Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81307
Type: Artigo de periódico
Title: Long time tails in the dynamics of the spatially inhomogeneous magnetization of dimerized isotropic XY chains for spin s=1/2
Author: Berim, GO
Cabrera, GG
Abstract: Exact results for the dynamics of the spatially inhomogeneous magnetization (SIM) in the one-dimensional dimerized isotropic XY model are obtained, and the long-time behavior of SIM is considered in detail. It is shown that in the asymptotic limit t --> infinity, the time dependence of SIM can be represented as a sum of several components oscillating at different frequencies. Amplitudes of these components decrease according to the (t/tau)(-v) power law. It is shown that both, the inverse of the time scale tau(-1) and the exponent v, have critical-like behavior with respect to the wave-vector Q characterizing the spatial inhomogeneity of the initial state. The value of tau(-1) goes to zero at \Q\ --> Q(ci), where Q(ci) (i = 1, 2, 3) are critical values of Q determined by parameters of the main Hamiltonian only. Just at points Q(c1), Q(c2), the exponent v changes its value discontinuously from v = 1/2 to v = 1/4. This effect is very similar to the critical slowing down phenomena in phase transitions. Due to the long-time tails in the relaxation process, we critically discuss the validity of the spin temperature assumption in spin systems.
Subject: one-dimensional dimerized XY model
inhomogeneous initial state
dynamics
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/S0378-4371(96)00458-X
Date Issue: 1997
Appears in Collections:Unicamp - Artigos e Outros Documentos

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