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Title: Dynamics of Vortices in Chiral Media: The Chiral Propulsion Effect

Abstract

We study the motion of vortex filaments in chiral media, and find a semi-classical analog of the anomaly-induced chiral magnetic effect. The helical solitonic excitations on vortices in a parity-breaking medium are found to carry an additional energy flow along the vortex in the direction dictated by the sign of chirality imbalance; we call this new transport phenomenon the Chiral Propulsion Effect (CPE). The dynamics of the filament is described by a modified version of the localized induction equation in the parity-breaking background. We analyze the linear stability of simple vortex configurations, and study the effects of chiral media on the excitation spectrum and the growth rate of the unstable modes. It is also shown that, if the equation of motion of the filament is symmetric under the simultaneous reversal of parity and time, the resulting planar solution cannot transport energy.

Authors:
; ;
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1475083
Alternate Identifier(s):
OSTI ID: 1477726; OSTI ID: 1479270
Report Number(s):
LA-UR-18-22126; BNL-209331-2018-JAAM
Journal ID: ISSN 0031-9007; PRLTAO; 142301
Grant/Contract Number:  
FG-88ER40388; SC0017662; AC02-98CH10886; AC52-06NA25396; SC0012704
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 14; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; Atomic and Nuclear Physics; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Hirono, Yuji, Kharzeev, Dmitri E., and Sadofyev, Andrey V. Dynamics of Vortices in Chiral Media: The Chiral Propulsion Effect. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.142301.
Hirono, Yuji, Kharzeev, Dmitri E., & Sadofyev, Andrey V. Dynamics of Vortices in Chiral Media: The Chiral Propulsion Effect. United States. https://doi.org/10.1103/PhysRevLett.121.142301
Hirono, Yuji, Kharzeev, Dmitri E., and Sadofyev, Andrey V. Mon . "Dynamics of Vortices in Chiral Media: The Chiral Propulsion Effect". United States. https://doi.org/10.1103/PhysRevLett.121.142301.
@article{osti_1475083,
title = {Dynamics of Vortices in Chiral Media: The Chiral Propulsion Effect},
author = {Hirono, Yuji and Kharzeev, Dmitri E. and Sadofyev, Andrey V.},
abstractNote = {We study the motion of vortex filaments in chiral media, and find a semi-classical analog of the anomaly-induced chiral magnetic effect. The helical solitonic excitations on vortices in a parity-breaking medium are found to carry an additional energy flow along the vortex in the direction dictated by the sign of chirality imbalance; we call this new transport phenomenon the Chiral Propulsion Effect (CPE). The dynamics of the filament is described by a modified version of the localized induction equation in the parity-breaking background. We analyze the linear stability of simple vortex configurations, and study the effects of chiral media on the excitation spectrum and the growth rate of the unstable modes. It is also shown that, if the equation of motion of the filament is symmetric under the simultaneous reversal of parity and time, the resulting planar solution cannot transport energy.},
doi = {10.1103/PhysRevLett.121.142301},
journal = {Physical Review Letters},
number = 14,
volume = 121,
place = {United States},
year = {Mon Oct 01 00:00:00 EDT 2018},
month = {Mon Oct 01 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.121.142301

Citation Metrics:
Cited by: 5 works
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Figures / Tables:

FIG. 1. FIG. 1.: Nonplanar [left, (ϵ; $τ$0; $t$) = (1; 0.4; 0 ) and planar [right, (ϵ; $τ$0; $t$) = (1; 0; 0)] solitons.

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Works referenced in this record:

Vortical Fluid and Λ Spin Correlations in High-Energy Heavy-Ion Collisions
journal, November 2016


Turbulence and waves in a rotating tank
journal, December 1982


Fluid dynamics of R-charged black holes
journal, January 2009


Chiral magnetic and vortical effects in high-energy nuclear collisions—A status report
journal, May 2016


Λ polarization in peripheral heavy ion collisions
journal, September 2013


Erratum to: A study of vorticity formation in high energy nuclear collisions
journal, May 2018


Rediscovery of Da Rios equations
journal, August 1991


Poisson geometry of the filament equation
journal, February 1991

  • Langer, Joel; Perline, Ron
  • Journal of Nonlinear Science, Vol. 1, Issue 1
  • DOI: 10.1007/BF01209148

Giant negative magnetoresistance induced by the chiral anomaly in individual Cd3As2 nanowires
journal, December 2015

  • Li, Cai-Zhen; Wang, Li-Xian; Liu, Haiwen
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms10137

Status of the chiral magnetic effect and collisions of isobars
journal, June 2017


Chiral Plasma Instabilities
journal, August 2013


The Chiral Magnetic Effect and anomaly-induced transport
journal, March 2014


Three-dimensional distortions of a vortex filament with axial velocity
journal, January 1991


Erratum: Λ polarization in peripheral heavy ion collisions [Phys. Rev. C 88 , 034905 (2013)]
journal, June 2016


Global Λ hyperon polarization in nuclear collisions
journal, August 2017


On consistency of hydrodynamic approximation for chiral media
journal, April 2016


