Ideal Spin Hydrodynamics from the Wigner Function Approach
Keyword(s):
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 .
1958 ◽
Vol 54
(1)
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pp. 72-80
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1987 ◽
Vol 02
(05)
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pp. 1591-1615
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1978 ◽
Vol 362
(1711)
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pp. 469-492
Energy-Momentum Tensor and Equations of Motion of Glashow-Salam-Weinberg-Theory in Curved Space-Time
1986 ◽
Vol 34
(3)
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pp. 145-166
Keyword(s):
1948 ◽
Vol 44
(1)
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pp. 76-86
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