Critical exponents and universality for the isotropic-nematic phase transition in a system of self-assembled rigid rods on a lattice

Details Critical exponents and universality for the isotropic-nematic phase transition in a system of self-assembled rigid rods on a lattice Critical exponents and universality for the isotropic-nematic phase transition in a system of self-assembled rigid rods on a lattice

2009-04-01

arxiv.org/abs/0904.0269v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures. Final version accepted for publication in PRE (Rapid Communications)

Scientific paper

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 (I-N) transition. The results show that the self-assembly process affects the nature of the transition. Thus, the determination of the critical exponents indicates that the universality class of the I-N transition changes from two-dimensional Ising-type for monodisperse rods without self-assembly to q=1 Potts-type for self-assembled rods.

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