03440oam 2200601zu 450 991015784250332120220217170134.00-19-178714-0(CKB)3710000000264269(SSID)ssj0001542518(PQKBManifestationID)16131271(PQKBTitleCode)TC0001542518(PQKBWorkID)14790331(PQKB)11569437(StDuBDS)EDZ0000898742(MiAaPQ)EBC4842065(EXLCZ)99371000000026426920160829d2014 uy engur|||||||||||txtccrPhysics of long-range interacting systemsOxford :Oxford University Press,2014.1 online resource (xvi, 410 pages) illustrations (black and white)Bibliographic Level Mode of Issuance: Monograph0-19-958193-2 Includes bibliographical references and index.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.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.Statistical physicsSystem theoryAtomic PhysicsHILCCPhysicsHILCCPhysical Sciences & MathematicsHILCCStatistical physicsSystem theoryAtomic PhysicsPhysicsPhysical Sciences & Mathematics530.13Campa Alessandro1081644Dauxois TFanelli DDauxois TFanelli DRuffo StefanoPQKBBOOK9910157842503321Physics of long-range interacting systems2783340UNINA