Abstract
We study the phase transition from a nematic phase to a high-density disordered phase in systems of long rigid rods of length on the square and triangular lattices. We use an efficient Monte Carlo scheme that partly overcomes the problem of very large relaxation times of nearly jammed configurations. The existence of a continuous transition is observed on both lattices for . We study correlations in the high-density disordered phase, and we find evidence of a crossover length scale on the square lattice. For distances smaller than , correlations appear to decay algebraically. Our best estimates of the critical exponents differ from those of the Ising model, but we can not rule out a crossover to Ising universality class at length scales . On the triangular lattice, the critical exponents are consistent with those of the two-dimensional three-state Potts universality class.
10 More- Received 12 November 2012
DOI:https://doi.org/10.1103/PhysRevE.87.032103
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