Boost invariant spin hydrodynamics within the first order in derivative expansion

Abstract

Boost-invariant equations of spin hydrodynamics confined to the first-order terms in gradients are numerically solved. The spin equation of state, relating the spin density tensor to the spin chemical potential, is consistently included in the first order. Depending on its form and the structure of the spin transport coefficients, we find solutions which are both stable and unstable within the considered evolution times of 10 fm/c. These findings are complementary to the recent identification of stable and unstable modes for perturbed uniform spin systems described by similar hydrodynamic frameworks.

arXiv comment11 pages, 3 figures. Comments are welcome

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• Canonical and phenomenological formulations of spin hydrodynamics
• Hybrid approach to perfect and dissipative spin hydrodynamics
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• Boost-invariant spin hydrodynamics with spin feedback effects
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• Hybrid framework of Fermi-Dirac spin hydrodynamics