World Scientific Series In Contemporary Chemical Physics: Langevin Equation, The: With Applications To Stochastic Problems In Physics, Chemistry And Electrical Engineering (3rd Edition) (ePub)

This volume is the third edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the translational and rotational Brownian motion of particles and spins in a potential highlighting modern applications in physics, chemistry, electrical engineering, and so on. In order to improve the presentation, to accommodate all the new developments, and to appeal to the specialized interests of the various communities involved, the book has been extensively rewritten and a very large amount of new material has been added. This has been done in order to present a comprehensive overview of the subject emphasizing via a synergetic approach that seemingly unrelated physical problems involving random noise may be described using virtually identical mathematical methods in the spirit of the founders of the subject, viz., Einstein, Langevin, Smoluchowski, Kramers, etc. The book has been written in such a way that all the material should be accessible both to an advanced researcher and a beginning graduate student. It draws together, in a coherent fashion, a variety of results which have hitherto been available only in the form of scattered research papers and review articles.Contents:Historical Background and Introductory ConceptsLangevin Equations and Methods of SolutionBrownian Motion of a Free Particle and a Harmonic OscillatorRotational Brownian Motion About a Fixed Axis in N-Fold Cosine PotentialsBrownian Motion in a Tilted Periodic Potential: Application to the Josephson Tunnelling JunctionTranslational Brownian Motion in a Double-Well PotentialNon-inertial Rotational Diffusion in Axially Symmetric External Potentials: Applications to Orientational Relaxation of Molecules in Fluids and Liquid CrystalsAnisotropic Non-inertial Rotational Diffusion in an External Potential: Application to Linear and Nonlinear Dielectric Relaxation and the Dynamic Kerr EffectBrownian Motion of Classical Spins: Application to Magnetization Relaxation in SuperparamagnetsInertial Effects in Rotational and Translational Brownian Motion for a Single Degree of FreedomInertial Effects in Rotational Diffusion in Space: Application to Orientational Relaxation in Molecular Liquids and FerrofluidsAnomalous Diffusion and RelaxationReadership: Advanced undergraduates, postgraduates, academics and researchers in statistical physics, condensed matter physics and magnetism, chemical physics, theoretical chemistry and applied mathematics.