Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-02-17
EPL V85, P56003 (2009).
Physics
Condensed Matter
Statistical Mechanics
6 pages. to appear in Europhysics Letters
Scientific paper
10.1209/0295-5075/85/56003
We present Monte Carlo simulation results of the two-dimensional Zwanzig fluid, which consists of hard line segments which may orient either horizontally or vertically. At a certain critical fugacity, we observe a phase transition with a two-dimensional Ising critical point. Above the transition point, the system is in an ordered state, with the majority of particles being either horizontally or vertically aligned. In contrast to previous work, we identify the transition as being of the liquid-gas type, as opposed to isotropic-to-nematic. This interpretation naturally accounts for the observed Ising critical behavior. Furthermore, when the Zwanzig fluid is extended to more allowed particle orientations, we argue that in some cases the symmetry of a q-state Potts model with q>2 arises. This observation is used to interpret a number of previous results.
Fischer Theodore
Vink Richard L. C.
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