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25 April 2024
 
  » arxiv » cond-mat/0010195

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Ground states versus low-temperature equilibria in random field Ising chains
G. Schröder ; T. Knetter ; M. J. Alava ; H. Rieger ;
Date 13 Oct 2000
Journal European Physical Journal B 24, 101 (2001)
Subject Disordered Systems and Neural Networks; Statistical Mechanics | cond-mat.dis-nn cond-mat.stat-mech
AbstractWe discuss with the aid of random walk arguments and exact numerical computations the magnetization properties of one-dimensional random field chains. The ground state structure is explained in terms of absorbing and non-absorbing random walk excursions. At low temperatures, the magnetization profiles follow those of the ground states except at regions where a local random field fluctuation makes thermal excitations feasible. This follows also from the non-absorbing random walks, and implies that the magnetization length scale is a product of these two scales. It is not simply given by the Imry-Ma-like ground state domain size nor by the scale of the thermal excitations.
Source arXiv, cond-mat/0010195
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