Dynamics and Thermodynamics
of Systems with Long-Range Interactions: An Introduction
Thierry Dauxois, Stefano Ruffo, Ennio Arimondo, Martin
Wilkens ...................................................... 1
Part I Statistical Mechanics
Thermo-statistics or Microcanonical Topology of
the Microcanonical Entropy Surface
Dieter H.E. Gross ........................................... 23
Ensemble Inequivalence in Mean-Field Models of Magnetism
Julien Barré, David Mukamel, Stefano Ruffo .................. 45
Phase Transitions in Finite Systems
Philippe Chomaz, Francesca Gulminelli ....................... 68
Phase Transitions in Systems with l/ra Attractive Interactions
Eddie G.D. Cohen, Iaroslav Ispolatov ....................... 130
Nonextensivity: From Low-Dimensional Maps to Hamiltonian
Systems
Constantino Tsallis, Andrea Rapisarda, Vito Latora,
Fulvio Baldovin ........................................... 140
Part II Astrophysics
Statistical Mechanics of Gravitating Systems in Static and
Cosmological Backgrounds
Thanu Padmanabhan .......................................... 165
Statistical Mechanics of Two-Dimensional Vortices and
Stellar Systems
Pierre-Henri Chavanis ...................................... 208
Part III Bose-Einstein Condensation
Coherence and Superfluidity of Gaseous Bose-Einstein
Condensates
Jean Dalibard .............................................. 293
Ultracold Atoms and Bose—Einstein Condensates in Optical
Lattices
Oliver Morsch, Ennio Arimondo .............................. 312
Canonical Statistics of Occupation Numbers for Ideal and
Weakly Interacting Bose—Einstein Condensates
Dave Boers, Martin Holthaus ................................ 332
New Regimes in Cold Gases via Laser-Induced Long-Range
Interactions
Gershon Kurizki, Stefano Giovanazzi, Duncan O'Dell,
Alexandre I. Artemiev ...................................... 369
Part IV Nonlinear Dynamics
Dynamics and Self-consistent Chaos in a Mean Field
Hamiltonian Model
Diego del-Castillo-Negrete ................................. 407
Kinetic Theory for Plasmas and Wave-Particle Hamiltonian
Dynamics
Yves Elskens ............................................... 437
Emergence of Fractal Clusters in Sequential Adsorption
Processes
Ofer Biham, Ofer Malcai .................................... 448
The Hamiltonian Mean Field Model: From Dynamics to
Statistical Mechanics and Back
Thierry Dauxois, Vito Latora, Andrea Rapisarda, Stefano
Ruffo, Alessandro Torcini .................................. 458
Index ......................................................... 489
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