Monte Carlo simualtions of the hard square-triangle fluid close to melting
Tretiakov Konstantin V., Wojciechowski Krzysztof W.
Institute of Molecular Physics, Polish Academy of Sciences
Smoluchowskiego 17/19, 60-179 Poznań, Poland
kww@man.poznan.pl
DOI: 10.12921/cmst.1997.03.01.63-72
OAI: oai:lib.psnc.pl:483
Abstract:
The system of hard squares and triangles of equal sides, for which the free volume approximation predicts entropic phase separation in the solid phase, is studied in the dense fluid region, close to melting. The standard Monte Carlo simulations are inconclusive concerning the possibility of the phase separation in the dense fluid. By applying correlated motions of the particles, we present a direct evidence that, in contrast to the dense solid phase, the squares and triangles mix in the fluid phase.
References:
[1] T. Biben and J.-P. Hansen, Phys. Rev. Lett. 66, 2215 (1991).
[2] R. van Roij and B. Mulder, J. Phys. II France 4, 1763 (1994).
[3] S. Asakura and F. Oosawa, J. Chem. Phys. 22, 1255 (1954).
[4] W. G. Hoover, W. T. Ashurst, and R. Grover, J. Chem. Phys. 57, 1259 (1972);
W. G. Hoover, N. E. Hoover, and K. Henson, J. Chem. Phys. 70, 1837 (1979).
[5] K. W. Wojciechowski, Physica A232, 723 (1996).
[6] R. Collins, Proc. Phys. Soc. 83, 553 (1964). Generalization of the model
proposed by Collins is discussed by M. A. Glaser and N. A. Clark, Adv. Chem. Phys.
Vol. LXXXIII, 543 (1993).
[7] H. Kawamura, Prog. Theor. Phys. 61, 1584 (1979).
[8] H. Kawamura, Prog. Theor. Phys. 70, 352 (1983); Physica A177, 73 (1991).
[9] M. Widom, Phys. Rev. Lett. 70, 2094 (1993).
[10] P. A. Kalugin, J. Phys. A27, 3599 (1994).
[11] K. W. Wojciechowski and D. Frenkel, unpublished.
[12] K. W. Wojciechowski, unpublished.
The system of hard squares and triangles of equal sides, for which the free volume approximation predicts entropic phase separation in the solid phase, is studied in the dense fluid region, close to melting. The standard Monte Carlo simulations are inconclusive concerning the possibility of the phase separation in the dense fluid. By applying correlated motions of the particles, we present a direct evidence that, in contrast to the dense solid phase, the squares and triangles mix in the fluid phase.
[1] T. Biben and J.-P. Hansen, Phys. Rev. Lett. 66, 2215 (1991).
[2] R. van Roij and B. Mulder, J. Phys. II France 4, 1763 (1994).
[3] S. Asakura and F. Oosawa, J. Chem. Phys. 22, 1255 (1954).
[4] W. G. Hoover, W. T. Ashurst, and R. Grover, J. Chem. Phys. 57, 1259 (1972);
W. G. Hoover, N. E. Hoover, and K. Henson, J. Chem. Phys. 70, 1837 (1979).
[5] K. W. Wojciechowski, Physica A232, 723 (1996).
[6] R. Collins, Proc. Phys. Soc. 83, 553 (1964). Generalization of the model
proposed by Collins is discussed by M. A. Glaser and N. A. Clark, Adv. Chem. Phys.
Vol. LXXXIII, 543 (1993).
[7] H. Kawamura, Prog. Theor. Phys. 61, 1584 (1979).
[8] H. Kawamura, Prog. Theor. Phys. 70, 352 (1983); Physica A177, 73 (1991).
[9] M. Widom, Phys. Rev. Lett. 70, 2094 (1993).
[10] P. A. Kalugin, J. Phys. A27, 3599 (1994).
[11] K. W. Wojciechowski and D. Frenkel, unpublished.
[12] K. W. Wojciechowski, unpublished.
