A Monte Carlo study of the triangular lattice gas with the first- and the second-neighbor exclusions

Abstract

We formulate a Swendsen-Wang-like version of the geometric cluster algorithm. As an application,we study the hard-core lattice gas on the triangular lattice with the first- and the second-neighbor exclusions. The data are analyzed by finite-size scaling, but the possible existence of logarithmic corrections is not considered due to the limited data. We determine the critical chemical potential as ${\mu }_c=1.75682(2)$ and the critical particle density as ${\rho }_c=0.180(4)$. The thermal and magnetic exponents $y_t=1.51(1)\approx 3/2$ and $y_h=1.8748(8)\approx 15/8$, estimated from Binder ratio $Q$ and susceptibility $\chi$, strongly support the general belief that the model is in the 4-state Potts universality class. On the other hand, the analyses of energy-like quantities yield the thermal exponent $y_t$ ranging from $1.440(5)$ to $1.470(5)$. These values differ significantly from the expected value 3/2, and thus imply the existence of logarithmic corrections.

4 figures 2 tables

References in corpus (6)

• Logarithmic Corrections and Finite-Size Scaling in the Two-Dimensional 4-State Potts Model
• Stabilization of colloidal suspensions by means of highly-charged nanoparticles
• Monte Carlo simulations of 2d hard core lattice gases
• Generalized Geometric Cluster Algorithm for Fluid Simulation
• Critical phenomena of the hard-sphere lattice gas on the simple cubic lattice
• Universality in the Three-Dimensional Hard-Sphere Lattice Gas

Cited by in corpus (9)

• Phase diagram of a two-dimensional lattice gas model of a ramp system
• Phase Transitions in Hardcore Lattice Gases on the Honeycomb Lattice
• Transfer-matrix study of a hard-square lattice gas with two kinds of particles and density anomaly
• Husimi lattice solutions and the coherent-anomaly-method analysis for hard-square lattice gases
• The freezing phase transition in hard core lattice gases on triangular lattice with exclusion up to seventh next-nearest neighbor
• Hard core lattice gas with third next-nearest neighbor exclusion on triangular lattice: one or two phase transitions?
• Critical behavior of hard-core lattice gases: Wang-Landau sampling with adaptive windows
• Interpenetration as a Mechanism for Liquid-Liquid Phase Transitions
• Critical exponents from cluster coefficients