1.

Record Nr.

UNINA9910157842503321

Autore

Campa Alessandro

Titolo

Physics of long-range interacting systems

Pubbl/distr/stampa

Oxford : , : Oxford University Press, , 2014

ISBN

0-19-178714-0

Descrizione fisica

1 online resource (xvi, 410 pages) : illustrations (black and white)

Disciplina

530.13

Soggetti

Statistical physics

System theory

Atomic Physics

Physics

Physical Sciences & Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

This title deals with an important class of many-body systems: those where the interaction potential decays slowly for large inter-particle distance. 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 are more common than previously thought. This has stimulated a growing interest in the study of long-range interacting systems, with a better understanding of the many peculiarities in their behaviour.