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The mean-field limit for the dynamics of large particle systems

François Golse (2003)

Journées équations aux dérivées partielles

This short course explains how the usual mean-field evolution PDEs in Statistical Physics - such as the Vlasov-Poisson, Schrödinger-Poisson or time-dependent Hartree-Fock equations - are rigorously derived from first principles, i.e. from the fundamental microscopic models that govern the evolution of large, interacting particle systems.

Tridiagonal symmetries of models of nonequilibrium physics.

Aneva, Boyka (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Velocity and Entropy of Motion in Periodic Potentials

Andreas Knauf (1996/1997)

Séminaire Équations aux dérivées partielles

This is a report on recent joint work with J. Asch, and with T. Hudetz and F. Benatti.We consider classical, quantum and semiclassical motion in periodic potentials and prove various results on the distribution of asymptotic velocities.The Kolmogorov-Sinai entropy and its quantum generalization, the Connes-Narnhofer-Thirring entropy, of the single particle and of a gas of noninteracting particles are related.

Vortex dans les condensats de Bose Einstein

Amandine Aftalion (2004/2005)