
Langevin Equation, The: With Applications To Stochastic Problems In Physics, Chemistry And Electrical Engineering
World Scientific Publishing Co Pte Ltd
Published on 4. March 2004
Book
Hardback
704 pages
978-981-238-462-1 (ISBN)
Description
This volume is the second edition of the first-ever 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 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.
Reviews / Votes
"This enlarged and updated second edition of the book: 'The Langevin equation' presents an extremely useful source for the practitioners of stochastic processes and its applications to physics, chemistry, engineering and biological physics, both for the experts and the beginners. It gives a valuable survey of solvable paradigms that rule many diverse stochastic phenomena. As such, it belongs onto the desk of all engaged in doing research and teaching in this area."Peter HanggiUniversity of Augsburg"... this enlarged and updated second edition constitutes an excellent and quite useful contribution to this important subject of relevance in physics, chemistry and several branches of engineering."Mathematical Reviews"This is a timely update of the theory and applications of the Langevin equation, which skillfully combines the elementary approaches with most recent developments such as anomalous diffusion and fractional kinetics. Both experts and beginners will benefit from this well-written textbook."J KlafterHeinemann Chair of Physical ChemistryTel Aviv University"This book has been written in such a way that all the materials 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."Zentralblatt MATHMore details
Series
Edition
Second Edition
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 236 mm
Width: 162 mm
Thickness: 39 mm
Weight
1098 gr
ISBN-13
978-981-238-462-1 (9789812384621)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Author
Trinity College Dublin, Ireland
Univ De Perpignan Via Domitia, France
Trinity College, Ireland
Content
Historical Background and Introductory Concepts; Langevin Equations and Methods of Solution; Matrix Continued Fraction Method for the Solution of Langevin and Fokker-Planck Equations; Linear and Nonlinear Response Theory; Brownian Motion of a Free Particle and a Harmonic Oscillator; One-Dimensional Rotational Brownian Motion in a Potential; Brownian Motion in a Tilted Cosine Potential: Application to the Josephson Tunnelling Junction; Rotational Brownian Motion in an External Potential with Applications to Dielectric and Magnetic Relaxation; Non-Axially Symmetric Problems in Rotational Brownian Motion: Applications to the Theory of Superparamagnetism; Inertial Langevin Equations: Application to Orientational Relaxation in Liquids; Itinerant Oscillator Model; Anomalous Diffusion; Methods for the Solution of Fractional Fokker-Planck Equations.