Statistical Mechanics of Non-Extensive Systems Book

Introduction (Table of Contents, Preface, Participants)

Session I- Statistical mechanics of collisionless stellar systems

Reconciliation of Statistical Mechanics and Astro-Physical Statistics Dieter Gross {311}

Nonlinear mean-field Fokker-Planck equations and their applications in physics, astrophysics and biology Pierre-Henri Chavanis {318}

Newtonian gravity in $d$ dimensions Pierre-Henri Chavanis {331}

Mean Field Theory and General Relativistic Black Holes Claire Chevalier and Fabrice Debbasch {343}

Session II- Clustering, self-gravity and fractal structure

Challenges in Non Linear Gravitational Clustering Thanu Padmanabhan {350}

Virial statistical description of non-extensive hierarchical systems Daniel Pfenniger {360}

Lattice Melting in Perpetually Pulsating Equilibria Christophe Pichon and Donald Lynden-Bell {373}

Development of Fractal Geometry in a One Dimensional Gravitational System Bruce Miller and Jean-Louis Rouet {383}

Statistical Mechanics of the Self-Gravitating Gas: Thermodynamic Limit, Unstabilities and Phase Diagrams Hector de Vega and Norma Sanchez {391}

Self-Gravitating Phase Transitions: Point Particles, Black Holes and Strings Norma Sanchez {398}

Gravity, Dimension, Equilibrium, \& Thermodynamics J\'er\^ome Perez {406}

Session III- Turbulence, chaos, and generalized thermodynamics

Statistical mechanics and long range interactions Julien Barr\'e and Freddy Bouchet {414}

Statistical mechanics of the shallow-water system with a prior potential vorticity distribution Pierre-Henri Chavanis and B ereng\`ere Dubrulle {422}

The turbulent interstellar medium Andreas Burkert {433}

Stochastic invertible mappings for Tsallis distributions Christophe Vignat and Angel Plastino {442}

Turbulent Cascade of Circulations Gregory Eyink {449}