关于自旋流“热”部分的物态方程：冷费米子系统自旋波谱中的泡利原理贡献
On equation of state for the "thermal" part of the spin current: Pauli principle contribution in the spin wave spectrum in cold fermion system
摘要：
自旋演化为量子等离子体研究开辟了一个广阔的领域。等离子体中的自旋波是自旋1/2量子等离子体中的新现象。用多粒子量子流体力学方法建立的自旋密度演化方程表明存在自旋流的“热”部分，它类似于欧拉方程中存在的热压力或简并电子气的费米压力。然而，这一项已经被删除，因为还没有发现任何状态方程的热部分的自旋电流（TPSC），我们有压力。本文导出了TPSC的状态方程，并将其应用于自旋为1/2的量子等离子体的集体激发谱的研究。我们把我们的研究集中在自旋波的频谱上，因为这个频谱受到自旋流的热部分的影响。我们考虑了两种等离子体：电子-离子等离子体和简并电子-正电子等离子体。我们还提出了非线性泡利方程的旋量压力项包含描述的影响。本文还导出了存在于自旋流演化方程中的自旋流通量的热部分。我们还考虑了TPSC在大广义涡度演化中的贡献。
英文摘要：
Spin evolution opened a large field in quantum plasma research. The spin waves in plasmas were considered among new phenomena considered in spin-1/2 quantum plasmas. The spin density evolution equation found by means of the many-particle quantum hydrodynamics shows existence of the "thermal" part of the spin current, which is an analog of the thermal pressure, or the Fermi pressure for degenerate electron gas, existing in the Euler equation. However, this term has been dropped, since there has not been found any equation of state for the thermal part of the spin current (TPSC), like we have for the pressure. In this paper we derive the equation of state for the TPSC and apply it for study of spectrum of collective excitations in spin-1/2 quantum plasmas. We focus our research on the spectrum of spin waves, since this spectrum is affected by the thermal part of the spin current. We consider two kinds of plasmas: electron-ion plasma with motionless ions and degenerate electrons, and degenerate electron-positron plasmas. We also present the non-linear Pauli equation with the spinor pressure term containing described effects. The thermal part of the flux of spin current existing in the spin current evolution equation is also derived. We also consider the contribution of the TPSC in the grand generalized vorticity evolution.
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