Linear mode analysis from spin transport equation

نویسندگان

چکیده

We provide a linear analysis on normal modes of the spin Boltzmann equation proposed by Weickgenannt et al. [Phys. Rev. D 104, 016022 (2021)], where nondiagonal or polarized part transition rate is neglected to ensure Hermitian property linearized collision operator. As an instrumental element kinetic theory, conservation total angular momentum explicitly considered; thus, our relevant recent investigation issue local polarization. By treating operator as evolution operator, solving turns out be degenerate perturbation problem in quantum mechanics. The dispersion relations spinless are accordance with well-known calculations, while frequencies also determined up second-order wave vectors; expressions only formal solutions further determined. Moreover, relaxation density related mode analysis, which shall play big role investigating issues polarization relativistic heavy-ion collisions.

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ژورنال

عنوان ژورنال: Physical review

سال: 2022

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.106.036004