info:eu-repo/semantics/article
Critical behavior of long linear k-mers on honeycomb lattices
Fecha
2008-11-15Registro en:
Matoz Fernandez, Daniel Alejandro; Linares, Daniel Humberto; Ramirez Pastor, Antonio Jose; Critical behavior of long linear k-mers on honeycomb lattices; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 387; 26; 15-11-2008; 6513-6525
0378-4371
CONICET Digital
CONICET
Autor
Matoz Fernandez, Daniel Alejandro
Linares, Daniel Humberto
Ramirez Pastor, Antonio Jose
Resumen
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.