Fate of spin polarization in a relativistic fluid: An entropy-current analysis

Abstract

We derive relativistic hydrodynamic equations with a dynamical spin degree of freedom on the basis of an entropy-current analysis. The first and second laws of local thermodynamics constrain possible structures of the constitutive relations including a spin current and the antisymmetric part of the (canonical) energy-momentum tensor. Solving the obtained hydrodynamic equations within the linear-mode analysis, we find spin-diffusion modes, indicating that spin density is damped out after a characteristic time scale controlled by transport coefficients introduced in the antisymmetric part of the energy-momentum tensor in the entropy-current analysis. This is a consequence of mutual convertibility between spin and orbital angular momentum.

7 pages

References in corpus (2)

• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Theory of spin hydrodynamic generation

Cited by in corpus (9)

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• New developments in relativistic magnetohydrodynamics
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Extensivity, entropy current, area law and Unruh effect
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Spin Boltzmann equation for non-relativistic spin-1/2 fermions
• Entropy current in relativistic quantum statistical mechanics