Short-time critical dynamics of the three-dimensional Ising model

1998/08/12 by A. Jaster, A Jaster, J Mainville +5 · 3 citations
Mathematics · Physics and Astronomy · #Statistical Mechanics and Entropy #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1088/0305-4470/32/8/008

published as J. Phys. A: Math. Gen. 32 (1999) 1395 · 8 pages with 7 figures

arxiv created 1998/08/12 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Comprehensive Monte Carlo simulations of the short-time dynamic behaviour are reported for the three-dimensional Ising model at criticality. Besides the exponent of the critical initial increase and the dynamic exponent z , the static critical exponents and as well as the critical temperature are determined from the power-law scaling behaviour of observables at the beginning of the time evolution. States of very high temperature as well as of zero temperature are used as initial states for the simulations.

Citations

• Ising Universality in Three Dimensions: A Monte Carlo Study
• Monte Carlo Study of the Spontaneous Magnetizationof the Three-Dimensional Ising Model
• The Magnetization of the 3D Ising Model

Cited by

• Infinitesimal incommensurate stripe phase in an axial next-nearest-neighbor Ising model in two dimensions
• The role of symmetry in the short-time critical dynamics
• Dynamic critical behavior of the Swendsen–Wang algorithm for the three-dimensional Ising model