Ground states versus low-temperature equilibria in random field Ising chains
Schröder-Turk, G.E., Knetter, T., Alava, M.J. and Rieger, H. (2001) Ground states versus low-temperature equilibria in random field Ising chains. The European Physical Journal B - Condensed Matter and Complex Systems, 24 (1). pp. 101-105.
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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.
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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