Contact Structure Preserving Dynamics in Boltzmann, Enskog and n-point Kinetic Theories
M. Grmela

Ecole Polytechnique de Montreal, Montreal, Canada H3C 3A7

Abstract: The time evolution governed by the Boltzmann equation can be seen as a continuous sequence of Legendre transformations (i.e. contact structure preserving transformations) bringing the Boltzmann entropy to the entropy characterizing the ideal gas in classical equilibrium thermodynamics. In the same framework we discuss time evolutions resulting in non-ideal gas fundamental thermodynamic relations.