith and D. Frenkel, Understanding Molecular Simulation: From Algorithms to Applications (Academic, San Diego, 2002).
- N. B. Wilding,
J. Phys.: Condens. Matter 9, 585 (1997) . - J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, New York, 1986).
- A. Giacometti, G. Pastore, and F. Lado,
Mol. Phys. 107, 555 (2009) . - L. Verlet and J. J. Weis,
Phys. Rev. A 5, 939 (1972) . - D. Henderson and E. W. Grundke, J. Chem. Phys. 63, 601 (1975).
- A. G. Schlijper, M. M. Telo da Gama, and P. G. Ferreira, J. Chem. Phys. 98, 1534 (1993).
- I. Charpentier and N. Jakse, J. Chem. Phys. 123, 204910 (2005).
- E. B. El Mendoub, J. F. Wax, I. Charpentier, and N. Jakse,
Mol. Phys. 106, 2667 (2008) . - L. Belloni, J. Chem. Phys. 98, 8080 (1993).
- J. Dudowicz, K. F. Freed, and J. F. Douglas, Phys. Rev. Lett. 92, 045502 (2004).
- K. Van Workum and J. F. Douglas, Phys. Rev. E 71, 031502 (2005).
- J. M. Tavares, P. I. C. Teixeira, and M. M. Telo da Gama,
Mol. Phys. 107, 453 (2009) .








