Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly
Abstract
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.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1295203
- Alternate Identifier(s):
- OSTI ID: 1234015
- Report Number(s):
- BNL-112211-2016-JA
Journal ID: ISSN 1550-7998; R&D Project: KB0301020; KB0301020
- Grant/Contract Number:
- SC00112704; FG-88ER40388; SC0012704
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 12; Journal ID: ISSN 1550-7998
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Hirono, Yuji, Kharzeev, Dmitri E., and Yin, Yi. Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly. United States: N. p., 2015.
Web. doi:10.1103/PhysRevD.92.125031.
Hirono, Yuji, Kharzeev, Dmitri E., & Yin, Yi. Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly. United States. https://doi.org/10.1103/PhysRevD.92.125031
Hirono, Yuji, Kharzeev, Dmitri E., and Yin, Yi. 2015.
"Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly". United States. https://doi.org/10.1103/PhysRevD.92.125031. https://www.osti.gov/servlets/purl/1295203.
@article{osti_1295203,
title = {Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly},
author = {Hirono, Yuji and Kharzeev, Dmitri E. and Yin, Yi},
abstractNote = {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.},
doi = {10.1103/PhysRevD.92.125031},
url = {https://www.osti.gov/biblio/1295203},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 12,
volume = 92,
place = {United States},
year = {Mon Dec 28 00:00:00 EST 2015},
month = {Mon Dec 28 00:00:00 EST 2015}
}
Web of Science
Works referenced in this record:
Chiral magnetic effect
journal, October 2008
- Fukushima, Kenji; Kharzeev, Dmitri E.; Warringa, Harmen J.
- Physical Review D, Vol. 78, Issue 7
The Chiral Magnetic Effect and anomaly-induced transport
journal, March 2014
- Kharzeev, Dmitri E.
- Progress in Particle and Nuclear Physics, Vol. 75
Anomalous transport effects and possible environmental symmetry ‘violation’ in heavy-ion collisions
journal, May 2015
- Liao, Jinfeng
- Pramana, Vol. 84, Issue 5
Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
journal, April 2015
- Miransky, Vladimir A.; Shovkovy, Igor A.
- Physics Reports, Vol. 576
Topology, Magnetic Field, and Strongly Interacting Matter
journal, October 2015
- Kharzeev, Dmitri E.
- Annual Review of Nuclear and Particle Science, Vol. 65, Issue 1
A Theorem on Force-Free Magnetic Fields
journal, June 1958
- Woltjer, L.
- Proceedings of the National Academy of Sciences, Vol. 44, Issue 6
The degree of knottedness of tangled vortex lines
journal, January 1969
- Moffatt, H. K.
- Journal of Fluid Mechanics, Vol. 35, Issue 1
Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma
journal, June 2015
- Tuchin, Kirill
- Physical Review C, Vol. 91, Issue 6
Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma
journal, October 2015
- Manuel, Cristina; Torres-Rincon, Juan M.
- Physical Review D, Vol. 92, Issue 7
Comments about the electromagnetic field in heavy-ion collisions
journal, September 2014
- McLerran, L.; Skokov, V.
- Nuclear Physics A, Vol. 929
Creation and evolution of magnetic helicity
journal, April 2000
- Jackiw, R.; Pi, So-Young
- Physical Review D, Vol. 61, Issue 10
Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly
journal, August 1997
- Joyce, M.; Shaposhnikov, M.
- Physical Review Letters, Vol. 79, Issue 7
Self-Consistent Evolution of Magnetic Fields and Chiral Asymmetry in the Early Universe
journal, January 2012
- Boyarsky, Alexey; Fröhlich, Jürg; Ruchayskiy, Oleg
- Physical Review Letters, Vol. 108, Issue 3
Magnetohydrodynamics of chiral relativistic fluids
journal, August 2015
- Boyarsky, Alexey; Fröhlich, Jürg; Ruchayskiy, Oleg
- Physical Review D, Vol. 92, Issue 4
Chiral effects and cosmic magnetic fields
journal, November 2012
- Tashiro, Hiroyuki; Vachaspati, Tanmay; Vilenkin, Alexander
- Physical Review D, Vol. 86, Issue 10
The topological properties of magnetic helicity
journal, October 1984
- Berger, Mitchell A.; Field, George B.
- Journal of Fluid Mechanics, Vol. 147, Issue -1
Helicity and the Calugareanu Invariant
journal, November 1992
- Moffatt, H. K.; Ricca, R. L.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 439, Issue 1906
Introduction to magnetic helicity
journal, December 1999
- Berger, Mitchell A.
- Plasma Physics and Controlled Fusion, Vol. 41, Issue 12B
Quantum field theory and the Jones polynomial
journal, September 1989
- Witten, Edward
- Communications in Mathematical Physics, Vol. 121, Issue 3
A topological theory of the electromagnetic field
journal, August 1989
- Ra�ada, Antonio F.
- Letters in Mathematical Physics, Vol. 18, Issue 2
Chiral magnetic conductivity
journal, August 2009
- Kharzeev, Dmitri E.; Warringa, Harmen J.
- Physical Review D, Vol. 80, Issue 3
On Force-Free Magnetic Fields.
journal, July 1957
- Chandrasekhar, S.; Kendall, P. C.
