Monte Carlo simulations of 2d hard core lattice gases

Details Monte Carlo simulations of 2d hard core lattice gases Monte Carlo simulations of 2d hard core lattice gases

2006-12-14

arxiv.org/abs/cond-mat/0612372v1

J. Chem. Phys. 126, 114508 (2007) (11 pages)

Physics

Condensed Matter

Statistical Mechanics

13 pages, lots of figures

Scientific paper

10.1063/1.2539141

Monte Carlo simulations are used to study lattice gases of particles with extended hard cores on a two dimensional square lattice. Exclusions of one and up to five nearest neighbors (NN) are considered. These can be mapped onto hard squares of varying side length, $\lambda$ (in lattice units), tilted by some angle with respect to the original lattice. In agreement with earlier studies, the 1NN exclusion undergoes a continuous order-disorder transition in the Ising universality class. Surprisingly, we find that the lattice gas with exclusions of up to second nearest neighbors (2NN) also undergoes a continuous phase transition in the Ising universality class, while the Landau-Lifshitz theory predicts that this transition should be in the universality class of the XY model with cubic anisotropy. The lattice gas of 3NN exclusions is found to undergo a discontinuous order-disorder transition, in agreement with the earlier transfer matrix calculations and the Landau-Lifshitz theory. On the other hand, the gas of 4NN exclusions once again exhibits a continuous phase transition in the Ising universality class -- contradicting the predictions of the Landau-Lifshitz theory. Finally, the lattice gas of 5NN exclusions is found to undergo a discontinuous phase transition.

Affiliated with

Also associated with

No associations

Rating

Monte Carlo simulations of 2d hard core lattice gases does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Monte Carlo simulations of 2d hard core lattice gases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monte Carlo simulations of 2d hard core lattice gases will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-476306