Stochastic Processes in Physics and Chemistry

Stochastic Processes in Physics and Chemistry
Author: N.G. Van Kampen
Publsiher: Elsevier
Total Pages: 480
Release: 1992-11-20
ISBN 10: 0080571387
ISBN 13: 9780080571386
Language: EN, FR, DE, ES & NL

Stochastic Processes in Physics and Chemistry Book Review:

This new edition of Van Kampen's standard work has been completely revised and updated. Three major changes have also been made. The Langevin equation receives more attention in a separate chapter in which non-Gaussian and colored noise are introduced. Another additional chapter contains old and new material on first-passage times and related subjects which lay the foundation for the chapter on unstable systems. Finally a completely new chapter has been written on the quantum mechanical foundations of noise. The references have also been expanded and updated.

Stochastic Processes in Physics and Chemistry

Stochastic Processes in Physics and Chemistry
Author: N.G. Van Kampen
Publsiher: Elsevier
Total Pages: 464
Release: 2011-08-30
ISBN 10: 9780080475363
ISBN 13: 0080475361
Language: EN, FR, DE, ES & NL

Stochastic Processes in Physics and Chemistry Book Review:

The 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) Comprehensive coverage of fluctuations and stochastic methods for describing them A must for students and researchers in applied mathematics, physics and physical chemistry

Stochastic Processes in Physics and Chemistry

Stochastic Processes in Physics and Chemistry
Author: N. G. van Kampen
Publsiher: North Holland
Total Pages: 419
Release: 1981
ISBN 10:
ISBN 13: UOM:39015053348259
Language: EN, FR, DE, ES & NL

Stochastic Processes in Physics and Chemistry Book Review:

This new edition of Van Kampen's standard work has been completely revised and updated. Three major changes have also been made. The Langevin equation receives more attention in a separate chapter in which non-Gaussian and colored noise are introduced. Another additional chapter contains old and new material on first-passage times and related subjects which lay the foundation for the chapter on unstable systems. Finally a completely new chapter has been written on the quantum mechanical foundations of noise. The references have also been expanded and updated.

Stochastic Processes in Physics Chemistry and Biology

Stochastic Processes in Physics  Chemistry  and Biology
Author: Jan A. Freund,Thorsten Pöschel
Publsiher: Springer
Total Pages: 518
Release: 2008-01-11
ISBN 10: 3540453962
ISBN 13: 9783540453963
Language: EN, FR, DE, ES & NL

Stochastic Processes in Physics Chemistry and Biology Book Review:

The theory of stochastic processes originally grew out of efforts to describe Brownian motion quantitatively. Today it provides a huge arsenal of methods suitable for analyzing the influence of noise on a wide range of systems. The credit for acquiring all the deep insights and powerful methods is due ma- ly to a handful of physicists and mathematicians: Einstein, Smoluchowski, Langevin, Wiener, Stratonovich, etc. Hence it is no surprise that until - cently the bulk of basic and applied stochastic research was devoted to purely mathematical and physical questions. However, in the last decade we have witnessed an enormous growth of results achieved in other sciences - especially chemistry and biology - based on applying methods of stochastic processes. One reason for this stochastics boom may be that the realization that noise plays a constructive rather than the expected deteriorating role has spread to communities beyond physics. Besides their aesthetic appeal these noise-induced, noise-supported or noise-enhanced effects sometimes offer an explanation for so far open pr- lems (information transmission in the nervous system and information p- cessing in the brain, processes at the cell level, enzymatic reactions, etc.). They may also pave the way to novel technological applications (noise-- hanced reaction rates, noise-induced transport and separation on the na- scale, etc.). Key words to be mentioned in this context are stochastic r- onance, Brownian motors or ratchets, and noise-supported phenomena in excitable systems.

Stochastic Processes for Physicists

Stochastic Processes for Physicists
Author: Kurt Jacobs
Publsiher: Cambridge University Press
Total Pages: 204
Release: 2010-02-18
ISBN 10: 1139486799
ISBN 13: 9781139486798
Language: EN, FR, DE, ES & NL

Stochastic Processes for Physicists Book Review:

Stochastic processes are an essential part of numerous branches of physics, as well as in biology, chemistry, and finance. This textbook provides a solid understanding of stochastic processes and stochastic calculus in physics, without the need for measure theory. In avoiding measure theory, this textbook gives readers the tools necessary to use stochastic methods in research with a minimum of mathematical background. Coverage of the more exotic Levy processes is included, as is a concise account of numerical methods for simulating stochastic systems driven by Gaussian noise. The book concludes with a non-technical introduction to the concepts and jargon of measure-theoretic probability theory. With over 70 exercises, this textbook is an easily accessible introduction to stochastic processes and their applications, as well as methods for numerical simulation, for graduate students and researchers in physics.

