Article,
Persistence in the zero-temperature dynamics of the random ising ferromagnet on a Voronoi-Delaunay lattice
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 270 (1-2): 182-185 (2004)
DOI: 10.1016/j.jmmm.2003.08.016
Abstract
The zero-temperature Glauber dynamic is used to investigate the
persistence probability P(t) in the random two-dimensional ferromagnetic
Ising model on a Voronoi-Delaunay tessellation. We consider the coupling
factor J varying with the distance r between the first neighbors to be
J(r)proportional toe(-ar), with alpha greater than or equal to 0. The
persistence probability P(infinity), that does not depend on time t, is
found to achieve a non-zero value that depends on the parameter alpha Nevertheless, the quantity p(t) = P(t) - P(infinity) decays
exponentially to zero over long times. Furthermore, the fraction of
spins that do not change at a time t is a monotonically increasing
function of the parameter alpha. Our results are consistent with those
obtained for the diluted ferromagnetic Ising model on a square lattice.
(C) 2003 Elsevier B.V. All rights reserved.
