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Rotating solutions of nonideal transverse chern-simons magnetohydrodynamics

Sadooghi, N ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevD.98.076011
  3. Abstract:
  4. In order to gain deeper insight into the physics of the novel rotating solution of nonideal transverse magnetohydrodynamics (MHD), presented in one of our recent works, we replace the previously considered Maxwell theory with the CP violating Maxwell-Chern-Simons (MCS) theory. In this way, dissipationless chiral magnetic (CM) and anomalous Hall (AH) currents appear in the MCS equation of motion, that, together with equations of relativistic hydrodynamics, builds the set of constitutive equations of the nonideal transverse Chern-Simons magnetohydrodynamics (CSMHD). We are, in particular, interested in the effect of these currents on the evolution of electromagnetic fields in a uniformly and longitudinally expanding quark-gluon plasma with chirality imbalance. Combining the constitutive equations of CSMHD under these assumptions, we arrive, as expected, at two distinct rotating and nonrotating solutions for electromagnetic fields. The rotation occurs with increasing rapidity and a constant angular velocity ω0. Remarkably, the relative angle between the electric and magnetic fields, δ, turns out to be given by the coefficient of AH current κE and the electric conductivity of the medium σ, as δ=tan-1(κE/σ). Whereas the nonrotating solution implies the AH coefficient to be vanishing, and thus nonrotating electric and magnetic fields to be either parallel or antiparallel, the relative orientation of rotating electric and magnetic fields and the evolution of the CM conductivity κB are strongly affected by nonvanishing κE. We explore the effect of positive and negative ω0 on the evolution of the CM current, and show, in particular, that a rotation of electromagnetic fields with negative ω0 implies a sign flip of the CM current in a chiral fluid with nonvanishing AH current. © 2018 American Physical Society
  5. Keywords:
  7. Source: Physical Review D ; Volume 98, Issue 7 , 2018 ; 24700010 (ISSN)
  8. URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.076011