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PreprintCC BY 4.0arXiv

Second-order evolution of spin shear tensor for massive spin-1/2 particles

Abstract

We present the second-order evolution equation for the spin shear component of the spin tensor in spin-polarized fluids, using a classical description of the spin degrees of freedom. Employing a semi-classical kinetic theory for the massive spin-1/2 particles within the relaxation time approximation we obtain a relaxation-type equation describing the evolution of spin shear driven by various thermodynamic forces and high-order gradient corrections. This equation yields a new set of transport coefficients that govern the dynamics of the dissipative spin-shear tensor.

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BibTeX
@misc{panday2026secondorder,
  title = {{Second-order evolution of spin shear tensor for massive spin-1/2 particles}},
  author = {Pushpa Panday and Samapan Bhadury and Sadhana Dash},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03086},
  eprint = {2611.03086},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03086},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Second-order evolution of spin shear tensor for massive spin-1/2 particles
AU  - Pushpa Panday
AU  - Samapan Bhadury
AU  - Sadhana Dash
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03086
UR  - https://arxiv.org/abs/2611.03086
AB  - We present the second-order evolution equation for the spin shear component of the spin tensor in spin-polarized fluids, using a classical description of the spin degrees of freedom. Employing a semi-classical kinetic theory for the massive spin-1/2 particles within the relaxation time approximation we obtain a relaxation-type equation describing the evolution of spin shear driven by various thermodynamic forces and high-order gradient corrections. This equation yields a new set of transport coefficients that govern the dynamics of the dissipative spin-shear tensor.
ER  -