The non-equilibrium distribution function of particles and anti-particles created in strong fields

Abstract

We investigate the quantum Vlasov equation with a source term describing the spontaneous particle creation in strong fields. The back-reaction problem is treated by solving this kinetic equation together with the Maxwell equation which determines the induced time-dependent electric field in the system. The evolution of distribution functions for bosons and fermions is studied numerically. We found that the system shows a regular dynamic behavior if the back-reaction is neglected. But if the back-reaction is included, it is not the case and some stochastic features are clearly revealed in the non-equilibrium distribution function..

7 pages, LaTeX, 9 figures, sprocl.sty, psfig.sty, talk presented at the Workshop "Kadanoff-Baym Equations - Progress and Perspectives for Many-Body Physics", September 20-24, 1999, Rostock University; some changes in abstract, extended introduction, references added