Nonlinear responses of chiral fluids from kinetic theory Article Swipe
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· 2018
· Open Access
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· DOI: https://doi.org/10.1103/physrevd.97.016004
· OA: W2761841663
The second-order nonlinear responses of inviscid chiral fluids near local\nequilibrium are investigated by applying the chiral kinetic theory (CKT)\nincorporating side-jump effects. It is shown that the local equilibrium\ndistribution function can be non-trivially introduced in a co-moving frame with\nrespect to the fluid velocity when the quantum corrections in collisions are\ninvolved. For the study of anomalous transport, contributions from both quantum\ncorrections in anomalous hydrodynamic equations of motion and those from the\nCKT and Wigner functions are considered under the relaxation-time (RT)\napproximation, which result in anomalous charge Hall currents propagating along\nthe cross product of the background electric field and the temperature (or\nchemical-potential) gradient and of the temperature and chemical-potential\ngradients. On the other hand, the nonlinear quantum correction on the charge\ndensity vanishes in the classical RT approximation, which in fact satisfies the\nmatching condition given by the anomalous equation obtained from the CKT.\n
