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Critical behavior of long linear k-mers on honeycomb lattices

Author

Listed:
  • Matoz-Fernandez, D.A.
  • Linares, D.H.
  • Ramirez-Pastor, A.J.

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.

Suggested Citation

  • Matoz-Fernandez, D.A. & Linares, D.H. & Ramirez-Pastor, A.J., 2008. "Critical behavior of long linear k-mers on honeycomb lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6513-6525.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:26:p:6513-6525
    DOI: 10.1016/j.physa.2008.08.010
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