Computer simulation of the critical behavior of 3D disordered ising model

Journal Article · Wed Aug 15 04:00:00 EDT 2007 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776107080092· OSTI ID:21075728

Prudnikov, P V; Vakilov, A N; Krinitsyn, A S ^[1]

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1. Omsk State University (Russian Federation)

The critical behavior of the disordered ferromagnetic Ising model is studied numerically by the Monte Carlo method in a wide range of variation of concentration of nonmagnetic impurity atoms. The temperature dependences of correlation length and magnetic susceptibility are determined for samples with various spin concentrations and various linear sizes. The finite-size scaling technique is used for obtaining scaling functions for these quantities, which exhibit a universal behavior in the critical region; the critical temperatures and static critical exponents are also determined using scaling corrections. On the basis of variation of the scaling functions and values of critical exponents upon a change in the concentration, the conclusion is drawn concerning the existence of two universal classes of the critical behavior of the diluted Ising model with different characteristics for weakly and strongly disordered systems.

• OSTI ID: 21075728
• Journal Information: Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 2 Vol. 105; ISSN JTPHES; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
COMPUTERIZED SIMULATION
CRITICAL TEMPERATURE
FUNCTIONS
ISING MODEL
MAGNETIC SUSCEPTIBILITY
MONTE CARLO METHOD
SPIN
TEMPERATURE DEPENDENCE
THREE-DIMENSIONAL CALCULATIONS