Spin-Electromagnetic Hydrodynamics and Magnetization Induced by Spin-Magnetic Interaction

Abstract

The hydrodynamic model including the spin degree of freedom and the electromagnetic field was discussed. In this derivation, we applied electromagnetism for macroscopic medium proposed by Minkowski. For the equation of motion of spin, we assumed that the hydrodynamic representation of the Pauli equation is reproduced when the many-body effect is neglected. Then the spin-magnetic interaction in the Pauli equation was converted to a part of the magnetization. The fluid and spin stress tensors induced by the many-body effect were obtained by employing the algebraic positivity of the entropy production in the framework of the linear irreversible thermodynamics, including the mixing effect of the irreversible currents. We further constructed the constitutive equation of the polarization and the magnetization. Our polarization equation is more reasonable compared to another result obtained using electromagnetism for macroscopic medium proposed by de Groot-Mazur.

24 pages, no figure, the discussion for the modifed thermodynamic relation is added, several errors are corrected, accepted for publication in PRC

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• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Dynamics of spin 1/2 quantum plasmas
• Chiral Magnetic conductivity
• Hydrodynamic Models for Heavy Ion Collisions
• Spin magnetohydrodynamics
• Stability and Causality in relativistic dissipative hydrodynamics
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• Theory of spin magnetohydrodynamics

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