Propagation of spin channel waves

Abstract

A mutilated model is constructed to approximate the collision term of spin Boltzmann equation that incorporates newly appearing collisional invariants i.e, the total angular momentum. With recourse to degenerate perturbation theory, the dispersion relations of hydrodynamic modes are formulated, among which spin modes are responsible for spin equilibration. We find that the non-locality does not change the sound speed but slows down the propagation of spin channel waves. The damping rates of spin modes are close to those of spinless modes over a reasonable parameter value range. The results reveal that both spin and momentum should be treated simultaneously in a unified transport framework. In the nonrelativistic limit, the short-wavelength behavior for normal modes is also explored and there exists a critical point for every distinct discrete mode over which only quasiparticle modes contribute.

arXiv commentTypos corrected, the version published in PRD

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• Cross effects in spin hydrodynamics: A revisit Entropy analysis and statistical operator
• Relaxation time approximation revisited and non-analytical structure in retarded correlators
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• Relaxation Time Approximation for a multi-species relativistic gas
• Normal mode analysis within relativistic massive transport