Dynamics and Thermodynamics of Systems With Long Range Interactions

T. Dauxois, S. Ruffo, E. Arimondo, M. Wilkens

504 pages

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Résumé

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.

Contents

Dynamics and Thermodynamics of Systems With Long Range Interactions: An Introduction

Statistical Mechanics

Thermo-statistics or Microcanonical Topology of the Microcanonical Entropy Surface
Ensemble Inequivalence in Mean-Field Models of Magnetism
Phase Transitions in Finite Systems
Phase Transitions in Systems with 1/r ^α Attractive Interactions
Nonextensivity: From Low-Dimensional Maps to Hamiltonian Systems

Astrophysics

Statistical Mechanics of Gravitating Systems in Static and Cosmological Backgrounds
Statistical Mechanics of Two-Dimensional Vortices and Stellar Systems

Bose-Einstein Condensation

Coherence and Superfluidity of Gaseous Bose-Einstein Condensates
Ultracold Atoms and Bose-Einstein Condensates in Optical Lattices
Canonical Statistics of Occupation Numbers for Ideal and Weakly Interacting Bose-Einstein Condensates
New Regimes in Cold Gases via Laser-Induced Long-Range Interactions

Nonlinear Dynamics

Dynamics and Self-consistent Chaos in a Mean Field Hamiltonian Model
Kinetic Theory for Plasmas and Wave-Particle Hamiltonian Dynamics
Emergence of Fractal Clusters in Sequential Adsorption Processes
The Hamiltonian Mean Field Model: From Dynamics to Statistical Mechanics and Back

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	T. Dauxois, S. Ruffo, E. Arimondo, M. Wilkens
Nb. de pages	504
Format	16 x 24
Couverture	Relié
Poids	830g
Intérieur	Noir et Blanc
EAN13	9783540443155