Monte-Carlo Study of the Dimensional Conserved-Order-Parameter Ising Model via Finite-Size Scaling Analysis

摘要

The critical properties of the three-dimensional simple-cubic Ising model (spin=1/2) with nearest-neighbor interactions were investigated by means of the Monte Carlo Wang-Landau, Metropolis,and heat-bath algorithms. We considered a variant of the aforementioned model wherein the magnetization is fixed at the zero value, conserved-order-parameter (COP) Ising model. The calculation was focused on the specific heat and Binder energy cumulant for lattices with linear size L = 4-0. The accumulated data was analyzed by finite-size scaling analysis; the thermal critical exponent y_t and critical temperature K_c were estimated for all algorithms and the resulting values are compatible with those of the normal version. Also, the analysis revealed the necessity of corrections to interpret correctly the Monte Carlo data.