### 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 language | English |
---|---|

Article number | 016004 |

Journal | Physical Review D |

Volume | 97 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2018 Jan 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*97*(1), [016004]. https://doi.org/10.1103/PhysRevD.97.016004

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

Research output: Contribution to journal › Article

*Physical Review D*, vol. 97, no. 1, 016004. https://doi.org/10.1103/PhysRevD.97.016004

}

TY - JOUR

T1 - Nonlinear responses of chiral fluids from kinetic theory

AU - Hidaka, Yoshimasa

AU - Pu, Shi

AU - Yang, Di-Lun

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85041734891&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85041734891&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.97.016004

DO - 10.1103/PhysRevD.97.016004

M3 - Article

AN - SCOPUS:85041734891

VL - 97

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 1

M1 - 016004

ER -