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Computer simulation of the nonequilibrium critical behavior of disordered two-dimensional Ising systems

  • Solid State Physics
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Russian Physics Journal Aims and scope

Abstract

We report the results of a computer simulation of the critical relaxation of the magnetization in the two-dimensional Ising model with nonmagnetic impurity atoms frozen at the lattice sites. We assume a square lattice of dimension 4002 with spin concentrationsp=1.0, 0.95, 0.9, 0.85, 0.8, 0.75, 0.7. The Monte Carlo and dynamic renormalization group methods are used to determine the dynamical critical indexz as a function ofp: z(p): z(1)=2.24±0.07,z(0.95)=2.24±0.06,z(0.85)=2.38±0.05,z(0.8)=2.51±0.06,z(0.75)=2.66±0.07,z(0.7)=2.88±0.06. It is shown thatz(p) obeys a singular scaling law of the formz=A′ | ln (p−p c) |+B′ withA′=0.56±0.07,B′=1.62±0.07.

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Authors
  1. O. N. Markov
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  2. V. V. Prudnikov
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Additional information

Omsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 83–88, August, 1994.

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Markov, O.N., Prudnikov, V.V. Computer simulation of the nonequilibrium critical behavior of disordered two-dimensional Ising systems. Russ Phys J 37, 770–774 (1994). https://doi.org/10.1007/BF00559873

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  • DOI: https://doi.org/10.1007/BF00559873

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