1202.4667 (David Alba et al.)

On the Relativistic Micro-Canonical Ensemble and Relativistic Kinetic
Theory for N Relativistic Particles in Inertial and Non-Inertial Rest Frames    [PDF]

David Alba, Horace W. Crater, Luca Lusanna

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.

View original: http://arxiv.org/abs/1202.4667