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Physics of long-range interacting systems

Author: Alessandro Campa; T Dauxois; D Fanelli; Stefano Ruffo
Publisher: Oxford : Oxford University Press, 2014.
Edition/Format:   Print book : English : First editionView all editions and formats
Summary:
"This book deals with an important class of many-body systems: those where the interaction potential decays slowly for large inter-particle distances; in particular, systems where the decay is slower than the inverse inter-particle distance raised to the dimension of the embedding space. Gravitational and Coulomb interactions are the most prominent examples, however it has become clear that long-range interactions  Read more...
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Document Type: Book
All Authors / Contributors: Alessandro Campa; T Dauxois; D Fanelli; Stefano Ruffo
ISBN: 9780199581931 0199581932
OCLC Number: 890934924
Language Note: Text in English.
Description: xvi, 410 pages, 2 unnumbered pages of plates : illustrations (some color) ; 26 cm
Contents: Basics of statistical mechanics of short-range interacting systems --
Equilibrium statistical mechanics of long-range interactions --
The large deviations method and its applications --
Solutions of mean field models --
Beyond mean-field models --
Quantum long-range systems --
BBGKY hierarchy, kinetic theories and the Boltzmann equation --
Kinetic theory of long-range systems: Klimontovich, Vlasov and Lenard-Balescu equations --
Out-of-equilibrium dynamics and slow relaxation --
Gravitational systems --
Two-dimensional and geophysical fluid mechanics --
Cold coulomb systems --
Hot plasma --
Wave-particles interaction --
Dipolar systems --
Appendixes: A. Features of the main models studied throughout the book --
B. Evaluation of the laplace integral outside the analyticity strip --
C. The equilibrium form of the one-particle distribution function in short-range interacting systems --
D. The differential cross-section of a binary collision --
E. Autocorrelation of the fluctuations of the one-particle density --
F. Derivation of the Fokker-Planck coefficients.
Responsibility: A. Campa, T. Dauxois, D. Fanelli and S. Ruffo.

Abstract:

An upper-level text on the physics of long-range interactions. The first two parts describe the theoretical and computational instruments needed to study both the equilibrium and dynamical properties  Read more...

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The publication of this book is an important event in the field, because it collects in a clear and tutorial style, suitable to young researchers and graduate students [...], what is well-established Read more...

 
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