Non-equilibrium relaxation and interface energy of the Ising model

Abstract

{}From the non-equilibrium critical relaxation study of the two-dimensional Ising model, the dynamical critical exponent $z$ is estimated to be $2.165\pm 0.010$ for this model. The relaxation in the ordered phase of this model is consistent with $\exp (-\sqrt{t/\tau })$ behavior. The interface energy of the three-dimensional Ising model is studied and the critical exponent of the correlation length $\nu$ and the critical amplitude of the surface tension ${\sigma }_0$ are estimated to be $0.6250\pm 0.025$ and $1.42\pm 0.04$, respectively. A dynamic Monte Carlo renormalization group method is applied to the equilibrium properties of the three-dimensional Ising model successfully.

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References in corpus (4)

• Properties of Interfaces in the two and three dimensional Ising Model
• Surface Tension, Surface Stiffness, and Surface Width of the 3-dimensional Ising Model on a Cubic Lattice
• New Dynamic Monte Carlo Renormalization Group Method
• Numerical Investigation of the Interface Tension in the three-dimensional Ising Model

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