Comment on: "Effect of polydispersity on the ordering transition of adsorbed self-assembled rigid rods"

Abstract

The critical behavior of self-assembled rigid rods on a square lattice was recently reinvestigated by Almarza et al. [Phys. Rev. E 82, 061117 (2010)]. Based on the Binder cumulants and the value of the critical exponent of the correlation length, the authors found that the isotropic-nematic phase transition occurring in the system is in the two-dimensional Ising universality class. This conclusion contrasts with that of a previous study [López et al., Phys. Rev. E 80, 040105 (R) (2009)] which indicates that the transition at intermediate density belongs to the q = 1 Potts universality class. Almarza et al. attributed the discrepancy to the use of the density as the control parameter by López et al. The present work shows that this suggestion is not sufficient, and that the discrepancy arises solely from the use of different statistical ensembles. Finally, the necessity of making corrections to the scaling functions in the canonical ensemble is discussed.

arXiv comment3 pages, 2 figures, accepted for publication in Physical Review E

References in corpus (3)

• Determination of the Critical Exponents for the Isotropic-Nematic Phase Transition in a System of Long Rods on Two-dimensional Lattices: Universality of the Transition
• Critical exponents and universality for the isotropic-nematic phase transition in a system of self-assembled rigid rods on a lattice
• The effect of polydispersity on the ordering transition of adsorbed self-assembled rigid rods

Cited by in corpus (4)

• 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
• The nature of the ordered phase of the confined self-assembled rigid rod model