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

Robert H. Kraichnan

9780666790880: Stochastic Models for Many-Body Systems: II. Finite Systems and Statistical Non-Equilibrium (Classic Reprint)

Hardcover

ISBN 10: 0666790884 ISBN 13: 9780666790880

Publisher: Forgotten Books, 2018

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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.

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