Dynamics and Thermodynamics of Systems with Long Range Interactions

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Thierry Dauxois, Stefano Ruffo, Ennio Arimondo, Martin Wilkens
Springer, Jan 11, 2008 - Science - 492 pages
Properties of systems with long range interactions are still poorly understood despite being of importance in most areas of physics. The present volume introduces and reviews the effort of constructing a coherent thermodynamic treatment of such systems by combining tools from statistical mechanics with concepts and methods from dynamical systems. Analogies and differences between various systems are examined by considering a large range of applications, with emphasis on Bose--Einstein condensates. Written as a set of tutorial reviews, the book will be useful for both the experienced researcher as well as the nonexpert scientist or postgraduate student.
 

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Contents

An Introduction
1
Thermostatistics or Topology of the Microcanonical Entropy Surface
20
Ensemble Inequivalence in MeanField Models of Magnetism
45
Phase Transitions in Finite Systems
68
Phase Transitions in Systems with 1rα Attractive Interactions
130
From LowDimensional Maps to Hamiltonian Systems
140
Statistical Mechanics of Gravitating Systems in Static and Cosmological Backgrounds
163
Statistical Mechanics of TwoDimensional Vortices and Stellar Systems
208
Ultracold Atoms and BoseEinstein Condensates in Optical Lattices
312
Canonical Statistics of Occupation Numbers for Ideal and Weakly Interacting BoseEinstein Condensates
332
New Regimes in Cold Gases via LaserInduced LongRange Interactions
369
Dynamics and Selfconsistent Chaos in a Mean Field Hamiltonian Model
404
Kinetic Theory for Plasmas and WaveParticle Hamiltonian Dynamics
437
Emergence of Fractal Clusters in Sequential Adsorption Processes
448
From Dynamics to Statistical Mechanics and Back
458
Index
489

Coherence and Superfluidity of Gaseous BoseEinstein Condensates
293

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