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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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