Non-extensive Fokker-Planck transport coefficients of heavy quarks

Abstract

In presence of the non-ideal plasma effects, Heavy Quarks (HQs) carry out non linear random walk inside Quark-Gluon Plasma (QGP) and in the small momentum transfer limit, the evolution of the HQ distribution is dictated by the Non Linear Fokker-Planck Equation (NLFPE). Using the NLFPE, we calculate the transport coefficients (drag and diffusion) of heavy quarks travelling through QGP. We observe substantial modification in the momentum and temperature variation of the transport coefficients; and this will modify the physical picture we are having about the transport of heavy quarks inside QGP, and hence, about the characterisation of the plasma.

Non-extensive Boltzmann Transport Equation: the Relaxation Time Approximation and Beyond

“…1 which finds the graphical solutions of Eqs. ( 17), (18), and (19), which are located at the points where Ψ s i (i = 0, 1, e) change sign. We observe that at the transverse momentum values near 1 GeV and above, the solution of the zeroth order equation (dashed line) is very close to that of the exact equation (solid line) which entirely overlaps with the solution of the first order equation (dot-dashed line, not always visible because of overlapping).…”

“…In addition to this, we also discuss the Landau kinetic approximation of the NEBTE and the emergence of the non-extensive Fokker-Planck equation (see also Ref. [19]). Later, this equation has been used to estimate the drag and diffusion coefficients of energetic light quarks passing through a gluonic plasma.…”