MANY PARTICLES DYNAMICS

Many-Particle Dynamics studies the time evolution of the states of finite and/or infinite systems of interacting particles, starting from the dynamics of the simple particle. The states of infinite systems of particles are described by infinite sequences of reduced distribution functions which must satisfy an infinite system of linear integro-differential equations, known as the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy.

It is obvious the interest of this filed with the problem of the rigorous derivation and validation of kinetic equations.

The group working on this area has developed researches on Discrete Velocity Models (DVM) for the Enskog equation (moderately dense gas).

The work is performed in cooperation with Victor Gerasimenko and Roberto Monaco.

• G.Borgioli, V.Gerasimenko, G.Lauro. R.Monaco, ``Many particles dynamical system formulation for the discrete Enskog gas'', Transport Theory and Statistical Physics, 25(3-5) 581-592 (1996).
• G.Borgioli, V.Gerasimenko, G.Lauro. R.Monaco, ``A discrete velocity model of a gas: global in time solutions of the BBGKY hierarchy"', Reports on Mathematical Physics, 40(3) 431-442 (1997).
• G.Borgioli, V.Gerasimenko, G.Lauro, ``Derivation of a discrete Enskog equation from the dynamics of particles'', Rendiconti del Seminario Matematico dell'Università e del Politecnico di Torino (to appear).

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Last Updated: 20 October 1998 by Giovanni Frosali