Stochastic Processes in Physics and ChemistryThe third edition of Van Kampen's standard work has been revised and updated. The main difference with the second edition is that the contrived application of the quantum master equation in section 6 of chapter XVII has been replaced with a satisfactory treatment of quantum fluctuations. Apart from that throughout the text corrections have been made and a number of references to later developments have been included. From the recent textbooks the following are the most relevant. C.W.Gardiner, Quantum Optics (Springer, Berlin 1991) D.T. Gillespie, Markov Processes (Academic Press, San Diego 1992) W.T. Coffey, Yu.P.Kalmykov, and J.T.Waldron, The Langevin Equation (2nd edition, World Scientific, 2004)

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Contents
1  
30  
Chapter III STOCHASTIC PROCESSES  52 
Chapter IV MARKOV PROCESSES  73 
Chapter V THE MASTER EQUATION  96 
Chapter VI ONESTEP PROCESSES  134 
Chapter VII CHEMICAL REACTIONS  166 
Chapter VIII THE FOKKERPLANCK EQUATION  193 
Chapter XI THE DIFFUSION TYPE  273 
Chapter XII FIRSTPASSAGE PROBLEMS  292 
Chapter XIII UNSTABLE SYSTEMS  326 
Chapter XIV FLUCTUATIONS IN CONTINUOUS SYSTEMS  363 
Chapter XV THE STATISTICS OF JUMP EVENTS  383 
Chapter XVI STOCHASTIC DIFFERENTIAL EQUATIONS  396 
Chapter XVII STOCHASTIC BEHAVIOR OF QUANTUM SYSTEMS  422 
457  
Common terms and phrases
according additional applies approximation average boundary called chapter coefficients compute condition Consider constant corresponding course defined definition density depends Derive described determined diffusion distribution energy equal equilibrium example Exercise expansion expression fact factor Find fluctuations Fokker–Planck equation function Gaussian given gives Hence higher identity independent initial integral interval jump limit linear Mequation macroscopic Markov process master equation matrix mean mechanics method molecules moments needed noise nonlinear obeys obtained occur operator particle Phys physical positive possible potential probability probability distribution problem properties Prove quantity quantum quantum mechanics random reaction reduces relation result Show solution solved space stationary stationary solution Statist step stochastic stochastic differential equation Suppose theory tion transformation transition unit vanishes variables write written zero
Popular passages
Page vii  Que nous sertil d'avoir la panse pleine de viande, si elle ne se digère? si elle ne se transforme en nous? si elle ne nous augmente et fortifie...
Page vii  The interest in fluctuations and in the stochastic method for describing them has grown enormously in the last few decades. The number of articles scattered in the literature of various disciplines must run to thousands and special journals are devoted to the subject. Yet the physicist or chemist who wants to become acquainted with the field cannot easily find a suitable introduction. This book is an attempt to fill this gap in the literature. The first part consists of an introductory exposition...
Page vii  ... enormously in the last few decades. The number of articles scattered in the literature of various disciplines must run to thousands and special journals are devoted to the subject. Yet the physicist or chemist who wants to become acquainted with the field cannot easily find a suitable introduction. This book is an attempt to fill this gap in the literature. The first part consists of an introductory exposition of probability, random events, and stochastic processes as they occur in physics, chemistry...
Page x  An Introduction to Probability Theory and its Applications. Vol. I, 2nd Edition. Wiley, New York.
Page x  Topics in the THeory of Random Noise", Vol. I., RA Silverman, tr., Gordon and Breach, New York, 1963, Ch.