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

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 (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.

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

References in corpus (5)

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• Comment on: "Effect of polydispersity on the ordering transition of adsorbed self-assembled rigid rods"
• Reply to Comment on Effect of polydispersity on the ordering transition of adsorbed self-assembled rigid rods
• Role of length-polydispersity on the phase behavior of freely-rotating hard-rectangle fluid
• Adsorption of Self-Assembled Rigid Rods on Two-Dimensional Lattices
• Critical behavior of self-assembled rigid rods on two-dimensional lattices: Bethe-Peierls approximation and Monte Carlo simulations
• Percolation thresholds of randomly rotating patchy particles on Archimedean lattices
• Experimental and numerical study of a second-order transition in the behavior of confined self-propelled particles
• The nature of the ordered phase of the confined self-assembled rigid rod model