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

Lecture Notes of the Les Houches Summer School

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

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

Lecture Notes of the Les Houches Summer School

Description

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.

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

Lecture Notes of the Les Houches Summer School

Part I: STATISTICAL DYNAMICS
1:Statistical Mechanics of Systems with Long-Range Interactions, David Mukamel
2:Six out of equilibrium lectures, Jorge Kurchan
3:Synchronization of regular and chaotic oscillators, Arkady Pikovsky
Part II: HYDRODYNAMICS
4:Statistical Mechanics of Two-dimensional and Quasi-geostrophic Flows, Bruce Turkington
5:Statistical Mechanics of Turbulent Von Karman Flows: Theory and Experiments, Berengere Dubrulle & Gilles Collette
Part III: MATHEMATICAL ASPECTS
6:The Theory of Large Deviations and Applications to Statistical Mechanics, Richard S. Ellis
7:Solving Ordinary Differential Equations when the coefficients have low regularity : a kinetic point of view (after R. Di Perna and P.L. Lions), Francois Castella
8:Mean Field Limit for Interacting Particles, Pierre-Emmanuel Jabin & Antoine Gerschenfeld
9:On the Origin of Phase Transitions in Long- and Short-range Interacting Systems, Michael Kastner
Part IV: GRAVITATIONAL INTERACTION
10:Statistical Mechanics of Gravitating Systems: an Overview, T. Padmanabhan
11:Statistical Mechanics of the Cosmological Many-body Problem and its Relation to Galaxy Clustering, William C. Saslaw & Abel Yang
12:A Lecture on the Relativistic Vlasov-Poisson Equations, Michael K.-H. Kiessling
Part V: COULOMB ABD WAVE-PARTICLE INTERACTION
13:Plasma Collisional Transport, Daniel H.E. Dubin
14:Wave-particle interaction in plasmas: a qualitative approach, Dominique F. Escande
15:Long-Range Interaction in Cold Atom Optics, Philippe W. Courteille
16:Collective Instabilities in Light-Matter Interactions, Gordon R.M. Robb
Part VI: DIPOLAR INTERACTION IN CONDENSED MATTER
17:Dipolar Effects in Condensed Matter, Steven T. Bramwell

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

Lecture Notes of the Les Houches Summer School

Author Information

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