Langevin Equation, The: With Applications In Physics, Chemistry And Electrical Engineering
Seiten
1996
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-1651-1 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-1651-1 (ISBN)
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Suitable for lecture courses on Brownian motion, this study includes coverage of the following topics: white noise; the Chapman-Kolmogorov equation - Kramers-Moyal expansion; Langevin equation; Fokker-Planck equation; Brownian motion of a free particle; and spectral density.
The book is suitable for a lecture course on the theory of Brownian motion, being based on final year undergraduate lectures given at Trinity College, Dublin. Topics that are discussed include: white noise; the Chapman-Kolmogorov equation — Kramers-Moyal expansion; the Langevin equation; the Fokker-Planck equation; Brownian motion of a free particle; spectral density and the Wiener-Khintchin theorem — Brownian motion in a potential application to the Josephson effect, ring laser gyro; Brownian motion in two dimensions; harmonic oscillators; itinerant oscillators; linear response theory; rotational Brownian motion; application to loss processes in dielectric and ferrofluids; superparamagnetism and nonlinear relaxation processes.As the first elementary book on the Langevin equation approach to Brownian motion, this volume attempts to fill in all the missing details which students find particularly hard to comprehend from the fundamental papers contained in the Dover reprint — Selected Papers on Noise and Stochastic Processes, ed. N Wax (1954) — together with modern applications particularly to relaxation in ferrofluids and polar dielectrics.
The book is suitable for a lecture course on the theory of Brownian motion, being based on final year undergraduate lectures given at Trinity College, Dublin. Topics that are discussed include: white noise; the Chapman-Kolmogorov equation — Kramers-Moyal expansion; the Langevin equation; the Fokker-Planck equation; Brownian motion of a free particle; spectral density and the Wiener-Khintchin theorem — Brownian motion in a potential application to the Josephson effect, ring laser gyro; Brownian motion in two dimensions; harmonic oscillators; itinerant oscillators; linear response theory; rotational Brownian motion; application to loss processes in dielectric and ferrofluids; superparamagnetism and nonlinear relaxation processes.As the first elementary book on the Langevin equation approach to Brownian motion, this volume attempts to fill in all the missing details which students find particularly hard to comprehend from the fundamental papers contained in the Dover reprint — Selected Papers on Noise and Stochastic Processes, ed. N Wax (1954) — together with modern applications particularly to relaxation in ferrofluids and polar dielectrics.
The concept of a random process; the Brownian motion of a free particle - the velocity distribution; the Brownian motion of a free particle - the distribution of the displacements; one-dimensional Brownian motion in a potential excluding inertia effects; the multi-dimensional Langevin equation; rotational Brownian motion application to relaxation and loss processes in electric and magnetic fields.
| Erscheint lt. Verlag | 3.7.1996 |
|---|---|
| Reihe/Serie | World Scientific Series In Contemporary Chemical Physics ; 10 |
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
| Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik | |
| ISBN-10 | 981-02-1651-3 / 9810216513 |
| ISBN-13 | 978-981-02-1651-1 / 9789810216511 |
| Zustand | Neuware |
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