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We study the emergence of transport processes such as diffusion, viscosity, or heat conduction from the microscopic motion of the atoms and molecules composing matter. We aim at bridging the gap separating the micro- from the macroscale, thanks to appropriate mechanistic and stochastic descriptions holding at mesocopic scales and allowing one to derive exact expressions for the transport coefficients and other kinetic properties. We have an ongoing project on heat conduction in a class of many-particle billiards, one of the main challenges in modern nonequilibrium statistical mechanics. The existence of heat conductivity is demonstrated, the associated coefficient is calculated by analytical methods in appropriate limits and the thermodynamic entropy production is deduced from the hydrodynamic modes. Methods of kinetic theory such as Vlasov equation are also developed for models of microplasmas and self-gravitating systems.
• F.R.S.-FNRS et Fonds associés (hors FRIA)
• Fonds associés (toutes subventions, y compris la Loterie Nat.)
• Actions concertées