- The Astrophysical Journal, Vol. 126
Chiral Plasma Instabilities
journal, August 2013
- Akamatsu, Yukinao; Yamamoto, Naoki
- Physical Review Letters, Vol. 111, Issue 5
Linked and knotted beams of light
journal, August 2008
- Irvine, William T. M.; Bouwmeester, Dirk
- Nature Physics, Vol. 4, Issue 9
New knotted solutions of Maxwell's equations
journal, June 2015
- Hoyos, Carlos; Sircar, Nilanjan; Sonnenschein, Jacob
- Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 25
Fluctuations of conserved charges at finite temperature from lattice QCD
journal, January 2012
- Borsányi, Szabolcs; Fodor, Zoltán; Katz, Sándor D.
- Journal of High Energy Physics, Vol. 2012, Issue 1
Fluctuations and correlations of net baryon number, electric charge, and strangeness: A comparison of lattice QCD results with the hadron resonance gas model
journal, August 2012
- Bazavov, A.; Bhattacharya, Tanmoy; DeTar, C. E.
- Physical Review D, Vol. 86, Issue 3
Universality of Plasmon Excitations in Dirac Semimetals
journal, December 2015
- Kharzeev, Dmitri E.; Pisarski, Robert D.; Yee, Ho-Ung
- Physical Review Letters, Vol. 115, Issue 23
On Force-Free Magnetic Fields
journal, April 1958
- Chandrasekhar, S.; Woltjer, L.
- Proceedings of the National Academy of Sciences, Vol. 44, Issue 4
Fluctuations of conserved charges at finite temperature from lattice QCD
journal, April 2013
- Krieg, S.; Borsanyi, S.; Fodor, Z.
- Journal of Physics: Conference Series, Vol. 432
Topologically induced local P and CP violation in QCD x QED
text, January 2009
- Kharzeev, Dmitri E.
- arXiv
Self-consistent evolution of magnetic fields and chiral asymmetry in the early Universe
text, January 2011
- Boyarsky, Alexey; Froehlich, Juerg; Ruchayskiy, Oleg
- arXiv
Chiral Effects and Cosmic Magnetic Fields
text, January 2012
- Tashiro, Hiroyuki; Vachaspati, Tanmay; Vilenkin, Alexander
- arXiv
The Chiral Magnetic Effect and Anomaly-Induced Transport
text, January 2013
- Kharzeev, Dmitri E.
- arXiv
Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma
text, January 2014
- Tuchin, Kirill
- arXiv
Universality of plasmon excitations in Dirac semimetals
text, January 2014
- Kharzeev, Dmitri E.; Pisarski, Robert D.; Yee, Ho-Ung
- arXiv
Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma
text, January 2015
- Manuel, Cristina; Torres-Rincon, Juan M.
- arXiv
New knotted solutions of Maxwell's equations
text, January 2015
- Hoyos, Carlos; Sircar, Nilanjan; Sonnenschein, Jacob
- arXiv
Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly
text, January 1997
- Joyce, M.; Shaposhnikov, M.
- arXiv
Works referencing / citing this record:
Status of the chiral magnetic effect and collisions of isobars
journal, June 2017
- Koch, Volker; Schlichting, Soeren; Skokov, Vladimir
- Chinese Physics C, Vol. 41, Issue 7
Magnetic fields in heavy ion collisions: flow and charge transport
journal, March 2020
- Inghirami, Gabriele; Mace, Mark; Hirono, Yuji
- The European Physical Journal C, Vol. 80, Issue 3
Baryogenesis from axion inflation
text, January 2019
- Domcke, Valerie; Von Harling, Benedict; Morgante, Enrico
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Laminar and Turbulent Dynamos in Chiral Magnetohydrodynamics. I. Theory
journal, September 2017
- Rogachevskii, Igor; Ruchayskiy, Oleg; Boyarsky, Alexey
- The Astrophysical Journal, Vol. 846, Issue 2
Laminar and Turbulent Dynamos in Chiral Magnetohydrodynamics. II. Simulations
journal, May 2018
- Schober, Jennifer; Rogachevskii, Igor; Brandenburg, Axel
- The Astrophysical Journal, Vol. 858, Issue 2
Baryogenesis from axion inflation
text, January 2019
- Domcke, Valerie; Harling, Benedict Von; Morgante, Enrico
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Baryogenesis from axion inflation
text, January 2019
- Domcke, Valerie Fiona; Harling, Benedict; Mukaida, Kyohei
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Magnetic fields in heavy ion collisions: flow and charge transport
text, January 2020
- Inghirami, Gabriele; Mace, Mark; Hirono, Yuji
- GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt
Laminar and turbulent dynamos in chiral magnetohydrodynamics-I: Theory
text, January 2017
- Rogachevskii, I.; Ruchayskiy, O.; Boyarsky, A.
- arXiv
Dynamics of vortices in chiral media: the chiral propulsion effect
text, January 2018
- Hirono, Yuji; Kharzeev, Dmitri E.; Sadofyev, Andrey V.
- arXiv
Chiral magnetohydrodynamic turbulence in core-collapse supernovae
text, January 2018
- Masada, Youhei; Kotake, Kei; Takiwaki, Tomoya
- arXiv
Magnetic fields in heavy ion collisions: flow and charge transport
text, January 2019
- Inghirami, Gabriele; Mace, Mark; Hirono, Yuji
- arXiv