Turkish Journal of Physics
Dynamical Critical Exponents of the Four Dimensional Ising Model
DOI
-
Abstract
The modified definition of the correlation length for the four dimensional Ising model \xi \propto \epsilon^{-\nu} log^{1/6}\epsilon [1] predicts that the relaxation time for a quantity near the critical temperature T_c should diverge as \tau \propto \epsilon^{-\Delta} log^{\Delta/3}\epsilon where \epsilon, \nu, and \Delta are, respectively, the reduced temperature ( \epsilon=( T_c-T )/T_c, T_c = 6.68 ), the correlation length critical exponent, and a dynamical critical exponent. The \tau-data for the nonlinear relaxation of the order parameter computed on the Creutz cellular automaton [2,3], by using the finite-size lattices of linear dimension L = 12 and 14 as approximations to the infinite lattice for T.
First Page
169
Last Page
169
Recommended Citation
AKTEKİN, Nevzat (1997) "Dynamical Critical Exponents of the Four Dimensional Ising Model," Turkish Journal of Physics: Vol. 21: No. 1, Article 37. Available at: https://journals.tubitak.gov.tr/physics/vol21/iss1/37
