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Physics of Long-Range Interacting Systems Campa

Name: Physics of Long-Range Interacting Systems Campa
SKU: EB-33540194
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Physics of Long-Range Interacting Systems Campa Digital Instant Download

Author(s): Campa, A., Dauxois, T., Fanelli, D., Ruffo, S.

ISBN(s): 9780199581931, 0199581932

Edition: Illustrated

File Details: PDF, 24.64 MB

Year: 2021

Language: English

SKU: EB-33540194 Category: Physics Tags: A. Campa, D. Fanelli, Interacting Systems, Physics of Long-Range, S. Ruffo, T. Dauxois

Description

Physics of Long-Range Interacting Systems Campa – Ebook Instant Download/Delivery ISBN(s): 9780199581931,0199581932,9780191027413, 0191027413

Product details:

ISBN 10: 0191027413
ISBN 13:9780191027413
Author: A. Campa; T. Dauxois; D. Fanelli; S. Ruffo

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 are more common than previously thought. A satisfactory understanding of properties, generally considered as oddities only a couple of decades ago, has now been reached: ensemble inequivalence, negative specific heat, negative susceptibility, ergodicity breaking, out-of-equilibrium quasi-stationary-states, anomalous diffusion. The book, intended for Master and PhD students, tries to gradually acquaint the reader with the subject. The first two parts describe the theoretical and computational instruments needed to address the study of both equilibrium and dynamical properties of systems subject to long-range forces. The third part of the book is devoted to applications of such techniques to the most relevant examples of long-range systems.

Table contents:

PART I: STATIC AND EQUILIBRIUM PROPERTIES
1:Basics of statistical mechanics of short-range interacting systems
2:Equilibriumstatistical mechanics of long-range interactions
3:The large deviations method and its applications
4:Solutions of mean field models
5:Beyond mean-field models
6:Quantum long-range systems

PART II: DYNAMICAL PROPERTIES
7:BBGKY hierarchy, kinetic theories and the Boltzmann equation
8:Kinetic theory of long-range systems: Klimontovich, Vlasov and Lenard-Balescu equations
9:Out-of-equilibrium dynamics and slow relaxation

PART III: APPLICATIONS
10:Gravitational systems
11:Two-dimensional and geophysical fluid mechanics
12:Cold Coulomb systems
13:Hot plasma
14:Wave-particles interaction
15:Dipolar systems

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