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Monte Carlo simulation of two-dimensional Ising model with logarithmic exchange interaction

Chikao Kawabata

Physics Letters ADec 1, 19787 citations

Monte Carlo simulations for two-dimensional Ising system far from equilibrium

Lei Lei, Xiaowei Xiaowei, Zheng +3 more

与动态蒙特卡罗模拟，它没有批评慢下来，以非平衡状态的二维的 Ising 模型的批评行为被调查。我们集中于二时间的自相关功能 A (t， t') 在二个不同进化阶段识别动态代表 z，分别地在 T_c 从一个高温度状态和一个完全订的状态熄灭了到临界态。由使用 heat-bathalgorithm，动态批评代表作为 z ≈被估计 2.16。作为结果，可伸缩的行为的普遍性数字地被验证，并且代表λ _ c 是坚定的由λ _ c = 完全为来自一个起始的完全订的状态的进化的β / v。与动态蒙特卡罗模拟，它没有批评慢下来，以非平衡状态的二维的 Ising 模型的批评行为被调查。我们集中于二时间的自相关功能 A (t， t') 在二个不同进化阶段识别动态代表 z，分别地在 T_c 从一个高温度状态和一个完全订的状态熄灭了到临界态。由使用 heat-bathalgorithm，动态批评代表作为 z ≈被估计 2.16。作为结果，可伸缩的行为的普遍性数字地被验证，并且代表λ _ c 是坚定的由λ _ c = 完全为来自一个起始的完全订的状态的进化的β / v。

中国科学通报：英文版Jan 1, 20070 citations

Monte Carlo simulations of Ising models

Walter Selke

Computer Physics CommunicationsAug 1, 19961 citation

Monte Carlo Simulations of Dilute Ising Models

Walter Selke

Springer proceedings in physicsJan 1, 19938 citations

Monte Carlo Studies of the Square Lattice Ising System with the Two-Dimensional Dipolar Interaction

Seizo Watarai, Keizô Yamamoto, Akira Nakanishi

Monte Carlo simulations are performed on the square lattice Ising system with both the nearest neighbor and the two-dimensional dipolar interactions in order to investigate the critical property of ferromagnetic phase transitions in this 2-dimensional system. Applying the finite size scaling theory to Monte Carlo data just near the transition point, the critical indices of this dipolar system are calculated and α=0.31±0.04, β =0.20±0.02, γ=1.08±0.20 and ν=0.72±0.10 are obtained. However, in the temperature region considerably far from the transition point, different values of α, β and γ seem to be adequate, which are rather close to those of the rigorous result of the 2-dimensional Ising model.Monte Carlo simulations are performed on the square lattice Ising system with both the nearest neighbor and the two-dimensional dipolar interactions in order to investigate the critical property of ferromagnetic phase transitions in this 2-dimensional system. Applying the finite size scaling theory to Monte Carlo data just near the transition point, the critical indices of this dipolar system are calculated and α=0.31±0.04, β =0.20±0.02, γ=1.08±0.20 and ν=0.72±0.10 are obtained. However, in the temperature region considerably far from the transition point, different values of α, β and γ seem to be adequate, which are rather close to those of the rigorous result of the 2-dimensional Ising model.

Journal of the Physical Society of JapanMay 15, 19920 citations

Monte Carlo studies of critical behaviour of systems with long-range correlated disoder

Vladimir V. Prudnikov, Pavel Vladimirovich Prudnikov, S. Dorofeev +1 more

Monte Carlo simulations of the short-time dynamic behaviour are reported for three-dimensional Ising model and XY-model with long-range spatially correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic critical exponents are computed with the use of the corrections to scaling. The obtained values of the exponents are in a good agreement with results of the field-theoretic description of the critical behaviour of this model in the two-loop approximation and with our results of Monte Carlo simulations of three-dimensional Ising model in equilibrium state.Monte Carlo simulations of the short-time dynamic behaviour are reported for three-dimensional Ising model and XY-model with long-range spatially correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic critical exponents are computed with the use of the corrections to scaling. The obtained values of the exponents are in a good agreement with results of the field-theoretic description of the critical behaviour of this model in the two-loop approximation and with our results of Monte Carlo simulations of three-dimensional Ising model in equilibrium state.

Condensed Matter PhysicsJan 1, 200512 citations

Monte Carlo simulations for two-dimensional Ising system far from equilibrium

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