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Ground states versus low-temperature equilibria in random field Ising chains
Authors:G Schröder  T Knetter  MJ Alava  H Rieger
Institution:Institut für Theoretische Physik, Universit?t zu K?ln, 50926 K?ln, Germany, DE
Helsinki University of Techn., Lab. of Physics, PO Box 1100, 02015 HUT, Finland, FI
Theoretische Physik, Universit?t des Saarlandes, 66041 Saarbrücken, Germany, DE
Abstract:Random walk arguments and exact numerical computations are used to study one-dimensional random field chains. The ground state structure is described with absorbing and non-absorbing random walk excursions. At low temperatures, the local magnetization follows the ground state except at regions where a local random field fluctuation makes thermal excitations easier. This is explained by the random walk picture, implying that the magnetization lengthscale is a product of the domain size and the thermal excitation scale. Received 16 October 2000 and Received in final form 7 June 2001
Keywords:PACS  05  40  -a Fluctuation phenomena  random processes  noise  and Brownian motion –  05  50  +q Lattice theory and statistics          (Ising  Potts  etc  ) –  75  50  Lk Spin glasses and other random magnets
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