Stochastic Models for Many-Body Systems: II. Finite Systems and Statistical Non-Equilibrium (Classic Reprint) - Softcover
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.
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Stochastic Models for Many-Body Systems: II (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book presents an innovative method for understanding the dynamic behavior of a collection of interacting particles. The author describes an analogy between interacting many-particle systems and stochastic processes. Starting from well-established theory, the author develops new methods for deriving approximations that describe the behavior of such systems using stochastic models. The resulting models demonstrate boundedness properties that are common to the real systems, and that are absent in traditional many-body approximations. The author further demonstrates that these models may be used to derive formally exact and closed equations through diagram expansions, which have closed analytical solutions. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332200634_0
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Stochastic Models for ManyBody Systems II Finite Systems and Statistical NonEquilibrium Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332200634
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Stochastic Models for ManyBody Systems II Finite Systems and Statistical NonEquilibrium Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332200634
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