Random-number Seed Selection Problem in Monte Carlo Simulation of Two-Dimensional Dielectric Pseudo-spin Ising Hamiltonian System

We investigate the dependence of Monte Carlo (MC) calculations for two-dimensional ferroelectrics on random-number generators by using the fixed seeds and variable time and date seeds. The MC results obtained by using different seeds are elucidated using auto-correlation functions and the temperature dependence of transverse dielectric constants. The dielectric properties of the pseudo-spin Ising model obtained using the Metropolis statistical methods are discussed by the quality of randomness.