Critical Behavior of Long Linear k- mers on Honeycomb Lattices

D. A. MATOZ-FERNANDEZ; D. H. LINARES; A. J. RAMIREZ-PASTOR

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier

Año: 2008 vol. 387 p. 6513 - 6525

0378-4371

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 c . 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 c on k, being of the nematic phase, being kmin = 11; (2) to predict the dependence of c on k, being c (k) / k−1; and (3) to obtain the critical exponents, which indicate that the transition belongs to the 2D three-state Potts universality class. c (k) / k−1; and (3) to obtain the critical exponents, which indicate that the transition belongs to the 2D three-state Potts universality class.