• Open Access

Nonlinear responses of chiral fluids from kinetic theory

Yoshimasa Hidaka, Shi Pu, and Di-Lun Yang
Phys. Rev. D 97, 016004 – Published 8 January 2018

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.

  • Received 13 October 2017

DOI:https://doi.org/10.1103/PhysRevD.97.016004

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsNuclear PhysicsCondensed Matter, Materials & Applied PhysicsFluid Dynamics

Authors & Affiliations

Yoshimasa Hidaka1,2, Shi Pu3, and Di-Lun Yang1

  • 1Theoretical Research Division, Nishina Center, RIKEN, Wako, Saitama 351-0198, Japan
  • 2iTHEMS Program, RIKEN, Wako, Saitama 351-0198, Japan
  • 3Department of Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan

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Issue

Vol. 97, Iss. 1 — 1 January 2018

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