An Introduction to Stochastic Processes in Physics
Seiten
2002
Johns Hopkins University Press (Verlag)
978-0-8018-6866-5 (ISBN)
Johns Hopkins University Press (Verlag)
978-0-8018-6866-5 (ISBN)
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An accessible introduction to stochastic processes in physics which describes the basic mathematical tools of the trade: probability, random walks, and Wiener and Ornstein-Uhlen beck processes. It includes end-of-chapter problems and emphasizes applications.
An accessible introduction to stochastic processes in physics which describes the basic mathematical tools of the trade: probability, random walks, and Wiener and Ornstein-Uhlenbeck processes. It includes end-of-chapter problems and emphasizes applications. The book builds directly upon early-20th-century explanations of the "peculiar character in the motions of the particles of pollen in water" as described, in the early 19th century, by the biologist Robert Brown. Lemons has adopted Paul Langevin's 1908 approach of applying Newton's second law to a "Brownian particle on which the total force included a random component" to explain Brownian motion. This method builds on Newtonian dynamics and provides an accessible explanation to anyone approaching the subject for the first time. Students should find this book a useful aid to learning the unfamiliar mathematical aspects of stochastic processes while applying them to physical processes that they have already encountered.
An accessible introduction to stochastic processes in physics which describes the basic mathematical tools of the trade: probability, random walks, and Wiener and Ornstein-Uhlenbeck processes. It includes end-of-chapter problems and emphasizes applications. The book builds directly upon early-20th-century explanations of the "peculiar character in the motions of the particles of pollen in water" as described, in the early 19th century, by the biologist Robert Brown. Lemons has adopted Paul Langevin's 1908 approach of applying Newton's second law to a "Brownian particle on which the total force included a random component" to explain Brownian motion. This method builds on Newtonian dynamics and provides an accessible explanation to anyone approaching the subject for the first time. Students should find this book a useful aid to learning the unfamiliar mathematical aspects of stochastic processes while applying them to physical processes that they have already encountered.
Don S. Lemons is a professor of physics at Bethel College in Kansas and consults at Los Alamos National Laboratory.
Preface and Acknowledgments
Chapter 1. Random Variables
Chapter 2. Expected Values
Chapter 3. Random Steps
Chapter 4. Continuous Random Variables
Chapter 5. Normal Variable Theorems
Chapter 6. Einstein's Brownian Motion
Chapter 7. Ornstein-Uhlenbeck Processes
Chapter 8. Langevin's Brownian Motion
Chapter 9. Other Physical Processes
Chapter 10. Fluctuations without Dissipation
Appendix A. "On the Theory of Brownian Motion," by Paul Langevin, translated by Anthony Gythiel
Appendix B. Kinetic Equations
Answers to Problems
References
Index
| Erscheint lt. Verlag | 16.8.2002 |
|---|---|
| Zusatzinfo | 27 Line drawings, black and white |
| Verlagsort | Baltimore, MD |
| Sprache | englisch |
| Maße | 140 x 216 mm |
| Gewicht | 272 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-10 | 0-8018-6866-1 / 0801868661 |
| ISBN-13 | 978-0-8018-6866-5 / 9780801868665 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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