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Dissipative systems from mechanical and thermodynamical points of view. Noise, fluctuation and relaxation in simple models Second Edition
В наличии
Местонахождение: Алматы | Состояние экземпляра: новый |
Бумажная
версия
версия
Автор: Michele Battezzati
ISBN: 9786204717494
Год издания: 1905
Формат книги: 60×90/16 (145×215 мм)
Количество страниц: 120
Издательство: LAP LAMBERT Academic Publishing
Цена: 32599 тг
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Аннотация: 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.
Ключевые слова: Brownian motion, Langevin equation, Diffusion equation, path integrals, stochastic thermodynamics, fluctuation theorem
Похожие издания
Отрасли знаний: Естественные науки -> Физика Michele Battezzati Dissipative systems from mechanical and thermodynamical point of view. Fluctuation and relaxation in unidimensional models. 2016 г., 80 стр., мягкий переплет This book is intended to illustrate the fluctuating behaviour of a small machanical system in tight interaction with a heat bath, thereby experiencing frictional forces and stochastic random forces. The model is a one-dimensional classical mechanical system described by Langevin equation including inertia. The equation of motion is reduced to... | 18595 тг |