Starting from the Liouville equation and using a BBGKY-like hierarchy, we derive a kinetic equation for the point vortex gas in two-dimensional (2D) hydrodynamics, taking two-body correlations and collective effects into account. This equation is valid at the order 1/N where N≫1 is the number...

This work is concerned with the description of the time evolution for the entropy functional in a dense fluid out of equilibrium. We consider the fluid as a collection of N particles interacting via the superposition of pairwise additive short range intermolecular potentials. Such an interaction...

The maximum entropy formalism is developed to implement a complete description of a dense gas in non-equilibrium situations. Two variational schemes are discussed in this context. The kinetic equations describing the system are consistently closed with the N-particle distribution function...