Stochastic Processes in Chemical Physics

Stochastic Processes in Chemical Physics
Author: K. E. Shuler
Publsiher: John Wiley & Sons
Total Pages: 391
Release: 2009-09-08
ISBN 10: 0470144009
ISBN 13: 9780470144008
Language: EN, FR, DE, ES & NL

Stochastic Processes in Chemical Physics Book Review:

The Advances in Chemical Physics series provides the chemical physics and physical chemistry fields with a forum for critical, authoritative evaluations of advances in every area of the discipline. Filled with cutting-edge research reported in a cohesive manner not found elsewhere in the literature, each volume of the Advances in Chemical Physics series serves as the perfect supplement to any advanced graduate class devoted to the study of chemical physics.

Stochastic Processes in Quantum Physics

Stochastic Processes in Quantum Physics
Author: Masao Nagasawa
Publsiher: Birkhäuser
Total Pages: 598
Release: 2012-12-06
ISBN 10: 3034883838
ISBN 13: 9783034883832
Language: EN, FR, DE, ES & NL

Stochastic Processes in Quantum Physics Book Review:

From the reviews: "The text is almost self-contained and requires only an elementary knowledge of probability theory at the graduate level. The book under review is recommended to mathematicians, physicists and graduate students interested in mathematical physics and stochastic processes. Furthermore, some selected chapters can be used as sub-textbooks for advanced courses on stochastic processes, quantum theory and quantum chemistry." ZAA

An Introduction to Stochastic Processes in Physics

An Introduction to Stochastic Processes in Physics
Author: Don S. Lemons,Paul Langevin
Publsiher: JHU Press
Total Pages: 110
Release: 2002-06-21
ISBN 10: 9780801868672
ISBN 13: 080186867X
Language: EN, FR, DE, ES & NL

An Introduction to Stochastic Processes in Physics Book Review:

This book provides an accessible introduction to stochastic processes in physics and describes the basic mathematical tools of the trade: probability, random walks, and Wiener and Ornstein-Uhlenbeck processes. It includes end-of-chapter problems and emphasizes applications. An Introduction to Stochastic Processes in Physics builds directly upon early-twentieth-century explanations of the "peculiar character in the motions of the particles of pollen in water" as described, in the early nineteenth century, by the biologist Robert Brown. Lemons has adopted Paul Langevin's 1908 approach of applying Newton's second law to a "Brownian particle on which the total force included a random component" to explain Brownian motion. This method builds on Newtonian dynamics and provides an accessible explanation to anyone approaching the subject for the first time. Students will find this book a useful aid to learning the unfamiliar mathematical aspects of stochastic processes while applying them to physical processes that he or she has already encountered.

Stochastic Processes

Stochastic Processes
Author: Wolfgang Paul,Jörg Baschnagel
Publsiher: Springer Science & Business Media
Total Pages: 280
Release: 2013-07-11
ISBN 10: 3319003275
ISBN 13: 9783319003276
Language: EN, FR, DE, ES & NL

Stochastic Processes Book Review:

This book introduces the theory of stochastic processes with applications taken from physics and finance. Fundamental concepts like the random walk or Brownian motion but also Levy-stable distributions are discussed. Applications are selected to show the interdisciplinary character of the concepts and methods. In the second edition of the book a discussion of extreme events ranging from their mathematical definition to their importance for financial crashes was included. The exposition of basic notions of probability theory and the Brownian motion problem as well as the relation between conservative diffusion processes and quantum mechanics is expanded. The second edition also enlarges the treatment of financial markets. Beyond a presentation of geometric Brownian motion and the Black-Scholes approach to option pricing as well as the econophysics analysis of the stylized facts of financial markets, an introduction to agent based modeling approaches is given.

