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.
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