Hydrodynamics with Spin --- Recent Developments

Florkowski, Wojciech

doi:10.5506/aphyspolb.50.1047

Cited by 2 publications

(1 citation statement)

References 40 publications

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“…The spin hydrodynamics was proposed many years ago [25]. Recent developments in the relativistic hydrodynamics include the effective theory approach [26][27][28], the derivation using the local equilibrium distribution functions [29][30][31][32] introduced in [9]. The second order hydrodynamical equations can be derived in many approaches, such as the generating function method [33], relaxation time approximation [34,35], and entropy current analysis based on the second law of thermodynamics [36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Ideal spin hydrodynamics from Wigner function approach

Peng,

Zhang,

Sheng

et al. 2021

Preprint

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Based on the Wigner function in local equilibrium, we derive hydrodynamical quantities for a system of polarized spin-1/2 particles: the particle number current density, the energy-momentum tensor, the spin tensor, and the dipole moment tensor. Comparing with ideal hydrodynamics without spin, additional terms at first and second order in space-time gradient have been derived. The Wigner function can be expressed in terms of matrix-valued distributions, whose equilibrium forms are characterized by thermodynamical parameters in quantum statistics. The equations of motions for these parameters are derived by conservation laws at the leading and next-to-leading order in space-time gradient.

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Section: Introductionmentioning

confidence: 99%

Ideal spin hydrodynamics from Wigner function approach

Peng,

Zhang,

Sheng

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

Ideal Spin Hydrodynamics from the Wigner Function Approach

Peng¹,

Zhang²,

Sheng³

et al. 2021

Chinese Phys. Lett.

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Based on the Wigner function in local equilibrium, we derive hydrodynamical quantities for a system of polarized spin-1/2 particles: the particle number current density, the energy-momentum tensor, the spin tensor, and the dipole moment tensor. Compared with ideal hydrodynamics without spin, additional terms at the first and second orders in the Knudsen number Kn and the average spin polarization χs have been derived. The Wigner function can be expressed in terms of matrix-valued distributions, whose equilibrium forms are characterized by thermodynamical parameters in quantum statistics. The equations of motion for these parameters are derived by conservation laws at the leading and next-to-leading order Kn and χs .

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Hydrodynamics with Spin --- Recent Developments

Abstract: Recent theoretical developments in hydrodynamics of particles with spin 1 /2 are briefly reviewed.

Cited by 2 publications

References 40 publications

Ideal spin hydrodynamics from Wigner function approach

Ideal spin hydrodynamics from Wigner function approach

Ideal Spin Hydrodynamics from the Wigner Function Approach

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