Stochastic Models for Many-Body Systems: II. Finite Systems and Statistical Non-Equilibrium (Classic Reprint) - Hardcover

Robert H. Kraichnan

Hardcover

ISBN 10: 0666790884 ISBN 13: 9780666790880

Publisher: Forgotten Books, 2018

Synopsis

Explore how finite systems behave under stochastic modeling and nonequilibrium dynamics.

This rigorous study develops new ways to sum propagator expansions and analyze correlation and Green’s functions in time-dependent ensembles.

This edition extends previous work to systems of any size, introducing collective field representations and stochastic couplings that link multiple, initially independent systems. It shows how finite-difference methods can test the validity of closed model equations beyond perturbation theory, with a careful look at convergence and diagrammatic contributions.

• Learn how collective field descriptions replace individual subsystems and how stochastic interactions create dynamic coupling.
• See how irreducible and linked-diagram expansions lead to formally closed equations for key quantities like propagators and correlation functions.
• Understand the role of finite-size effects and how the M → ∞ limit connects finite models to the infinite-system theory.
• Discover the non-equilibrium formalism adapted from turbulence theory and its relation to equilibrium results.

Ideal for readers of advanced statistical mechanics and quantum many-body theory who seek a rigorous, model-based approach to non-equilibrium dynamics in finite systems.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0666790884
• ISBN 13: 9780666790880
• Binding: Hardcover
• Number of pages: 102