Nonlinear responses of chiral fluids from kinetic theory

Yoshimasa Hidaka, Shi Pu, Di-Lun Yang

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The second-order nonlinear responses of inviscid chiral fluids near local equilibrium are investigated by applying the chiral kinetic theory (CKT) incorporating side-jump effects. It is shown that the local equilibrium distribution function can be nontrivially introduced in a comoving frame with respect to the fluid velocity when the quantum corrections in collisions are involved. For the study of anomalous transport, contributions from both quantum corrections in anomalous hydrodynamic equations of motion and those from the CKT and Wigner functions are considered under the relaxation-time (RT) approximation, which result in anomalous charge Hall currents propagating along the cross product of the background electric field and the temperature (or chemical-potential) gradient and of the temperature and chemical-potential gradients. On the other hand, the nonlinear quantum correction on the charge density vanishes in the classical RT approximation, which in fact satisfies the matching condition given by the anomalous equation obtained from the CKT.

Original languageEnglish
Article number016004
JournalPhysical Review D
Volume97
Issue number1
DOIs
Publication statusPublished - 2018 Jan 1
Externally publishedYes

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kinetic theory
potential gradients
fluids
relaxation time
Hall currents
hydrodynamic equations
approximation
equations of motion
distribution functions
collisions
temperature
electric fields
products

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Nonlinear responses of chiral fluids from kinetic theory. / Hidaka, Yoshimasa; Pu, Shi; Yang, Di-Lun.

In: Physical Review D, Vol. 97, No. 1, 016004, 01.01.2018.

Research output: Contribution to journalArticle

Hidaka, Yoshimasa ; Pu, Shi ; Yang, Di-Lun. / Nonlinear responses of chiral fluids from kinetic theory. In: Physical Review D. 2018 ; Vol. 97, No. 1.
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