Dissipative systems from mechanical and thermodynamical points of view

Language: English

Published by LAP LAMBERT Academic Publishing Nov 2021, 2021

6204717499 / 9786204717494

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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Softcover

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This item is printed on demand - it takes 3-4 days longer - Neuware -This book is intended to illustrate fluctuating behaviour and relevant properties of a small mechanical system in tight interaction with a heat bath, thereby experiencing position dependent frictional forces and stochastic random forces. It is focused on a one-dimensional classical mechanical system described by Langevin equation including inertia, driven by Gaussian white noise. The equation of motion is reduced to first order in time by solving the appropriate Hamilton-Jacobi equation with friction. The velocity is split into two components related to drift and diffusion respectively. The coefficients of the diffusion equation are evaluated up to third order in the asymptotic expansion for large friction. The Onsager-Machlup functional yielding the two-time transition probability density follows from Feynman-Kac path integral. In the alternative approach, the free energy variation of the small system is evaluated in terms of mechanical variable displacements, from which fluctuation probabilities follow by Einstein principle. The corresponding functional integral is recast into the form of OM functional by imposition of a constraint on the mean value of kinetic energy. 120 pp. Englisch.…

Seller Inventory # 9786204717494

Title
Dissipative systems from mechanical and thermodynamical points of view
Author
Michele Battezzati
Publisher
LAP LAMBERT Academic Publishing Nov 2021
Publication year
2021
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
6204717499
ISBN 13
9786204717494
Item weight
197 grams
Dimensions
220x150x8 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

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BuchWeltWeit Ludwig Meier e.K.

Germany