On the Relativistic Micro-Canonical Ensemble and Relativistic Kinetic   Theory for N Relativistic Particles in Inertial and Non-Inertial Rest Frames
  A new formulation of relativistic classical mechanics allows a revisiting of old unsolved problems in relativistic kinetic theory and in relativistic statistical mechanics. In particular a definition of the relativistic micro-canonical partition function is given strictly in terms of the Poincar\'e generators of an interacting N-particle system both in the inertial and non-inertial rest frames. The non-relativistic limit allows a definition of both the inertial and non-inertial micro-canonical ensemble strictly in terms of the Galilei generators. Also the one-particle relativistic distribution function is defined and a new approach to the relativistic Boltzmann equation is delineated. Finally there are some comments on relativistic dissipative fluids. 
David Alba, Horace W. Crater, Luca Lusanna
math-ph cond-mat.stat-mech gr-qc hep-th math.MP physics.class-ph