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Long-Range Interacting Systems
Lecture Notes of the Les Houches Summer School: Volume 90, August 2008
Edited by Thierry Dauxois, Stefano Ruffo, and Leticia F Cugliandolo
608 pages
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200 b/w illustrations, 20 b/w halftones
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246x171mm
978-0-19-957462-9
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Hardback
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21 January 2010
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- State of the art reviews of a fast growing field of research
- Address fundamental problems of statistical mechanics
- New and highly challenging research field
- Written from a pedagogical perspective
- Widespread applications in different fields
This book collects together the lecture courses and seminars given at the Les Houches Summer School 2008 on Long-Range Interacting Systems. Leading scientists in different fields of mathematics and physics present their views on this fast growing and interdisciplinary field of research, by venturing upon fundamental problems of probability, transport theory, equilibrium and non-equilibrium statistical mechanics, condensed matter physics, astrophysics and cosmology, physics of plasmas, and hydrodynamics. The thermodynamic and dynamical properties of systems with long-range interactions were poorly understood until a few years ago. Substantial progress has been made only
recently by realizing that the lack of additivity induced by long-range interactions does not hinder the development of a consistent thermodynamic formalism. This book reviews the state-of-the-art developments in this field and provides an essential background to future studies. All chapters are written from a pedagogical perspective, making the book accessible to masters and PhD students and all researchers wishing to enter this field.Readership: Beginning PhD students in physics and in complex systems, Masters lecturers, PhD lecturers, researchers entering the field for the first time.
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Edited by Thierry Dauxois, Ecole Normale Supérieure de Lyon & CNRS, Stefano Ruffo, Università di Firenze, and Leticia F Cugliandolo, Université Pierre et Marie Curie, Paris VI, France Contributors:
David Mukamel
Jorge Kurchan
Arkady Pikovsky
Bruce Turkington
Berengere Dubrulle & Gilles Collette
Richard S. Ellis
Francois Castella
Pierre-Emmanuel Jabin & Antoine Gerschenfeld
Michael Kastner
T. Padmanabhan
William C. Saslaw & Abel Yang
Michael K.-H. Kiessling
Daniel H.E.
Dubin
Dominique F. Escande
Philippe W. Courteille
Gordon R.M. Robb
Steven T. Bramwell
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"The lecturers and authors of the chapters form an impressive list, all being leading scientists in the respective fields. [] This book provides, in a style accessible to graduate and PhD students, the necessary background about what has been achieved so far and what is likely to come in the near future. I believe this volume will remain for long an essential textbook and a reference to young researchers wishing to enter this expanding research field." - G. Benedek, Il Nuovo Saggiatore
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Part I: STATISTICAL DYNAMICS
1: David Mukamel: Statistical Mechanics of Systems with Long-Range Interactions
2: Jorge Kurchan: Six out of equilibrium lectures
3: Arkady Pikovsky: Synchronization of regular and chaotic oscillators
Part II: HYDRODYNAMICS
4: Bruce Turkington: Statistical Mechanics of Two-dimensional and Quasi-geostrophic Flows
5: Berengere Dubrulle & Gilles Collette: Statistical Mechanics of Turbulent Von Karman Flows: Theory and Experiments
Part III: MATHEMATICAL ASPECTS
6: Richard S. Ellis: The Theory of Large Deviations and Applications to Statistical Mechanics
7: Francois Castella: Solving Ordinary Differential Equations when the coefficients have low regularity : a kinetic point of view (after R. Di Perna and P.L. Lions)
8: Pierre-Emmanuel Jabin & Antoine Gerschenfeld: Mean Field Limit for Interacting Particles
9: Michael Kastner: On the Origin of Phase Transitions in Long- and Short-range Interacting Systems
Part IV: GRAVITATIONAL INTERACTION
10: T. Padmanabhan: Statistical Mechanics of Gravitating Systems: an Overview
11: William C. Saslaw & Abel Yang: Statistical Mechanics of the Cosmological Many-body Problem and its Relation to Galaxy Clustering
12: Michael K.-H. Kiessling: A Lecture on the Relativistic Vlasov-Poisson Equations
Part V: COULOMB ABD WAVE-PARTICLE INTERACTION
13: Daniel H.E. Dubin: Plasma Collisional Transport
14: Dominique F. Escande: Wave-particle interaction in plasmas: a qualitative approach
15: Philippe W. Courteille: Long-Range Interaction in Cold Atom Optics
16: Gordon R.M. Robb: Collective Instabilities in Light-Matter Interactions
Part VI: DIPOLAR INTERACTION IN CONDENSED MATTER
17: Steven T. Bramwell: Dipolar Effects in Condensed Matter
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The specification in this catalogue, including without limitation price, format, extent, number of illustrations, and month of publication, was as accurate as possible at the time the catalogue was compiled. Occasionally, due to the nature of some contractual restrictions, we are unable to ship a specific product to a particular territory. Jacket images are provisional and liable to change before publication.
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