This volume is the second edition of the elementary book on the Langevin equation method for the solution of problems involving the Brownian motion in a potential, with emphasis on modern applications in the natural sciences, electrical engineering and so on. It has been substantially enlarged to cover a number of new topics, such as anomalous diffusion, continuous time random walks and stochastic resonance, which are of major interest in view of the large number of disparate physical systems exhibiting these phenomena. The book has been written in such a way that all the material should be accessible to an advanced undergraduate or beginning graduate student. It draws together, in a coherent fashion, a variety of results which have hitherto been available only in the form of research papers or scattered review articles.
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First Sentence:
The first detailed account of Brownian motion was given by the eminent botanist Robert Brown in 1827 [1] while studying the plant life of the South Seas. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
integral relaxation time, smallest nonvanishing eigenvalue, effective eigenvalue method, noninertial limit, jump length variance, itinerant oscillator model, longitudinal autocorrelation function, tilted cosine potential, critical energy curve, dipole autocorrelation function, effective eigenvalue approach, reaction field parameter, sharp initial conditions, complex polarisability, fractal time random walk, high damping limit, high barrier limit, nonlinear dielectric relaxation, white noise driving force, low damping limit, uniaxial potential, barrier height parameter, single domain ferromagnetic particles, anomalous relaxation, fractional diffusion equation Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Oxford University Press, Cambridge University Press, Handbook of Mathematical Functions, Springer Verlag, Chemical Catalog, Condensed Matter, Faraday Soc, World Scientific, Academic Press, Fokker Planck, Handbook of Stochastic Methods, Liquid Cryst, Modern Nonlinear Optics, Stochastic Problems, Nonequilibrium Statistical Mechanics, Principles of Dielectrics, Quantum Theory of Angular Momentum, Series Editors, Statistical Physics, The English Universities Press New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The first detailed account of Brownian motion was given by the eminent botanist Robert Brown in 1827 [1] while studying the plant life of the South Seas. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
integral relaxation time, smallest nonvanishing eigenvalue, effective eigenvalue method, noninertial limit, jump length variance, itinerant oscillator model, longitudinal autocorrelation function, tilted cosine potential, critical energy curve, dipole autocorrelation function, effective eigenvalue approach, reaction field parameter, sharp initial conditions, complex polarisability, fractal time random walk, high damping limit, high barrier limit, nonlinear dielectric relaxation, white noise driving force, low damping limit, uniaxial potential, barrier height parameter, single domain ferromagnetic particles, anomalous relaxation, fractional diffusion equation Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Oxford University Press, Cambridge University Press, Handbook of Mathematical Functions, Springer Verlag, Chemical Catalog, Condensed Matter, Faraday Soc, World Scientific, Academic Press, Fokker Planck, Handbook of Stochastic Methods, Liquid Cryst, Modern Nonlinear Optics, Stochastic Problems, Nonequilibrium Statistical Mechanics, Principles of Dielectrics, Quantum Theory of Angular Momentum, Series Editors, Statistical Physics, The English Universities Press New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 60
books:
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- Modern Nonlinear Optics, 3 Part Set (Advances in Chemical Physics) (Pt. 1-3) by Myron W. Evans on 4 pages
- Handbook of Stochastic Methods: for Physics, Chemistry and the Natural Sciences (Springer Series in Synergetics) by Crispin Gardiner on 4 pages
- Statistical Mechanics (North-Holland Personal Library) by R. Kubo on page 168, page 235, and page 673
- Selected Papers on Noise and Stochastic Processes by Nelson Wax in Front Matter, page 165, and page 233
- Quantum Theory of Angular Momentum by D. A. Varshalovich on page 395, page 506, and page 598
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