Determination of the Critical Exponents for the Isotropic-Nematic Phase Transition in a System of Long Rods on Two-dimensional Lattices: Universality of the Transition

Abstract

Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior and universality for the isotropic-nematic phase transition in a system of long straight rigid rods of length $k$ ($k$-mers) on two-dimensional lattices. The nematic phase, characterized by a big domain of parallel $k$-mers, is separated from the isotropic state by a continuous transition occurring at a finite density. The determination of the critical exponents, along with the behavior of Binder cumulants, indicate that the transition belongs to the 2D Ising universality class for square lattices and the three-state Potts universality class for triangular lattices.

arXiv comment7 pages, 8 figures, uses epl2.cls, to appear in Europhysics Letters

References in corpus (3)

• On the orientational ordering of long rods on a lattice
• Critical Binder cumulant in two-dimensional anisotropic Ising models
• Cumulants of the three state Potts model and of nonequilibrium models with C3v symmetry

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