Dynamics of the random field Ising model |
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Authors: | I. Vilfan |
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Affiliation: | 1. International School for Advanced Studies, Strada Costiera 11, I-30414 Trieste, Italy;2. J. Stefan Institute, P.O.B. 53, YU-61111 Ljubljana, Yugoslavia |
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Abstract: | Dynamics of the kinetic Ising model in the presence of static random fields is investigated using a self-consistent method. It is shown that if the interface fluctuations of the low temperature phase are small the system at low temperatures stays in a state without long range order. For this state the spin correlation function 〈Sq(t)S?q(O)> averaged over all configurations of random fields decays exponentially in time with a single wavevector dependent relaxation time which is finite at the transition temperature T0 and remains very long below T0. In the mean field approximation the correlation time at the magnetic Bragg peak and at T0 scales with the magnitude of the random field as τ∞h?zh with zh = 1 for d = 2 and for d = 3, respectively. |
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