The Langevin equation: with applications in physics, chemistry, and electrical engineering
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-...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c1996
|
| Series: | World Scientific series in contemporary chemical physics
v. 11 |
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | 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 |
| Physical Description: | xiii, 413 p. ill |
| ISBN: | 9789812831965 |
Staff View
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| isbn | 9789812831965 |
| language | English |
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| spelling | Coffey, William 1948- Verfasser aut The Langevin equation with applications in physics, chemistry, and electrical engineering W.T. Coffey, Yu. P. Kalmykov, J.T. Waldron Singapore World Scientific Pub. Co. c1996 xiii, 413 p. ill txt rdacontent c rdamedia cr rdacarrier World Scientific series in contemporary chemical physics v. 11 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 Langevin equations Brownian motion processes Langevin-Gleichung (DE-588)4166699-9 gnd rswk-swf Langevin-Gleichung (DE-588)4166699-9 s 1\p DE-604 Kalmykov, Yu. P. Sonstige oth Waldron, J. T. Sonstige oth Erscheint auch als Druck-Ausgabe 9789810216511 Erscheint auch als Druck-Ausgabe 9810216513 http://www.worldscientific.com/worldscibooks/10.1142/2256#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Coffey, William 1948- The Langevin equation with applications in physics, chemistry, and electrical engineering Langevin equations Brownian motion processes Langevin-Gleichung (DE-588)4166699-9 gnd |
| subject_GND | (DE-588)4166699-9 |
| title | The Langevin equation with applications in physics, chemistry, and electrical engineering |
| title_auth | The Langevin equation with applications in physics, chemistry, and electrical engineering |
| title_exact_search | The Langevin equation with applications in physics, chemistry, and electrical engineering |
| title_full | The Langevin equation with applications in physics, chemistry, and electrical engineering W.T. Coffey, Yu. P. Kalmykov, J.T. Waldron |
| title_fullStr | The Langevin equation with applications in physics, chemistry, and electrical engineering W.T. Coffey, Yu. P. Kalmykov, J.T. Waldron |
| title_full_unstemmed | The Langevin equation with applications in physics, chemistry, and electrical engineering W.T. Coffey, Yu. P. Kalmykov, J.T. Waldron |
| title_short | The Langevin equation |
| title_sort | the langevin equation with applications in physics chemistry and electrical engineering |
| title_sub | with applications in physics, chemistry, and electrical engineering |
| topic | Langevin equations Brownian motion processes Langevin-Gleichung (DE-588)4166699-9 gnd |
| topic_facet | Langevin equations Brownian motion processes Langevin-Gleichung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2256#t=toc |
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