The Langevin Equation (Series in Contemporary Chemical Physics #14): With Applications to Stochastic Problems in Physics, Chemistry and Electrical Engineering, Vol. 14
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This volume is the second edition of the 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 in a succinct manner a number of new topics, such as anomalous diffusion, continuous time random walks, stochastic resonance etc., which are of major current 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.
Preface to the second editionPreface to the first editionContentsCh. 1Historical background and introductory concepts1Ch. 2Langevin equations and methods of solution169Ch. 3Brownian motion of a free particle and a harmonic oscillator236Ch. 4Two-dimensional rotational Brownian motion in N-fold cosine potentials252Ch. 5Brownian motion in a tilted cosine potential : application to the Josephson tunnelling junction282Ch. 6Translational Brownian motion in a double-well potential309Ch. 7Three-dimensional rotational Brownian motion in an external potential : application to the theory of dielectric and magnetic relaxation325Ch. 8Rotational Brownian motion in axially symmetric potentials : matrix continued fraction solutions397Ch. 9Rotational Brownian motion in non-axially symmetric potentials468Ch. 10Inertial Langevin equations : application to orientational relaxation in liquids507Ch. 11Anomalous diffusion600Index675
