Finite-size scaling and critical exponents in critical relaxation
- 1 March 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 53 (3) , 2940-2948
- https://doi.org/10.1103/physreve.53.2940
Abstract
We simulate the critical relaxation process of the two-dimensional Ising model with the initial state both completely disordered or completely ordered. Results of a method to measure both the dynamic and static critical exponents are reported, based on the finite-size scaling for the dynamics at the early time. From the time-dependent Binder cumulant, the dynamical exponent z is extracted independently, while the static exponents β/ν and ν are obtained from the time evolution of the magnetization and its higher moments. © 1996 The American Physical Society.Keywords
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This publication has 35 references indexed in Scilit:
- Exact exponent λ of the autocorrelation function for a soluble model of coarseningPhysical Review E, 1995
- Non-equilibrium critical relaxation with reversible mode couplingJournal of Physics A: General Physics, 1993
- Dynamical relaxation and universal short-time behavior of finite systemsJournal of Statistical Physics, 1993
- Nonequilibrium critical relaxation with coupling to a conserved densityJournal of Physics A: General Physics, 1993
- Dynamic Monte Carlo renormalization-group methodPhysical Review B, 1993
- Dynamical Critical Exponent of the Two-Dimensional Ising ModelEurophysics Letters, 1993
- New universal short-time scaling behaviour of critical relaxation processesZeitschrift für Physik B Condensed Matter, 1989
- MONTE CARLO STUDIES OF DYNAMIC CRITICAL PHENOMENALe Journal de Physique Colloques, 1988
- Monte Carlo estimate of the dynamical critical exponent of the 2D kinetic Ising modelJournal of Physics A: General Physics, 1985
- Finite size scaling analysis of ising model block distribution functionsZeitschrift für Physik B Condensed Matter, 1981