CRITICAL BEHAVIOR OF THE QUENCHED RANDOM MIXED-SPIN ISING MODEL

M. Godoy () and W. Figueiredo ()
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M. Godoy: Instituto Universitário do Araguaia, Universidade Federal de Mato Grosso, 78698-000, Pontal do Araguaia, Mato Grosso, Brazil
W. Figueiredo: Departamento de Física, Universidade Federal de Santa Catarina, 88040-900 Florianópolis, Santa Catarina, Brazil

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 01, 47-58

Abstract: In this work, we simulated a quenched random mixed-spin Ising model on the square lattice. The model system consists of two different particles with spinsσ = 1/2(states±1/2)andS = 1(states±1, 0). These particles are randomly distributed on the lattice, and we considered only nearest-neighbor interactions. This model can represent a random magnetic binary alloyAxB1-x, obtained from the high-temperature quenching of a liquid mixture. We performed Monte Carlo simulations for several lattice sizes and temperatures, and we found its critical temperature through the reduced fourth-order cumulant. We also determined the magnetization, the susceptibility, and the specific heat as a function of temperature. We used finite-size scaling arguments to estimate the critical exponents β, γ, and ν of the model. We showed that the quenched model is in the same universality class of the two-dimensional pure Ising model. We also investigated the sample to sample fluctuations that occur in the values of the thermodynamic quantities in order to describe the self-averaging properties at the critical point.

Keywords: Monte Carlo simulation; disoredered magnetic model; self-averaging properties (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109013443

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