Linear mode analysis and spin relaxation
نویسندگان
چکیده
In this paper, a detailed analysis on normal modes of the linearized Hermite collision operator is presented, which follows from linearizing spin Boltzmann equation for massive fermions proposed in [Phys. Rev. D 104, 016022 (2021)] with nondiagonal part transition rate neglected and approximating what we got mutilated operator. With assumption total angular momentum conservation, term proven to well describe equilibrium state gives proper interpretation collisional invariants, thus relevant research local polarization. Following familiar fashion as used quantum mechanics, treat problem solving degenerate perturbation calculate dispersion relations intriguing eleven zero modes, form one-to-one correspondence all invariants. We find that results spinless appearing ordinary hydrodynamics are consistent available conclusions textbooks. As spin-related obtain frequencies up second order wave vector relate them dissipation density fluctuation. addition, ratio two relaxation timescales shown function reduced mass, reads based present framework equilibration almost slow far strange quark spins gluon plasma (QGP) concerned.
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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.105.096021