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Title: Magnetohydrodynamics with chiral anomaly: Phases of collective excitations and instabilities

Abstract

We study relativistic hydrodynamics with chiral anomaly and dynamical electromagnetic fields, namely chiral magnetohydrodynamics (CMHD). We formulate CMHD as a low-energy effective theory based on a generalized derivative expansion. We demonstrate that the modification of ordinary magnetohydrodynamics (MHD) due to chiral anomaly can be obtained from the second law of thermodynamics and is tied to the chiral magnetic effect. We further study the real-time properties of a chiral fluid by solving linearized CMHD equations. We discover a remarkable “transition” at an intermediate axial chemical potential μA between a stable chiral fluid at low μA and an unstable chiral fluid at high μA. We summarize this transition in a “phase diagram” in terms of μA and the angle of the wave vector relative to the magnetic field. In the unstable regime, four collective modes carry both magnetic and fluid helicity, in contrary to MHD waves, which are unpolarized. Half of the helical modes grow exponentially in time, indicating the instability, while the other half become dissipative.

Authors:
; ; ; ORCiD logo
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of Illinois at Urbana-Champaign, IL (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1566896
Alternate Identifier(s):
OSTI ID: 1611586
Grant/Contract Number:  
SC0012704; SC0018209; SC0011090
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 6; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Astronomy & Astrophysics; Physics; Magnetohydrodynamics; Relativistic heavy-ion collisions

Citation Formats

Hattori, Koichi, Hirono, Yuji, Yee, Ho-Ung, and Yin, Yi. Magnetohydrodynamics with chiral anomaly: Phases of collective excitations and instabilities. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.065023.
Hattori, Koichi, Hirono, Yuji, Yee, Ho-Ung, & Yin, Yi. Magnetohydrodynamics with chiral anomaly: Phases of collective excitations and instabilities. United States. https://doi.org/10.1103/PhysRevD.100.065023
Hattori, Koichi, Hirono, Yuji, Yee, Ho-Ung, and Yin, Yi. Thu . "Magnetohydrodynamics with chiral anomaly: Phases of collective excitations and instabilities". United States. https://doi.org/10.1103/PhysRevD.100.065023.
@article{osti_1566896,
title = {Magnetohydrodynamics with chiral anomaly: Phases of collective excitations and instabilities},
author = {Hattori, Koichi and Hirono, Yuji and Yee, Ho-Ung and Yin, Yi},
abstractNote = {We study relativistic hydrodynamics with chiral anomaly and dynamical electromagnetic fields, namely chiral magnetohydrodynamics (CMHD). We formulate CMHD as a low-energy effective theory based on a generalized derivative expansion. We demonstrate that the modification of ordinary magnetohydrodynamics (MHD) due to chiral anomaly can be obtained from the second law of thermodynamics and is tied to the chiral magnetic effect. We further study the real-time properties of a chiral fluid by solving linearized CMHD equations. We discover a remarkable “transition” at an intermediate axial chemical potential μA between a stable chiral fluid at low μA and an unstable chiral fluid at high μA. We summarize this transition in a “phase diagram” in terms of μA and the angle of the wave vector relative to the magnetic field. In the unstable regime, four collective modes carry both magnetic and fluid helicity, in contrary to MHD waves, which are unpolarized. Half of the helical modes grow exponentially in time, indicating the instability, while the other half become dissipative.},
doi = {10.1103/PhysRevD.100.065023},
journal = {Physical Review D},
number = 6,
volume = 100,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.100.065023

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Cited by: 2 works
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