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Causality and stability analysis for the minimal causal spin hydrodynamics
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We perform the linear analysis of causality and stability for a minimal extended spin hydrodynamics up to second order of the gradient expansion. The first order spin hydrodynamics, with a rank-3 spin tensor being antisymmetric for only the last two indices, are proved to be acausal and unstable. We then consider the minimal causal spin hydrodynamics up to second order of the gradient expansion. We derive the necessary causality and stability conditions for this minimal causal spin hydrodynamics. Interestingly, the satisfaction of the stability conditions relies on the equations of state for the spin density and chemical potentials. Moreover, different with the conventional relativistic dissipative hydrodynamics, the stability of the theory seems to be broken at the finite wave-vector when the stability conditions are fulfilled at small and large wave-vector limits. It implies that the behavior in small and large wave-vector limits may be insufficient to determine the stability conditions for spin hydrodynamics in linear mode analysis.
Forward citations
Cited by 4 Pith papers
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Relativistic spin hydrodynamics with antisymmetric spin tensors and an extension of the Bargmann-Michel-Telegdi equation
A new entropy-principle formulation of relativistic spin hydrodynamics yields a modified BMT spin evolution equation and spin-induced transport corrections that map onto inverse and anomalous Hall effects.
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Local spin polarization of $\Lambda$ hyperons and its interaction corrections
The CLVisc hydrodynamic model reproduces the second sine Fourier coefficient of Lambda longitudinal polarization in Au+Au collisions but fails in p+Pb collisions; the paper also surveys quantum kinetic theory and spin...
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Spin hydrodynamics
The paper proposes a hybrid perfect and dissipative spin hydrodynamics built on generalized tensor thermodynamic relations, but it contains no new derivation beyond the cited prior works.
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An introduction to relativistic spin hydrodynamics
A review that derives the constitutive equations of relativistic spin hydrodynamics from thermodynamics and surveys challenges like pseudo-gauge ambiguity and spin freeze-out.
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