Nonlinear responses of chiral fluids from kinetic theory

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 res...

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Bibliographic Details
Published in:Physical review. D 2018-01, Vol.97 (1), Article 016004
Main Authors: Hidaka, Yoshimasa, Pu, Shi, Yang, Di-Lun
Format: Article
Language:English
Subjects:
Approximation
Charge density
Distribution functions
Equations of motion
Hydrodynamic equations
Kinetic theory
Mathematical analysis
Organic chemistry
Potential gradient
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Summary: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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.97.016004