Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly

Hirono, Yuji; Kharzeev, Dmitri E.; Yin, Yi

doi:10.1103/PhysRevD.92.125031

Title: Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly

Journal Article · Mon Dec 28 00:00:00 EST 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.92.125031· OSTI ID:1295203

Hirono, Yuji ^[1]; Kharzeev, Dmitri E. ^[2]; Yin, Yi ^[3]

Stony Brook Univ., Stony Brook, NY (United States)
Stony Brook Univ., Stony Brook, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States)

For systems with charged chiral fermions, the imbalance of chirality in the presence of magnetic field generates an electric current—this is the chiral magnetic effect (CME). We study the dynamical real-time evolution of electromagnetic fields coupled by the anomaly to the chiral charge density and the CME current by solving the Maxwell-Chern-Simons equations. We find that the CME induces the inverse cascade of magnetic helicity toward the large distances, and that at late times this cascade becomes self-similar, with universal exponents. We also find that in terms of gauge field topology the inverse cascade represents the transition from linked electric and magnetic fields (Hopfions) to the knotted configuration of magnetic field (Chandrasekhar-Kendall states). The magnetic reconnections are accompanied by the pulses of the CME current directed along the magnetic field lines. In conclusion, we devise an experimental signature of these phenomena in heavy ion collisions, and speculate about implications for condensed matter systems.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC00112704; FG-88ER40388; SC0012704

OSTI ID:: 1295203

Alternate ID(s):: OSTI ID: 1234015

Report Number(s):: BNL-112211-2016-JA; R&D Project: KB0301020; KB0301020

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 92, Issue 12; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 79 works

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Laminar and Turbulent Dynamos in Chiral Magnetohydrodynamics. I. Theory Rogachevskii, Igor; Ruchayskiy, Oleg; Boyarsky, Alexey The Astrophysical Journal, Vol. 846, Issue 2 https://doi.org/10.3847/1538-4357/aa886b	journal	September 2017
Laminar and Turbulent Dynamos in Chiral Magnetohydrodynamics. II. Simulations Schober, Jennifer; Rogachevskii, Igor; Brandenburg, Axel The Astrophysical Journal, Vol. 858, Issue 2 https://doi.org/10.3847/1538-4357/aaba75	journal	May 2018
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Magnetic fields in heavy ion collisions: flow and charge transport Inghirami, Gabriele; Mace, Mark; Hirono, Yuji GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt https://doi.org/10.15120/gsi-2021-00660	text	January 2020
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Dynamics of vortices in chiral media: the chiral propulsion effect Hirono, Yuji; Kharzeev, Dmitri E.; Sadofyev, Andrey V. arXiv https://doi.org/10.48550/arxiv.1803.00381	text	January 2018
Chiral magnetohydrodynamic turbulence in core-collapse supernovae Masada, Youhei; Kotake, Kei; Takiwaki, Tomoya arXiv https://doi.org/10.48550/arxiv.1805.10419	text	January 2018
Magnetic fields in heavy ion collisions: flow and charge transport Inghirami, Gabriele; Mace, Mark; Hirono, Yuji arXiv https://doi.org/10.48550/arxiv.1908.07605	text	January 2019

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