An Introduction to Stochastic Processes... | WHSmith Books
An Introduction to Stochastic Processes in Physics

An Introduction to Stochastic Processes in Physics

By: Don Lemons (author)Paperback

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Description

This book provides an accessible introduction to stochastic processes in physics and 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.An Introduction to Stochastic Processes in Physics builds directly upon early-twentieth-century explanations of the "peculiar character in the motions of the particles of pollen in water" as described, in the early nineteenth 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 will find this book a useful aid to learning the unfamiliar mathematical aspects of stochastic processes while applying them to physical processes that he or she has already encountered.

About Author

Don S. Lemons is a professor of physics at Bethel College in Kansas and consults at Los Alamos National Laboratory.

Contents

Contents:Preface and AcknowledgmentsChapter 1: Random VariablesChapter 2: Expected ValuesChapter 3: Random StepsChapter 4: Continuous Random VariablesChapter 5: Normal Variable TheoremsChapter 6: Einstein's Brownian MotionChapter 7: Ornstein-Uhlenbeck ProcessesChapter 8: Langevin's Brownian MotionChapter 9: Other Physical ProcessesChapter 10: Fluctuations without DissipationAppendix A: "On the Theory of Brownian Motion," by Paul Langevin, translated by Anthony GythielAppendix B: Kinetic EquationsAnswers to ProblemsReferencesIndex

Product Details

  • ISBN13: 9780801868672
  • Format: Paperback
  • Number Of Pages: 128
  • ID: 9780801868672
  • weight: 181
  • ISBN10: 080186867X

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