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Ideal Spin Hydrodynamics from the Wigner Function Approach

Hao-Hao Peng
(
- Hefei, CUST and
- PCFT, Hefei
)
,
Jun-Jie Zhang
(
- Northwest Inst. Nucl. Tech., Xian
)
,
Xin-Li Sheng
(
- CCNU, Wuhan, Inst. Part. Phys. and
- Hua-Zhong Normal U., LQLP
)
,
Qun Wang
(
- Hefei, CUST and
- PCFT, Hefei
)

Jul 1, 2021

8 pages

Published in:

Chin.Phys.Lett. 38 (2021) 11, 116701

Published: 2021

e-Print:

2107.00448 [hep-th]

DOI:

10.1088/0256-307X/38/11/116701

View in:

ADS Abstract Service

reference search69 citations

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Abstract: (IOP)

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.

Note:

8 pages, no figure

tensor: energy-momentum
current: density
spin: tensor
moment: dipole
higher-order: 1
spin: 1/2
statistics: quantum
Wigner
hydrodynamics
space-time

References(78)

Figures(0)

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