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Critical exponents and universality for the isotropic-nematic phase transition in a system of self-assembled rigid rods on a lattice
Phys. Rev. E 80, 040105(R) – Published 22 October, 2009
DOI: https://doi.org/10.1103/PhysRevE.80.040105
Abstract
Monte Carlo simulations have been carried out for a system of monomers on square lattices that, by decreasing temperature or increasing density, polymerize reversibly into chains with two allowed directions and, at the same time, undergo a continuous isotropic-nematic (IN) transition. The results show that the self-assembly process affects the nature of the transition. Thus, the calculation of the critical exponents and the behavior of Binder cumulants indicate that the universality class of the IN transition changes from two-dimensional Ising-type for monodisperse rods without self-assembly to Potts-type for self-assembled rods.
Article Text
References (23)
- R. F. Service, Science 309, 95 (2005).
- L. Onsager, Ann. N.Y. Acad. Sci. 51, 627 (1949).
- J. Vieillard-Baron, J. Chem. Phys. 56, 4729 (1972).
- J. Viamontes, P. W. Oakes, and J. X. Tang, Phys. Rev. Lett. 97, 118103 (2006).
- D. Frenkel and R. Eppenga, Phys. Rev. A 31, 1776 (1985).
- R. L. C. Vink, Phys. Rev. Lett. 98, 217801 (2007).
- J. M. Tavares, B. Holder, and M. M. Telo da Gama, Phys. Rev. E 79, 021505 (2009).
- A. Speranza and P. Sollich, Phys. Rev. E 67, 061702 (2003).
- R. Zwanzig, J. Chem. Phys. 39, 1714 (1963).
- N. Clarke et al., J. Chem. Phys. 113, 5817 (2000).
- A. Ghosh and D. Dhar, EPL 78, 20003 (2007).
- D. A. Matoz-Fernandez, D. H. Linares, and A. J. Ramirez-Pastor, EPL 82, 50007 (2008); J. Chem. Phys. 128, 214902 (2008).
- K. Binder, Applications of the Monte Carlo Method in Statistical Physics: Topics in Current Physics (Springer, Berlin, 1984).
- T. Fischer and R. L. C. Vink, EPL 85, 56003 (2009).
- K. Kawasaki, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, London, 1972).
- N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
- A. M. Ferrenberg and D. P. Landau, Phys. Rev. B 44, 5081 (1991); W. Janke, M. Katoot, and R. Villanova, ibid. 49, 9644 (1994); K. Binder and E. Luijten, Phys. Rep. 344, 179 (2001).
- F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982).
- R. L. C. Vink (private communication).
- D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1994).
- Y. Wu, B. Schmittmann, and R. K. P. Zia, J. Phys. A 41, 025004 (2008).
- A. Bunde, S. Havlin, and M. Porto, Phys. Rev. Lett. 74, 2714 (1995).
- V. Cornette, A. J. Ramirez-Pastor, and F. Nieto, Eur. Phys. J. B 36, 391 (2003); Physica A 327, 71 (2003).