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arXiv:1206.1976v2 (physics)
[Submitted on 9 Jun 2012 (v1) , revised 18 Nov 2012 (this version, v2) , latest version 22 Feb 2013 (v3) ]

Title: Spin-Electromagnetic Hydrodynamics and Magnetization Induced by Spin-Magnetic Interaction

Title: 自旋-电磁流体力学和由自旋-磁相互作用引起的磁化

Authors:T. Koide
Abstract: The hydrodynamic model including the spin degree of freedom and the electromagnetic field was discussed. In this derivation, we applied electromagnetism for macroscopic medium proposed by Minkowski. For the equation of motion of spin, we assumed that the hydrodynamic representation of the Pauli equation is reproduced when the many-body effect is neglected. Then the spin-magnetic interaction in the Pauli equation was converted to a part of the magnetization. The fluid and spin stress tensors induced by the many-body effect were obtained by employing the algebraic positivity of the entropy production in the framework of the linear irreversible thermodynamics, including the mixing effect of the irreversible currents. We further constructed the constitutive equation of the polarization and the magnetization. Our polarization equation is more reasonable compared to another result obtained using electromagnetism for macroscopic medium proposed by de Groot-Mazur.
Abstract: 包含自旋自由度和电磁场的水动力学模型被讨论了。 在这一推导中,我们应用了由Minkowski提出的宏观介质的电磁理论。 对于自旋的运动方程,我们假设当忽略多体效应时,泡利方程的水动力学表示被重现。 然后,泡利方程中的自旋-磁相互作用被转化为磁化的一部分。 通过采用线性不可逆热力学框架中熵产生代数正性,包括不可逆电流的混合效应,得到了由多体效应引起的流体和自旋应力张量。 我们进一步构建了极化和磁化的本构方程。 与使用de Groot-Mazur提出的宏观介质电磁理论得到的另一个结果相比,我们的极化方程更加合理。
Comments: 23 pages, no figure, several errors were corrected
Subjects: Fluid Dynamics (physics.flu-dyn) ; Statistical Mechanics (cond-mat.stat-mech); Nuclear Theory (nucl-th)
Cite as: arXiv:1206.1976 [physics.flu-dyn]
  (or arXiv:1206.1976v2 [physics.flu-dyn] for this version)
  https://doi.org/10.48550/arXiv.1206.1976
arXiv-issued DOI via DataCite

Submission history

From: Tomoi Koide [view email]
[v1] Sat, 9 Jun 2012 21:52:44 UTC (15 KB)
[v2] Sun, 18 Nov 2012 20:13:05 UTC (16 KB)
[v3] Fri, 22 Feb 2013 20:00:59 UTC (17 KB)
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