Analytical solution of a one-dimensional Ising model with zero-temperaturedynamics

Authors
Prados, A Brey, JJ
Citation
A. Prados et Jj. Brey, Analytical solution of a one-dimensional Ising model with zero-temperaturedynamics, J PHYS A, 34(33), 2001, pp. L453-L459
Citations number
32
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
33
Year of publication
2001
Pages
L453 - L459
Database
ISI
SICI code
0305-4470(20010824)34:33<L453:ASOAOI>2.0.ZU;2-U
Abstract
The one-dimensional Ising model with nearest-neighbour interactions and the zero-temperature dynamics recently considered by Lefevre and Dean (Lefevre A and Dean D S 2001 J. Phys. A: Math. Gen. 34 L213) is investigated. By in troducing a particle-hole description, in which the holes are associated to the domain walls of the Ising model, an analytical solution is obtained. T he result for the asymptotic energy agrees with that found in the mean fiel d approximation.