Dynamics of dilute spin systems in random fluctuating magnetic fields

V.R. Chechetkin and V.S. Lutovinov

Physica A: Statistical Mechanics and its Applications, 1987, vol. 145, issue 3, 498-532

Abstract: The problem of stochastic evolution of dilute spins in a randomly fluctuating environment is considered within the frameworks of the Schrödinger equation with Gaussian fluctuating magnetic fields. The evolution equations for the averaged correlators are derived and it is shown that the density matrix of a spin system coupled with the thermoequilibrium fluctuations of fields tends asymptotically with time to the thermodynamic density matrix. The general results are illustrated by examples of coupling with magnons, phonons, and relaxation in paramagnetics. The evolution of spins in artificial high-frequency stochastic fields (Simonius' effect) is also considered. The high-temperature limit and the limit of classical spins are considered separately and the applicability of the Bloch equations is discussed. Then the results are generalized to the single-ion anisotropy and movable spins. Finally, it is shown how the results can be generalized to multi-spin systems.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:145:y:1987:i:3:p:498-532

DOI: 10.1016/0378-4371(87)90006-9

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