2017/10/31 by Yoshimasa Hidaka, Shi Pu, Di-Lun Yang · 4 citations
Mathematics · Physics and Astronomy · #Classical mechanics #High-Energy Particle Collisions Research #Kinetic energy #Kinetic theory #Nonlinear system #Numerical methods in inverse problems #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Statistical physics #Thermodynamics #cond-mat.mes-hall #cond-mat.stat-mech #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.97.016004
published as Phys. Rev. D 97, 016004 (2018) · 34 pages, a missing term of collisions in Eq.(8) and relevant parts added, results and conclusions remain unchanged
openalex publication_date 2018/01/08 · arxiv created 2018/05/29 · arxiv updated 2019/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.