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Entropy current and entropy production in relativistic spin hydrodynamics

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arxiv 2309.05789 v2 pith:PVWTZK43 submitted 2023-09-11 nucl-th cond-mat.stat-mechhep-th

Entropy current and entropy production in relativistic spin hydrodynamics

classification nucl-th cond-mat.stat-mechhep-th
keywords entropyspintransformationshydrodynamicsproductionrelativisticchangedcurrent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We use a first-principle quantum-statistical method to derive the expression of the entropy production rate in relativistic spin hydrodynamics. We show that the entropy current is not uniquely defined and can be changed by means of entropy-gauge transformations, much the same way as the stress-energy tensor and the spin tensor can be changed with pseudo-gauge transformations. We show that the local thermodynamic relations, which are admittedly educated guesses in relativistic spin hydrodynamics inspired by those at global thermodynamic equilibrium, do not hold in general and they are also non-invariant under entropy-gauge transformations. Notwithstanding, we show that the entropy production rate is independent of those transformations and we provide a universally applicable expression, extending that known in literature, from which one can infer the dissipative parts of the energy momentum and spin tensors.

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Cited by 6 Pith papers

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    nucl-th 2026-05 unverdicted novelty 6.0

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  4. Carroll hydrodynamics with spin

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  5. Radiation in Fluid/Gravity and the Flat Limit

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    Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.

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    nucl-th 2026-05 unverdicted novelty 1.0

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