Theory of hydrodynamic spin waves

Physics

Scientific paper

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Scientific paper

A microscopic theory is developed using a nonequilibrium density matrix method. The real part of the frequency and the damping rate of hydrodynamic spin waves are calculated for Heisenberg ferromagnet. These results for damping rates are new, and disagree with previous microscopic and phenomenological calculations. It is shown that approach to local equilibrium is caused by the chaotization of local spins due to thermal fluctuations of the internal exchange magnetic field. The corresponding relaxation time is calculated and temperature and wave vectors limits for existence of hydrodynamic regime is determined. It is shown that all spin waves with macroscopic wavelengths are hydrodynamic ones.

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