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 · 27 December 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; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: SC0012704

OSTI ID:: 1295203

Report Number(s):: BNL-112211-2016-JA; KB0301020

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Effect of magnetic fields on pairs of oppositely charged particles in ultrarelativistic heavy-ion collisions Ye, Y. J.; Ma, Y. G.; Tang, A. H. Physical Review C, Vol. 99, Issue 4 https://doi.org/10.1103/physrevc.99.044901	journal	April 2019
Magnetohydrodynamics with chiral anomaly: Phases of collective excitations and instabilities Hattori, Koichi; Hirono, Yuji; Yee, Ho-Ung Physical Review D, Vol. 100, Issue 6 https://doi.org/10.1103/physrevd.100.065023	journal	September 2019
Anomalous Maxwell equations for inhomogeneous chiral plasma Gorbar, E. V.; Shovkovy, I. A.; Vilchinskii, S. Physical Review D, Vol. 93, Issue 10 https://doi.org/10.1103/physrevd.93.105028	journal	May 2016
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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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