Saved in:
Bibliographic Details
Main Authors: Wang, Shuai, Hattori, Koichi, Huang, Xu-Guang, Sadofyev, Andrey V.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.17441
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866910888703819776
author Wang, Shuai
Hattori, Koichi
Huang, Xu-Guang
Sadofyev, Andrey V.
author_facet Wang, Shuai
Hattori, Koichi
Huang, Xu-Guang
Sadofyev, Andrey V.
contents We revisit the collective modes of chiral matter described by the second-order chiral hydrodynamics, noticing that chiral shear waves (CSWs) may become unstable for momenta above a characteristic scale. In the absence of sufficient dissipation, this instability emerges within the hydrodynamic regime, depending on the interplay between shear viscosity and the anomalous vortical contribution to the stress-energy tensor at second order in hydrodynamic expansion. We show that this instability generates helical flows and name it the {\it chiral vortical instability} (CVI). Alongside the chiral plasma and magnetovortical instabilities, CVI tends to transfer initial microscopic chirality into macroscopic helicities, which combine into a generalized axial charge. We further find that an elementary static Gromeka-Arnold-Beltrami-Childress flow, corresponding to a CSW at a specific momentum, solves the full nonlinear equations of second-order chiral hydrodynamics, whereas global rotation of a chiral medium is not a solution. This observation supports the relevance of CVI beyond the hydrodynamic regime. Finally, we briefly note that CVI may have multiple phenomenological implications across various systems, including QCD matter produced in heavy-ion collisions and primordial plasma in the early Universe.
format Preprint
id arxiv_https___arxiv_org_abs_2503_17441
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chiral Vortical Instability
Wang, Shuai
Hattori, Koichi
Huang, Xu-Guang
Sadofyev, Andrey V.
High Energy Physics - Theory
High Energy Physics - Phenomenology
Nuclear Theory
We revisit the collective modes of chiral matter described by the second-order chiral hydrodynamics, noticing that chiral shear waves (CSWs) may become unstable for momenta above a characteristic scale. In the absence of sufficient dissipation, this instability emerges within the hydrodynamic regime, depending on the interplay between shear viscosity and the anomalous vortical contribution to the stress-energy tensor at second order in hydrodynamic expansion. We show that this instability generates helical flows and name it the {\it chiral vortical instability} (CVI). Alongside the chiral plasma and magnetovortical instabilities, CVI tends to transfer initial microscopic chirality into macroscopic helicities, which combine into a generalized axial charge. We further find that an elementary static Gromeka-Arnold-Beltrami-Childress flow, corresponding to a CSW at a specific momentum, solves the full nonlinear equations of second-order chiral hydrodynamics, whereas global rotation of a chiral medium is not a solution. This observation supports the relevance of CVI beyond the hydrodynamic regime. Finally, we briefly note that CVI may have multiple phenomenological implications across various systems, including QCD matter produced in heavy-ion collisions and primordial plasma in the early Universe.
title Chiral Vortical Instability
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2503.17441