Is the shear induced spin polarization non-dissipative?

Fuente: arXiv
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Main Authors: Wang, Jia-Rong, Fang, Shuo, Yang, Di-Lun, Pu, Shi
Format: Preprint
Published: 2025
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author Wang, Jia-Rong
Fang, Shuo
Yang, Di-Lun
Pu, Shi
author_facet Wang, Jia-Rong
Fang, Shuo
Yang, Di-Lun
Pu, Shi
contents The shear-induced polarization plays a crucial role in understanding the local polarization of $Λ$ and $\overlineΛ$ hyperons. A key puzzle is whether the shear-induced polarization is non-dissipative or not. In this work, we analyzed the shear-induced polarization and the anomalous Hall effects using the entropy flow and H-theorem introduced from quantum (chiral) kinetic theory. While the shear-induced polarization and the anomalous Hall effect do not directly contribute to the entropy production rate, the perturbations associated with the shear tensor lead to an increase in entropy, similar to the role of the shear tensor in classical kinetic theory. We also examined these effects within the framework of linear response theory using Zubarev's approach. The analysis of time-reversal transformation on the spin current in coordinate space suggests that shear-induced polarization violates time-reversal symmetry and, therefore, should vanish. However, a similar analysis of the Wigner function in phase space does not impose any additional constraints on shear-induced polarization, allowing it to persist in phase space as expected. This discussion indicates that time-reversal analysis in coordinate space alone may not be sufficient to determine whether an effect is dissipative. Furthermore, our analysis based on Zubarev's approach suggests that these effects may indeed possess a dissipative nature. These findings highlight the limitations of the current theoretical framework in fully characterizing the dissipative properties of these phenomena.
format Preprint
id arxiv_https___arxiv_org_abs_2507_15238
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Is the shear induced spin polarization non-dissipative?
Wang, Jia-Rong
Fang, Shuo
Yang, Di-Lun
Pu, Shi
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
The shear-induced polarization plays a crucial role in understanding the local polarization of $Λ$ and $\overlineΛ$ hyperons. A key puzzle is whether the shear-induced polarization is non-dissipative or not. In this work, we analyzed the shear-induced polarization and the anomalous Hall effects using the entropy flow and H-theorem introduced from quantum (chiral) kinetic theory. While the shear-induced polarization and the anomalous Hall effect do not directly contribute to the entropy production rate, the perturbations associated with the shear tensor lead to an increase in entropy, similar to the role of the shear tensor in classical kinetic theory. We also examined these effects within the framework of linear response theory using Zubarev's approach. The analysis of time-reversal transformation on the spin current in coordinate space suggests that shear-induced polarization violates time-reversal symmetry and, therefore, should vanish. However, a similar analysis of the Wigner function in phase space does not impose any additional constraints on shear-induced polarization, allowing it to persist in phase space as expected. This discussion indicates that time-reversal analysis in coordinate space alone may not be sufficient to determine whether an effect is dissipative. Furthermore, our analysis based on Zubarev's approach suggests that these effects may indeed possess a dissipative nature. These findings highlight the limitations of the current theoretical framework in fully characterizing the dissipative properties of these phenomena.
title Is the shear induced spin polarization non-dissipative?
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2507.15238