Dynamics of Nonlinear Stochastic Systems (Classic Reprint)

Lingua: inglese

Editore: Forgotten Books, 2018

1334016909 / 9781334016905

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Print on Demand. This book introduces a method for treating complex nonlinear stochastic systems, which is relevant for both the quantum-mechanical many-body problem and turbulence theory. The technique involves replacing the true problem by models that lead to closed equations for correlation functions and averaged Green's functions. Remarkably, solutions for these models are exact descriptions of possible dynamical systems, providing certain consistency properties inherent to the true problem. For example, spectral components of Green's functions that must be positive-definite in the true problem are automatically so in the models. These properties are often absent in truncated perturbation expansions, which the author shows can exhibit pathological characteristics and lead to physically unacceptable results. The author applies the method to a linear oscillator with random frequency parameter and demonstrates that the model solutions converge rapidly to the exact solution for the true problem. They also formulate stochastic models for the Schrodinger equation of a particle in a random potential and for Burgers' analog to turbulence dynamics, obtaining closed model equations that determine the average Green's function, the amplitude of the mean field, and the covariance of the fluctuating field. These insights suggest a potentially valuable application of this method: it could help assess the validity of partial summations of perturbation series in analogous situations. 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.

Codice articolo 9781334016905_0

Titolo
Dynamics of Nonlinear Stochastic Systems (Classic Reprint)
Autore
Robert H. Kraichnan
Editore
Forgotten Books
Anno di pubblicazione
2018
Condizione
New
Tipo di libro
print-on-demand item
Rilegatura
Paperback
Lingua
inglese
ISBN 10
1334016909
ISBN 13
9781334016905
Cataloghi dei venditori
Calculus

Forgotten Books

London, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 2 giugno 2021

Tariffe di spedizione da Regno Unito a U.S.A.

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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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