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Dynamics and Thermodynamics of Systems with Long Range Interactions

  • Book
  • © 2002

Overview

Editors:
  1. Thierry Dauxois

    1. Laboratoire de Physique, ENS Lyon, Lyon, France

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  2. Stefano Ruffo

    1. Dipartimento di Energetica “S. Stecco”, Universitá di Firenze, Firenze, Italy

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  3. Ennio Arimondo

    1. Dipartimento di Fisica, Universitá degli Studi di Pisa, Pisa, Italy

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  4. Martin Wilkens

    1. Institut für Physik, Universität Potsdam, Potsdam, Germany

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  • Bridges the gap between standard textbook material and the research level
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 602)

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-XI
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  2. Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction

    1. Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction

      • Thierry Dauxois, Stefano Ruffo, Ennio Arimondo, Martin Wilkens
      Pages 1-19

  3. Statistical Mechanics

    1. Thermo-statistics or Topology of the Microcanonical Entropy Surface

      • Dieter H. E. Gross
      Pages 23-44

    2. Ensemble Inequivalence in Mean-Field Models of Magnetism

      • Julien Barré, David Mukamel, Stefano Ruffo
      Pages 45-67

    3. Phase Transitions in Finite Systems

      • Philippe Chomaz, Francesca Gulminelli
      Pages 68-129

    4. Phase Transitions in Systems with 1/r α Attractive Interactions

      • Eddie G. D. Cohen, Iaroslav Ispolatov
      Pages 130-139

    5. Nonextensivity: From Low-Dimensional Maps to Hamiltonian Systems

      • Constantino Tsallis, Andrea Rapisarda, Vito Latora, Fulvio Baldovin
      Pages 140-162

  5. Bose-Einstein Condensation

    1. Coherence and Superfluidity of Gaseous Bose-Einstein Condensates

      • Jean Dalibard
      Pages 293-311

    2. Ultracold Atoms and Bose-Einstein Condensates in Optical Lattices

      • Oliver Morsch, Ennio Arimondo
      Pages 312-331

    3. Canonical Statistics of Occupation Numbers for Ideal and Weakly Interacting Bose-Einstein Condensates

      • Dave Boers, Martin Holthaus
      Pages 332-368

    4. New Regimes in Cold Gases via Laser-Induced Long-Range Interactions

      • Gershon Kurizki, Stefano Giovanazzi, Duncan O’Dell, Alexandre I. Artemiev
      Pages 369-403

  6. Nonlinear Dynamics

    1. Dynamics and Self-consistent Chaos in a Mean Field Hamiltonian Model

      • Diego del-Castillo-Negrete
      Pages 407-436

    2. Kinetic Theory for Plasmas and Wave-Particle Hamiltonian Dynamics

      • Yves Elskens
      Pages 437-447

    3. Emergence of Fractal Clusters in Sequential Adsorption Processes

      • Ofer Biham, Ofer Malcai
      Pages 448-457

    4. The Hamiltonian Mean Field Model: From Dynamics to Statistical Mechanics and Back

      • Thierry Dauxois, Vito Latora, Andrea Rapisarda, Stefano Ruffo, Alessandro Torcini
      Pages 458-487

  7. Back Matter

    Pages 489-492
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Keywords

About this book

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.

Editors and Affiliations

  • Laboratoire de Physique, ENS Lyon, Lyon, France

    Thierry Dauxois

  • Dipartimento di Energetica “S. Stecco”, Universitá di Firenze, Firenze, Italy

    Stefano Ruffo

  • Dipartimento di Fisica, Universitá degli Studi di Pisa, Pisa, Italy

    Ennio Arimondo

  • Institut für Physik, Universität Potsdam, Potsdam, Germany

    Martin Wilkens

Bibliographic Information

  • Book Title: Dynamics and Thermodynamics of Systems with Long Range Interactions

  • Editors: Thierry Dauxois, Stefano Ruffo, Ennio Arimondo, Martin Wilkens

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/3-540-45835-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Hardcover ISBN: 978-3-540-44315-5Published: 10 December 2002

  • Softcover ISBN: 978-3-642-07928-3Published: 15 December 2010

  • eBook ISBN: 978-3-540-45835-7Published: 11 January 2008

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: XI, 492

  • Topics: Complex Systems, Thermodynamics, Quantum Gases and Condensates, Statistical Physics and Dynamical Systems

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