Stochastic Processes in Chemical Physics

Stochastic Processes in Chemical Physics
Author: K. E. Shuler
Publsiher: Wiley-Interscience
Total Pages: 754
Release: 2006-12-05
ISBN 10: 9780470143605
ISBN 13: 0470143606
Language: EN, FR, DE, ES & NL

Stochastic Processes in Chemical Physics Book Review:

The Advances in Chemical Physics series provides the chemical physics and physical chemistry fields with a forum for critical, authoritative evaluations of advances in every area of the discipline. Filled with cutting-edge research reported in a cohesive manner not found elsewhere in the literature, each volume of the Advances in Chemical Physics series serves as the perfect supplement to any advanced graduate class devoted to the study of chemical physics.

Stochasticity in Processes

Stochasticity in Processes
Author: Peter Schuster
Publsiher: Springer
Total Pages: 718
Release: 2016-10-14
ISBN 10: 3319395025
ISBN 13: 9783319395029
Language: EN, FR, DE, ES & NL

Stochasticity in Processes Book Review:

This book has developed over the past fifteen years from a modern course on stochastic chemical kinetics for graduate students in physics, chemistry and biology. The first part presents a systematic collection of the mathematical background material needed to understand probability, statistics, and stochastic processes as a prerequisite for the increasingly challenging practical applications in chemistry and the life sciences examined in the second part. Recent advances in the development of new techniques and in the resolution of conventional experiments at nano-scales have been tremendous: today molecular spectroscopy can provide insights into processes down to scales at which current theories at the interface of physics, chemistry and the life sciences cannot be successful without a firm grasp of randomness and its sources. Routinely measured data is now sufficiently accurate to allow the direct recording of fluctuations. As a result, the sampling of data and the modeling of relevant processes are doomed to produce artifacts in interpretation unless the observer has a solid background in the mathematics of limited reproducibility. The material covered is presented in a modular approach, allowing more advanced sections to be skipped if the reader is primarily interested in applications. At the same time, most derivations of analytical solutions for the selected examples are provided in full length to guide more advanced readers in their attempts to derive solutions on their own. The book employs uniform notation throughout, and a glossary has been added to define the most important notions discussed.

An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics

An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics
Author: Horacio S Wio
Publsiher: World Scientific
Total Pages: 232
Release: 1994-02-07
ISBN 10: 9814502650
ISBN 13: 9789814502658
Language: EN, FR, DE, ES & NL

An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics Book Review:

The purpose of this textbook is to bring together, in a self-contained introductory form, the scattered material in the field of stochastic processes and statistical physics. It offers the opportunity of being acquainted with stochastic, kinetic and nonequilibrium processes. Although the research techniques in these areas have become standard procedures, they are not usually taught in the normal courses on statistical physics. For students of physics in their last year and graduate students who wish to gain an invaluable introduction on the above subjects, this book is a necessary tool. Contents:Stochastic Processes and the Master Equation:Stochastic ProcessesMarkovian ProcessesMaster EquationsKramers Moyal ExpansionBrownian Motion, Langevin and Fokker-Planck EquationsDistributions, BBGKY Hierarchy, Density Operator:Probability Density as a FluidBBGKY HierarchyMicroscopic Balance EquationsDensity OperatorLinear Nonequilibrium Thermodynamics and Onsager Relations:Onsager Regression to Equilibrium HypothesisOnsager RelationsMinimum Production of EntropyLinear Response Theory, Fluctuation-Dissipation Theorem:Correlation Functions: Definitions and PropertiesLinear Response TheoryFluctuation-Dissipation TheoremInstabilities and Far from Equilibrium Phase-Transitions:Limit Cycles, Bifurcations, Symmetry BreakingNoise Induced TransitionsFormation and Propagation of Patterns in Far from Equilibrium Systems:Reaction-Diffusion Descriptions and Pattern FormationPattern Propagation Readership: Graduate students in physics and chemistry. keywords:Stochastic Processes;Langevin and Fokker-Planck Equations;Statistical Physics;Onsager Relations;Linear Response;Nonequilibrium Statistical Physics;Transport Processes;Noise Induced Transitions;Instabilities;Pattern Formation and Propagation “This book introduces ways to investigate nonequilibrium statistical physics, mainly via stochastic processes, and presents results achieved with such methodology … it is suitable for seminars directed towards relatively mature students in theoretical physics or applied mathematics.” H Muthsam “The present book is a good choice for a single book covering the field … suitable for undergraduate students in the last year and graduate students. They will find in it a suggestive introduction that motivates them to dig deeper into the field and to look for those topics omitted from the text … highly recommended to anyone interested in becoming acquainted with nonequilibrium statistical physics.” Journal of Statistical Physics

