The Kinetics Of Nonequilibrium Universe. I. The Condition Of Local   Thermodynamical Equilibrium
  In terms of fundamental principles of quantum theory of interacting particles and relativistic kinetic theory there was carried out an analysis of the main principle of standard cosmological scenario - the initial existence of local thermodynamical equilibrium. It has been shown, that condition of the existence of local thermodynamical equilibrium in Universe is determined essentially by means of function of total cross-section of particles' interaction from the kinematic invariant and in case of scaling's recovery in range of superhigh energies it is initially broken. 
Yurii G. Ignatyev
gr-qc hep-ph