Wang-Landau simulation for the quasi-one-dimensional Ising model

Abstract

We revisit the nature of the quasi-one-dimensional Ising model on the basis of Wang-Landau simulation. We introduce the density of states in the two-dimensional energy space corresponding to the intra- and inter-chain directions. We then analyze the interchain coupling dependence of the specific heat of the anistropic two-dimensional Ising model in the context of the density of states, and further discuss the size dependences of the peak temperature. We also discuss the feature of the phase transition in the three-dimensional case.

7 pages, 8 figures, to appear in J. Phys. Soc. Jpn

References in corpus (8)

• An efficient, multiple range random walk algorithm to calculate the density of states
• Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
• Understanding and Improving the Wang-Landau Algorithm
• Novel ordering of an S = 1/2 quasi one-dimensional Ising-like anitiferromagnet in magnetic field
• Convergence and Refinement of the Wang-Landau Algorithm
• Field-induced incommensurate order for the quasi-one-dimensional XXZ model in a magnetic field
• Efficient Monte Carlo algorithm in quasi-one-dimensional Ising spin systems
• Universal Reduction of Effective Coordination Number in the Quasi-One-Dimensional Ising Model