Domain number distribution in the Nonequilibrium Ising model

Authors
Ben-Naim, E Krapivsky, PL
Citation
E. Ben-naim et Pl. Krapivsky, Domain number distribution in the Nonequilibrium Ising model, J STAT PHYS, 93(3-4), 1998, pp. 583-601
Citations number
55
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
93
Issue
3-4
Year of publication
1998
Pages
583 - 601
Database
ISI
SICI code
0022-4715(199811)93:3-4<583:DNDITN>2.0.ZU;2-M
Abstract
We study domain distributions in the one-dimensional Ising model subject to zero-temperature Glauber and Kawasaki dynamics. The survival probability o f a domain, S(t) similar to t(-psi), and an unreacted domain, O-1(t) simila r to t(-delta), are characterized by two independent nontrivial exponents. We develop an independent interval approximation that provides close estima tes for many characteristics of the domain length and number distributions including the scaling exponents.