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Marginal Effect of Structural Defects on the Nonequilibrium Critical Behavior of the Two-Dimensional Ising Model

  • ORDER, DISORDER, AND PHASE TRANSITION IN CONDENSED SYSTEM
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Abstract

The influence of various initial magnetizations m0 and structural defects on the nonequilibrium critical behavior of the two-dimensional Ising model is numerically simulated by Monte Carlo methods. Based on analysis of the time dependence of magnetization and the two-time dependences of autocorrelation function and dynamic susceptibility, we revealed the influence of logarithmic corrections and the crossover phenomena of percolation behavior on the nonequilibrium characteristics and the critical exponents. Violation of the fluctuation–dissipation theorem is studied, and the limiting fluctuation–dissipation ratio is calculated for the case of high-temperature initial state. The influence of various initial states on the limiting fluctuation–dissipation ratio is investigated. The nonequilibrium critical dynamics of weakly disordered systems with spin concentrations p ≥ 0.9 is shown to belong to the universality class of the nonequilibrium critical behavior of the pure model and to be characterized by the same critical exponents and the same limiting fluctuation–dissipation ratios. The nonequilibrium critical behavior of systems with p ≤ 0.85 demonstrates that the universal characteristics of the nonequilibrium critical behavior depend on the defect concentration and the dynamic scaling is violated, which is related to the influence of the crossover effects of percolation behavior.

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ACKNOWLEDGMENTS

The calculations were performed using the resources of the supercomputer center of Moscow State University and the supercomputer center of Russian Academy of Sciences.

Funding

This work was supported by the Russian Foundation for Basic Research (project nos. 17-12-00279, 18-42-550003, 19-32-50006, 20-32-70189) and grant MD-6868.2018.2 of the President of the Russian Federation.

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Authors and Affiliations

  1. Omsk State University, 644077, Omsk, Russia

    V. V. Prudnikov, P. V. Prudnikov & P. N. Malyarenko

  2. Landau Institute for Theoretical Physics, Russian Academy of Sciences, 142432, Chernogolovka, Moscow oblast, Russia

    P. N. Malyarenko & L. N. Shchur

Authors
  1. V. V. Prudnikov
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  2. P. V. Prudnikov
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  3. P. N. Malyarenko
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  4. L. N. Shchur
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Correspondence to V. V. Prudnikov.

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Translated by K. Shakhlevich

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Prudnikov, V.V., Prudnikov, P.V., Malyarenko, P.N. et al. Marginal Effect of Structural Defects on the Nonequilibrium Critical Behavior of the Two-Dimensional Ising Model. J. Exp. Theor. Phys. 130, 258–273 (2020). https://doi.org/10.1134/S1063776120010161

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  • DOI: https://doi.org/10.1134/S1063776120010161

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