Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-08-02
Physics
Condensed Matter
Statistical Mechanics
7 pages, 8 figures, uses epl2.cls, to appear in Europhysics Letters
Scientific paper
10.1209/0295-5075/82/50007
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.
Linares Daniel H.
Matoz-Fernandez D. A.
Ramirez-Pastor Antonio José
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