NONEQUILIBRIUM RELAXATION OF THE 3D + -J EA MODEL/

Citation
Fg. Wang et al., NONEQUILIBRIUM RELAXATION OF THE 3D + -J EA MODEL/, International journal of modern physics C, 7(4), 1996, pp. 573-594
Citations number
41
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
ISSN journal
01291831
Volume
7
Issue
4
Year of publication
1996
Pages
573 - 594
Database
ISI
SICI code
0129-1831(1996)7:4<573:NROT3+>2.0.ZU;2-D
Abstract
By studying correlation functions of two replicas with the damage spre ading method, the spin glass transition temperature of the 3D +/- J EA model is evaluated by using Campbell's criterion D(T-g, t --> infinit y) = 1/2 or q(d)(AB)(T-g,t --> infinity) = 0, where D and q(d)(AB) are the Hamming distance and the overlap of the two replicas, respectivel y. The two replicas evolve with the same series of the random numbers and with initial spin-configurations related to each other by S-i(A)(t = 0) = -S-i(B)(t = 0) (for all i). From our simulational data for sys tem sizes up to L = 64, the spin glass transition temperature is estim ated as T-g = 1.18 +/- 0.06. The replica simulational method and the d amage spreading method are compared with each other. The relaxation ex ponents of the magnetization and the correlation functions are also es timated in the vicinity of T-g on a large lattice and the dynamical cr itical exponent z is estimated as z similar or equal to 6.0.