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

Habte Dulla Berry *

Department of Physics, College of Natural and Computational sciences, Dilla University, P.O.BOX 419, Dilla, Ethiopia

*Author to whom correspondence should be addressed.


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.

 

Keywords: Long range interactions, ising spin glass model, Monte Carlo methods, diluted bonds


How to Cite

Dulla Berry, H. (2015). Investigation of Disordered State in the Distribution of Diluted Interaction Coupling Using Ising Spin Model in Two Dimension. Physical Science International Journal, 6(4), 219–224. https://doi.org/10.9734/PSIJ/2015/16087

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