Speaker
Prof.
Jitesh Bhatt
(Physical Research Laboratory)
Description
We study the chiral-imbalance and the Weibel instabilities in presence of the quantum anomaly using the Berry-curvature modified kinetic equation. We argue that in many realistic situations, e.g. relativistic heavy-ion collisions, both the instabilities can occur simultaneously. The Weibel instability depends on the momentum anisotropy parameter ξ and the angle (θn) between the propagation vector and the anisotropy direction. It has maximum growth rate at θn=0 while θn=π/2 corresponds to a damping. On the other hand the pure chiral-imbalance instability occurs in an isotropic plasma and depends on difference between the chiral chemical potentials of right and left-handed particles. It is shown that when θn=0, only for a very small values of the anisotropic parameter ξ∼ξc, growth rates of the both instabilities are comparable. For the cases ξc<ξ≪1, ξ≈1 or ξ≥1 at θn=0, the Weibel modes dominate over the chiral-imbalance instability if μ5/T≤1. However, when μ5/T≥1, it is possible to have dominance of the chiral-imbalance modes at certain values of θn for an arbitrary ξ. We also calculate the coefficient of shear viscosity generated by
the instability. Further we discuss consequences of our results for heavy-ion collisions.
Primary author
Prof.
Jitesh Bhatt
(Physical Research Laboratory)
Co-authors
Mr
Avdhesh Kumar Gangar
(Physical Research Laboratory)
Prof.
Predhiman Kaw
(Institute for Plasma Research)
