Stochastic description of the dynamics of the random-exchange Heisenberg chain

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We study the diffusion process in a Heisenberg chain with correlated spatial disorder, with a power spectrum in the momentum space behaving as $k^{-β}$, using a stochastic description. It establishes a direct connection between the fluctuation in the spin-wave density of states and the noise density of states. For continuous ranges of the exponent $β$, we find superdiffusive and ballistic spin-wave motions. Both diffusion exponents predicted by the stochastic procedure agree with the ones calculated using the Hamiltonian dynamics.
6 pages, 4 figures

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/99628

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0308542
 http://arxiv.org/abs/cond-mat/0308542
 PHYSICS LETTERS A 339 (1-2): 33-38 MAY 16 2005
 doi:10.1016/j.physleta.2005.02.059

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