Exact approach to equilibrium for the glauber model of a one-dimensional Ising system with random ±J bonds

The (discrete-time) Glauber model is considered for a one-dimensional system of spins sj = ±1 with nearest-neighbor Ising interaction H = -ΣjJjsjsj+1. The Jj = ±J are treated as random variables with an arbitrary joint probability p(J). The exact time-dependent average 〈sj〉t is determined, and from it the “quenched” average 〈〈sj〉t〉av=ΣJp(J)〈sj〉t is explicitly found.

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Year of publication:	1980
Authors:	Falk, H.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 104.1980, 3, p. 475-479
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011064144