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Non-equilibrium relaxation and interface energy of the Ising model

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  • Ito, Nobuyasu

Abstract

From the non-equilibrium critical relaxation study of the two-dimensional Ising model, the dynamical critical exponent z is estimated to be 2.165 ± 0.010 for this model. The relaxation in the ordered phase of this model is consistent with exp (−√t/τ) behavior. The interface energy of the three-dimensional Ising model is studied and the critical exponent of the correlation length ν and the critical amplitude of the surface tension σ0 are estimated to be 0.6250 ± 0.0025 and 1.42 ± 0.04, respectively. A dynamic Monte Carlo renormalization group method is successfully applied to the equilibrium properties of the three-dimensional Ising model.

Suggested Citation

  • Ito, Nobuyasu, 1993. "Non-equilibrium relaxation and interface energy of the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(4), pages 591-614.
    • Handle: RePEc:eee:phsmap:v:196:y:1993:i:4:p:591-614
    DOI: 10.1016/0378-4371(93)90036-4
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    1. Gausterer, H. & Potvin, J. & Rebbi, C. & Sanielevici, S., 1993. "Surface tension and universality in the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(3), pages 525-539.
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    1. Adzhemyan, L.Ts. & Evdokimov, D.A. & Hnatič, M. & Ivanova, E.V. & Kompaniets, M.V. & Kudlis, A. & Zakharov, D.V., 2022. "Model A of critical dynamics: 5-loop ɛ expansion study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    2. Meng, Qing-Kuan & Feng, Dong-Tai & Sun, Yu-Ping & Zhou, Ai-Ping & Tan, Shu-Gang & Sun, Yan, 2019. "Study on the two-dimensional kinetic Ising model with the dynamic Monte Carlo renormalization group method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 114-120.

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