The Langevin Equation

The Langevin Equation
Author: William Coffey,Yu. P. Kalmykov,J. T. Waldron
Publsiher: World Scientific
Total Pages: 413
Release: 1996
ISBN 10: 9789810216511
ISBN 13: 9810216513
Language: EN, FR, DE, ES & NL

The Langevin Equation Book Review:

The book is suitable for a lecture course on the theory of Brownian motion, being based on final year undergraduate lectures given at Trinity College, Dublin. Topics that are discussed include: white noise; the Chapman-Kolmogorov equation ? Kramers-Moyal expansion; the Langevin equation; the Fokker-Planck equation; Brownian motion of a free particle; spectral density and the Wiener-Khintchin theorem ? Brownian motion in a potential application to the Josephson effect, ring laser gyro; Brownian motion in two dimensions; harmonic oscillators; itinerant oscillators; linear response theory; rotational Brownian motion; application to loss processes in dielectric and ferrofluids; superparamagnetism and nonlinear relaxation processes.As the first elementary book on the Langevin equation approach to Brownian motion, this volume attempts to fill in all the missing details which students find particularly hard to comprehend from the fundamental papers contained in the Dover reprint ? Selected Papers on Noise and Stochastic Processes, ed. N Wax (1954) ? together with modern applications particularly to relaxation in ferrofluids and polar dielectrics.

Stochastic Processes in Polymeric Fluids

Stochastic Processes in Polymeric Fluids
Author: Hans C. Öttinger
Publsiher: Springer Science & Business Media
Total Pages: 362
Release: 2012-12-06
ISBN 10: 3642582907
ISBN 13: 9783642582905
Language: EN, FR, DE, ES & NL

Stochastic Processes in Polymeric Fluids Book Review:

This book consists of two strongly interweaved parts: the mathematical theory of stochastic processes and its applications to molecular theories of polymeric fluids. The comprehensive mathematical background provided in the first section will be equally useful in many other branches of engineering and the natural sciences. The second part provides readers with a more direct understanding of polymer dynamics, allowing them to identify exactly solvable models more easily, and to develop efficient computer simulation algorithms in a straightforward manner. In view of the examples and applications to problems taken from the front line of science, this volume may be used both as a basic textbook or as a reference book. Program examples written in FORTRAN are available via ftp from ftp.springer.de/pub/chemistry/polysim/.

Stochastic Processes and Applications

Stochastic Processes and Applications
Author: Grigorios A. Pavliotis
Publsiher: Springer
Total Pages: 339
Release: 2014-11-19
ISBN 10: 1493913239
ISBN 13: 9781493913237
Language: EN, FR, DE, ES & NL

Stochastic Processes and Applications Book Review:

This book presents various results and techniques from the theory of stochastic processes that are useful in the study of stochastic problems in the natural sciences. The main focus is analytical methods, although numerical methods and statistical inference methodologies for studying diffusion processes are also presented. The goal is the development of techniques that are applicable to a wide variety of stochastic models that appear in physics, chemistry and other natural sciences. Applications such as stochastic resonance, Brownian motion in periodic potentials and Brownian motors are studied and the connection between diffusion processes and time-dependent statistical mechanics is elucidated. The book contains a large number of illustrations, examples, and exercises. It will be useful for graduate-level courses on stochastic processes for students in applied mathematics, physics and engineering. Many of the topics covered in this book (reversible diffusions, convergence to equilibrium for diffusion processes, inference methods for stochastic differential equations, derivation of the generalized Langevin equation, exit time problems) cannot be easily found in textbook form and will be useful to both researchers and students interested in the applications of stochastic processes.

Stochastic Processes

Stochastic Processes
Author: Robert G. Gallager
Publsiher: Cambridge University Press
Total Pages: 568
Release: 2013-12-12
ISBN 10: 1107435315
ISBN 13: 9781107435315
Language: EN, FR, DE, ES & NL

Stochastic Processes Book Review:

This definitive textbook provides a solid introduction to discrete and continuous stochastic processes, tackling a complex field in a way that instils a deep understanding of the relevant mathematical principles, and develops an intuitive grasp of the way these principles can be applied to modelling real-world systems. It includes a careful review of elementary probability and detailed coverage of Poisson, Gaussian and Markov processes with richly varied queuing applications. The theory and applications of inference, hypothesis testing, estimation, random walks, large deviations, martingales and investments are developed. Written by one of the world's leading information theorists, evolving over twenty years of graduate classroom teaching and enriched by over 300 exercises, this is an exceptional resource for anyone looking to develop their understanding of stochastic processes.

