Marginal Effect of Structural Defects on the Nonequilibrium Critical Behavior of the Two-Dimensional Ising Model Full article
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Journal of Experimental and Theoretical Physics
ISSN: 1063-7761 , E-ISSN: 1090-6509 |
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| Output data | Year: 2020, Volume: 130, Pages: 258–273 Pages count : DOI: 10.1134/S1063776120010161 | ||||
| Authors |
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| Affiliations |
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Funding (5)
| 1 | Russian Foundation for Basic Research | 17-12-00279 |
| 2 | Russian Foundation for Basic Research | 18-42-550003 |
| 3 | Russian Foundation for Basic Research | 19-32-50006 |
| 4 | Russian Foundation for Basic Research | 20-32-70189 |
| 5 | Совет по грантам Президента РФ | МД-6868.2018.2 |
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.
Cite:
Prudnikov V.V.
, Prudnikov P.V.
, Malyarenko P.N.
, Shchur L.N.
Marginal Effect of Structural Defects on the Nonequilibrium Critical Behavior of the Two-Dimensional Ising Model
Journal of Experimental and Theoretical Physics. 2020. V.130. P.258–273. DOI: 10.1134/S1063776120010161 Scopus OpenAlex
Marginal Effect of Structural Defects on the Nonequilibrium Critical Behavior of the Two-Dimensional Ising Model
Journal of Experimental and Theoretical Physics. 2020. V.130. P.258–273. DOI: 10.1134/S1063776120010161 Scopus OpenAlex
Original:
Прудников В.В.
, Прудников П.В.
, Маляренко П.Н.
, Щур Л.Н.
Исследование маргинального влияния дефектов структуры на неравновесное критическое поведение двумерной модели Изинга
Журнал экспериментальной и теоретической физики. 2020. Т.157. №2. С.308-326. DOI: 10.31857/s0044451020020108 РИНЦ OpenAlex
Исследование маргинального влияния дефектов структуры на неравновесное критическое поведение двумерной модели Изинга
Журнал экспериментальной и теоретической физики. 2020. Т.157. №2. С.308-326. DOI: 10.31857/s0044451020020108 РИНЦ OpenAlex
Dates:
| Submitted: | Aug 1, 2019 |
| Accepted: | Sep 12, 2019 |
Identifiers:
| Scopus: | 2-s2.0-85140313403 |
| OpenAlex: | W3014213728 |