Large Scale Dynamics of Interacting Particles de Herbert Spohn

Large Scale Dynamics of Interacting Particles: Theoretical and Mathematical Physics

Herbert Spohn

en Limba Engleză Paperback – 27 dec 2011

This book deals with one of the fundamental problems of nonequilibrium statistical mechanics: the explanation of large-scale dynamics (evolution differential equations) from models of a very large number of interacting particles. This book addresses both researchers and students. Much of the material presented has never been published in book-form before.

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Specificații

ISBN-13: 9783642843730
ISBN-10: 3642843735
Pagini: 360
Ilustrații: XI, 342 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.5 kg
Ediția:Softcover reprint of the original 1st ed. 1991
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Theoretical and Mathematical Physics

Locul publicării:Berlin, Heidelberg, Germany

Cuprins

Scales.- Outline.- I Classical Particles.- 1. Dynamics.- 2. States of Equilibrium and Local Equilibrium.- 3. The Hydrodynamic Limit.- 4. Low Density Limit: The Boltzmann Equation.- 5. The Vlasov Equation.- 6. The Landau Equation.- 7. Time Correlations and Fluctuations.- 8. Dynamics of a Tracer Particle.- 9. The Role of Probability, Irreversibility.- II Stochastic Lattice Gases.- 1. Lattice Gases with Hard Core Exclusion.- 2. Equilibrium Fluctuations.- 3. Nonequilibrium Dynamics for Reversible Lattice Gases.- 4. Nonequilibrium Dynamics of Driven Lattice Gases.- 5. Beyond the Hydrodynamic Time Scale.- 6. Tracer Dynamics.- 7. Stochastic Models with a Single Conservation Law Other than Lattice Gases.- 8. Non-Hydrodynamic Limit Dynamics.- References.- List of Mathematical Symbols.