Dynamics and Thermodynamics of Systems with Long Range Interactions

By: Thierry Dauxois (Editor), Stefano Ruffo (Editor), Ennio Arimondo (Editor), Martin Wilkens (Editor)

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Hardcover | 1 February 2003

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492 Pages

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23.5 x 15.5 x 1.91

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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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Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction	p. 1
Statistical Mechanics
Thermo-statistics or Microcanonical Topology of the Microcanonical Entropy Surface	p. 23
Ensemble Inequivalence in Mean-Field Models of Magnetism	p. 45
Phase Transitions in Finite Systems	p. 68
Phase Transitions in Systems with 1/r[superscript [alpha]] Attractive Interactions	p. 130
Nonextensivity: From Low-Dimensional Maps to Hamiltonian Systems	p. 140
Astrophysics
Statistical Mechanics of Gravitating Systems in Static and Cosmological Backgrounds	p. 165
Statistical Mechanics of Two-Dimensional Vortices and Stellar Systems	p. 208
Bose-Einstein Condensation
Coherence and Superfluidity of Gaseous Bose-Einstein Condensates	p. 293
Ultracold Atoms and Bose-Einstein Condensates in Optical Lattices	p. 312
Canonical Statistics of Occupation Numbers for Ideal and Weakly Interacting Bose-Einstein Condensates	p. 332
New Regimes in Cold Cases via Laser-Induced Long-Range Interactions	p. 369
Nonlinear Dynamics
Dynamics and Self-consistent Chaos in a Mean Field Hamiltonian Model	p. 407
Kinetic Theory for Plasmas and Wave-Particle Hamiltonian Dynamics	p. 437
Emergence of Fractal Clusters in Sequential Adsorption Processes	p. 448
The Hamiltonian Mean Field Model: From Dynamics to Statistical Mechanics and Back	p. 458
Index	p. 489
Table of Contents provided by Blackwell. All Rights Reserved.

Dynamics and Thermodynamics of Systems with Long Range Interactions

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