Critical behavior of long straight rigid rods on two-dimensional lattices: Theory and Monte Carlo simulations
| Autor: | Matoz-Fernandez, D. A., Linares, D. H., Ramirez-Pastor, A. J. |
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| Rok vydání: | 2008 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1063/1.2927877 |
| Popis: | 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. Comment: 23 pages, 5 figures, to appear in The Journal of Chemical Physics |
| Databáze: | arXiv |
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