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Hydrodynamic modes in a gas of magnons

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Physik der kondensierten Materie

Abstract

Density waves analogous to second sound are studied in a gas of magnons. Quasiparticle interaction is considered for both equilibrium and non equilibrium thermodynamics. The non equilibrium theory is based on a Boltzmann equation for magnon-magnon scattering. Contrary to the total energy and magnetization, (quasi)-momentum is not strictly conserved. In the hydrodynamic regime, the transport equation is reduced to a set of two coupled equations for the magnetization and the local temperature. For low temperatures these have diffusive and propagating solutions while for high temperatures, where momentum is dissipated by Umklapp processes, the solutions are only diffusive. The magnetization response function and the corresponding spectral function are discussed for various wavenumbers and temperatures.

Zusammenfassung

Hydrodynamische Anregungen in einem Gas von Magnonen, insbesondere zweiter Schall, werden theoretisch untersucht. Die Landau-Quasiteilchen-Wechselwirkung wird systematisch berücksichtigt. Im hydrodynamischen Regime erhält man zwei gekoppelte Gleichungen für die Magnetisierung und für die lokale Temperatur. Bei tiefer Temperatur hat das System diffusive und propagierende Lösungen, bei hoher Temperatur nur diffusive Lösungen.

Résumé

On étudie les excitations hydrodynamiques, en particulier le deuxième son, pour un gaz de magnons. L'interaction de Landau entre quasiparticules est traitée d'une façon systématique. Dans le régime hydrodynamique on obtient deux équations couplées pour la magnétisation et la température locale. A basse température le système possède des solutions diffusives et des solutions oscillantes, à haute température seulement les solutions diffusives subsistent.

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Author notes

  1. F. Schwabl

    Present address: Institut für theoretische Physik, Universität Wien, Wien

Authors and Affiliations

  1. Institut Max von Laue-Paul Langevin, Reaktorgelände, D-8046, Garching bei München

    K. H. Michel & F. Schwabl

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  1. K. H. Michel
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  2. F. Schwabl
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Michel, K.H., Schwabl, F. Hydrodynamic modes in a gas of magnons. Phys kondens Materie 11, 144–162 (1970). https://doi.org/10.1007/BF02422482

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  • DOI: https://doi.org/10.1007/BF02422482

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