vix.ing · top · new · best · stats

On equation of state for the "thermal" part of the spin current: Pauli principle contribution in the spin wave spectrum in cold fermion system

2015/10/12 by Pavel A. Andreev, Andreev, Pavel A., L. S. Kuz’menkov +2 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dust and Plasma Wave Phenomena #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Optical properties and cooling technologies in crystalline materials #Plasma Physics (physics.plasm-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.mes-hall #cond-mat.stat-mech #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1510.03468

16 pages, 5 figures

arxiv created 2015/10/12 · openalex publication_date 2015/10/12 · arxiv updated 2015/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

Related