Chiral effects and cosmic magnetic fields
journal, November 2012


Vortical susceptibility of finite-density QCD matter
journal, October 2016

  • Aristova, A.; Frenklakh, D.; Gorsky, A.
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)029

A PCAC puzzle: π0→γγ in the σ-model
journal, March 1969


Vortex solitary waves in a rotating, turbulent flow
journal, February 1982

  • Hopfinger, E. J.; Browand, F. K.
  • Nature, Vol. 295, Issue 5848
  • DOI: 10.1038/295393a0

Physical interpretation of certain invariants for vortex filament motion under LIA
journal, May 1992

  • Ricca, Renzo L.
  • Physics of Fluids A: Fluid Dynamics, Vol. 4, Issue 5
  • DOI: 10.1063/1.858274

Hydrodynamics with Triangle Anomalies
journal, November 2009


Vortices and other topological solitons in dense quark matter
journal, January 2014

  • Eto, M.; Hirono, Y.; Nitta, M.
  • Progress of Theoretical and Experimental Physics, Vol. 2014, Issue 1
  • DOI: 10.1093/ptep/ptt095

XXIV. Vibrations of a columnar vortex
journal, September 1880

  • Thomson, William
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 10, Issue 61
  • DOI: 10.1080/14786448008626912

Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly
journal, December 2015


Vorticity in heavy-ion collisions
journal, June 2016


Global hyperon polarization at local thermodynamic equilibrium with vorticity, magnetic field, and feed-down
journal, May 2017


Localized-Induction Concept on a Curved Vortex and Motion of an Elliptic Vortex Ring
journal, January 1965

  • Arms, R. J.; Hama, Francis R.
  • Physics of Fluids, Vol. 8, Issue 4
  • DOI: 10.1063/1.1761268

Chiral magnetic effect
journal, October 2008


Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-abelian symmetries
journal, August 2009


Scaling laws in chiral hydrodynamic turbulence
journal, June 2016


Evidence for the chiral anomaly in the Dirac semimetal Na3Bi
journal, September 2015


Local and global Λ polarization in a vortical fluid
journal, November 2017


Polarization probes of vorticity in heavy ion collisions
journal, October 2007


Sul moto d’un liquido indefinito con un filetto vorticoso di forma qualunque
journal, December 1906

  • Da Rios, Luigi Sante
  • Rendiconti del Circolo Matematico di Palermo, Vol. 22, Issue 1
  • DOI: 10.1007/BF03018608

Vortex dynamics in nonrelativistic Abelian Higgs model
journal, November 2015


Study of $$\Lambda $$ Λ polarization in relativistic nuclear collisions at $$\sqrt{s_\mathrm {NN}}=7.7$$ s NN = 7.7 –200 GeV
journal, April 2017


A study of vorticity formation in high energy nuclear collisions
journal, September 2015


The effects of topological charge change in heavy ion collisions: “Event by event and violation”
journal, May 2008


Motion of Distorted Vortex Rings
journal, August 1971

  • Kambe, Tutomu; Takao, Toshiharu
  • Journal of the Physical Society of Japan, Vol. 31, Issue 2
  • DOI: 10.1143/JPSJ.31.591

A soliton on a vortex filament
journal, February 1972


Parity violation in hot QCD: Why it can happen, and how to look for it
journal, February 2006


Globally Polarized Quark-Gluon Plasma in Noncentral A + A Collisions
journal, March 2005


Axial-Vector Vertex in Spinor Electrodynamics
journal, January 1969


Erratum: Globally Polarized Quark-Gluon Plasma in Noncentral A + A Collisions [Phys. Rev. Lett. 94 , 102301 (2005)]
journal, January 2006


The contributions of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics
journal, October 1996


The effect of torsion on the motion of a helical vortex filament
journal, August 1994


Gauge string in the fermion asymmetric matter
journal, August 1999


Riemannian Geometrical Analysis of the Motion of a Vortex Filament: A System of C ( S 1 ,   SO ( 3 ) )
journal, August 1996


Exact envelope‐soliton solutions of a nonlinear wave equation
journal, July 1973

  • Hirota, Ryogo
  • Journal of Mathematical Physics, Vol. 14, Issue 7
  • DOI: 10.1063/1.1666399

Femto-vortex sheets and hyperon polarization in heavy-ion collisions
journal, March 2016


Hydrodynamics from charged black branes
journal, January 2011

  • Banerjee, Nabamita; Bhattacharya, Jyotirmoy; Bhattacharyya, Sayantani
  • Journal of High Energy Physics, Vol. 2011, Issue 1
  • DOI: 10.1007/JHEP01(2011)094

Chiral magnetic effect in ZrTe5
journal, February 2016

  • Li, Qiang; Kharzeev, Dmitri E.; Zhang, Cheng
  • Nature Physics, Vol. 12, Issue 6
  • DOI: 10.1038/nphys3648

Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly
journal, August 1997


Charge separation induced by -odd bubbles in QCD matter
journal, December 2007


On the curvature and torsion of an isolated vortex filament
journal, July 1965


Rotating quark-gluon plasma in relativistic heavy-ion collisions
journal, October 2016


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