Comptes rendus Académie des sciences, Physique, tome 7, fasc 3-4, Avril-Mai 2006 : statistical mechanics of nonextensive systems ...

Statistical mechanics of collisionless stellar systems. Reconciliation of statistical mechanics and astro-physical statistics: the errors of conventional canonical thermostatistics. Nonlinear mean-field Fokker-Planck equations and their applications in physics, astrophysics and biology. Newtonian gravity in d dimensions. Mean field theory and general relativistic black holes. Clustering, self-gravity and fractal structure. Challenges in non linear gravitational clustering. Virial statistical description of non-extensive hierarchical systems. Lattice melting in perpetually pulsating equilibria. Development of fractal geometry in a one dimensional gravitational system. Statistical mechanics of the self-gravitating gas: thermodynamic limit, unstabilities and phase diagrams. Self-gravitating phase transitions: point particles, black holes and strings. Gravity, dimension, equilibrium, and thermodynamics. Turbulence, chaos, and generalized thermodynamics. Statistical mechanics and long range interactions. Statistical mechanics of the shallow-water system with an a prior potential vorticity distribution. The turbulent interstellar medium. Stochastic invertible mappings for Tsallis distributions. Turbulent cascade of circulations. Physique / Physics. La notion de spectre angulaire sphérique. Variations of the structural and optical properties of sol-gel TIO2 thin films with different treatment temperatures.