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

Abstract

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.

14 RevTeX pages, 6 figures

References in corpus (5)

• Critical exponents of the three dimensional diluted Ising model
• Randomly dilute spin models: a six-loop field-theoretic study
• Equilibrium random-field Ising critical scattering in the antiferromagnet Fe(0.93)Zn(0.07)F2
• The three-dimensional randomly dilute Ising model: Monte Carlo results
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Cited by in corpus (4)

• Short-time dynamics and critical behavior of three-dimensional site-diluted Ising model
• Thermodynamic properties of a diluted Heisenberg ferromagnet with interaction anisotropy -- magnetocaloric point of view
• Relaxational dynamics in 3D randomly diluted Ising models
• Critical behavior of weakly disordered Ising model: Six-loop $\sqrt{\epsilon }$ expansion study