Long-range Interacting Systems (v. 90)

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.

ISBN 0199574626   Part volume August 2008 ISBN13 9780199574629 (What's this?)   Weight (grammes) 1330 Publisher Oxford University Press   Published in Oxford Imprint Oxford University Press   Series title Lecture Notes of the Les Houches Summer School Format Hardback   Height (mm) 253 Publication date 21 Jan 2010   Width (mm) 175 DEWEY 530.13   Spine width (mm) 35 DEWEY edition DC22   Academic level Postgraduate Pages 608

		List of participants		1
		Abstracts of lectures		11
		Abstracts of seminars given by students and auditors		19
Pt. I		Statistical Dynamics
1		Statistical mechanics of systems with long-range interactions by David Mukamel		33
2		Six out-of-equilibrium lectures by Jorge Kurchan		67
3		Synchronization of regular and chaotic oscillators by Arkady Pikovsky		123
Pt. II		Hydrodynamics
4		Statistical mechanics of two-dimensional and quasi-geostrophic flows by Bruce Turkington		159
5		Statistical mechanics of turbulent von Karman flows: Theory and experiments by Berengere Dubrulle and Gilles Collette		211
Pt. III		Mathematical Aspects
6		The theory of large deviations and applications to statistical mechanics by Richard S. Ellis		227
7		Solving ordinary differential equations when the coefficients have low regularity: A kinetic point of view (after R. Di Perna and P. L. Lions) by Francois Castella		279
8		The mean-field limit for interacting particles by P. E. Jabin and Antoine Gerschenfeld		319
9		On the origin of phase transitions in long- and short-range interacting systems by Michael Kastner		329
Pt. IV		Gravitational Interaction
10		Statistical mechanics of gravitating systems: An overview by T. Padmanabhan		349
11		Statistical mechanics of the cosmological many-body problem and its relation to galaxy clustering by William C. Saslaw and Abel Yang		377
12		A lecture on the relativistic Vlasov-Poisson equations by Michael K.-H. Kiessling		399
Pt. V		Coulomb and Wave-Particle Interaction
13		Plasma collisional transport by Daniel H. E. Dubin		409
		More...

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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