Critical behavior of long linear k-mers on honeycomb lattices

D.A. Matoz-Fernandez, D.H. Linares and A.J. Ramirez-Pastor

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 26, 6513-6525

Abstract: Monte Carlo (MC) simulations, finite-size scaling and theoretical analysis have been carried out to study the critical behavior of long linear particles of length k (k-mers) on honeycomb lattices. A 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 θc. Our study allowed: (1) to determine the minimum value of k (kmin), which allows the formation of the nematic phase, being kmin=11; (2) to predict the dependence of θc on k, being θc(k)∝k−1; and (3) to obtain the critical exponents, which indicate that the transition belongs to the 2D three-state Potts universality class.

Keywords: Lattice theory and statistics (Ising, Potts, etc.); Transitions in liquid crystals; Numerical simulation studies (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:26:p:6513-6525

DOI: 10.1016/j.physa.2008.08.010

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