Investigation of Disordered State in the Distribution of Diluted Interaction Coupling Using Ising Spin Model in Two Dimension

Abstract

In this study long range interaction coupling Ising spin-glass systems with () are considered. Monte Carlo approach of the critical behavior is presented and also in presence of diverging thermodynamical fluctuations at the critical point the behavior of the model is shown to be of the Replica Symmetry Breaking type. The parallel tempering algorithm has been used to simulate the dynamical approach to equilibrium of such systems. The author has obtained phase transition temperatures for different linear lattice sizes (L=10, 20, 30, 40 &  ) but for    and larger sizes there is no phase transition.