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arXiv · 0804.3614

Critical behavior of long straight rigid rods on two-dimensional lattices: Theory and Monte Carlo simulations

D. A. Matoz-Fernandez·D. H. Linares·A. J. Ramirez-Pastor
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Abstract

The critical behavior of long straight rigid rods of length $k$ ($k$-mers) on square and triangular lattices at intermediate density has been studied. A nematic phase, characterized by a big domain of parallel $k$-mers, was found. This ordered phase is separated from the isotropic state by a continuous transition occurring at a intermediate density $\theta_c$. Two analytical techniques were combined with Monte Carlo simulations to predict the dependence of $\theta_c$ on $k$, being $\theta_c(k) \propto k^{-1}$. The first involves simple geometrical arguments, while the second is based on entropy considerations. Our analysis allowed us also to determine the minimum value of $k$ ($k_{min}=7$), which allows the formation of a nematic phase on a triangular lattice.

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BibTeXRIS

D. A. Matoz-Fernandez, D. H. Linares, A. J. Ramirez-Pastor. 2008-04-22. Critical behavior of long straight rigid rods on two-dimensional lattices: Theory and Monte Carlo simulations. https://doi.org/10.1063/1.2927877

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