Brownian Motion

Brownian Motion
Author: René L. Schilling,Lothar Partzsch
Publsiher: Walter de Gruyter GmbH & Co KG
Total Pages: 424
Release: 2014-06-18
ISBN 10: 3110307308
ISBN 13: 9783110307306
Language: EN, FR, DE, ES & NL

Brownian Motion Book Review:

Brownian motion is one of the most important stochastic processes in continuous time and with continuous state space. Within the realm of stochastic processes, Brownian motion is at the intersection of Gaussian processes, martingales, Markov processes, diffusions and random fractals, and it has influenced the study of these topics. Its central position within mathematics is matched by numerous applications in science, engineering and mathematical finance. Often textbooks on probability theory cover, if at all, Brownian motion only briefly. On the other hand, there is a considerable gap to more specialized texts on Brownian motion which is not so easy to overcome for the novice. The authors’ aim was to write a book which can be used as an introduction to Brownian motion and stochastic calculus, and as a first course in continuous-time and continuous-state Markov processes. They also wanted to have a text which would be both a readily accessible mathematical back-up for contemporary applications (such as mathematical finance) and a foundation to get easy access to advanced monographs. This textbook, tailored to the needs of graduate and advanced undergraduate students, covers Brownian motion, starting from its elementary properties, certain distributional aspects, path properties, and leading to stochastic calculus based on Brownian motion. It also includes numerical recipes for the simulation of Brownian motion.

Stochastic Models for Fractional Calculus

Stochastic Models for Fractional Calculus
Author: Mark M. Meerschaert,Alla Sikorskii
Publsiher: Walter de Gruyter
Total Pages: 301
Release: 2012-01-01
ISBN 10: 3110258161
ISBN 13: 9783110258165
Language: EN, FR, DE, ES & NL

Stochastic Models for Fractional Calculus Book Review:

This monograph develops the basic theory of fractional calculus and anomalous diffusion, from the point of view of probability. The reader will see how fractional calculus and anomalous diffusion can be understood at a deep and intuitive level, using ideas from probability. The book covers basic limit theorems for random variables and random vectors with heavy tails. Heavy tails are applied in finance, insurance, physics, geophysics, cell biology, ecology, medicine, and computer engineering.

Introduction to Probability and Stochastic Processes with Applications

Introduction to Probability and Stochastic Processes with Applications
Author: Liliana Blanco Castañeda,Viswanathan Arunachalam,Selvamuthu Dharmaraja
Publsiher: John Wiley & Sons
Total Pages: 614
Release: 2014-08-21
ISBN 10: 1118344960
ISBN 13: 9781118344965
Language: EN, FR, DE, ES & NL

Introduction to Probability and Stochastic Processes with Applications Book Review:

An easily accessible, real-world approach to probability andstochastic processes Introduction to Probability and Stochastic Processes withApplications presents a clear, easy-to-understand treatment ofprobability and stochastic processes, providing readers with asolid foundation they can build upon throughout their careers. Withan emphasis on applications in engineering, applied sciences,business and finance, statistics, mathematics, and operationsresearch, the book features numerous real-world examples thatillustrate how random phenomena occur in nature and how to useprobabilistic techniques to accurately model these phenomena. The authors discuss a broad range of topics, from the basicconcepts of probability to advanced topics for further study,including Itô integrals, martingales, and sigma algebras.Additional topical coverage includes: Distributions of discrete and continuous random variablesfrequently used in applications Random vectors, conditional probability, expectation, andmultivariate normal distributions The laws of large numbers, limit theorems, and convergence ofsequences of random variables Stochastic processes and related applications, particularly inqueueing systems Financial mathematics, including pricing methods such asrisk-neutral valuation and the Black-Scholes formula Extensive appendices containing a review of the requisitemathematics and tables of standard distributions for use inapplications are provided, and plentiful exercises, problems, andsolutions are found throughout. Also, a related website featuresadditional exercises with solutions and supplementary material forclassroom use. Introduction to Probability and StochasticProcesses with Applications is an ideal book for probabilitycourses at the upper-undergraduate level. The book is also avaluable reference for researchers and practitioners in the fieldsof engineering, operations research, and computer science whoconduct data analysis to make decisions in their everyday work.

Stochastic Modelling of Reaction Diffusion Processes

Stochastic Modelling of Reaction Diffusion Processes
Author: Radek Erban,S. Jonathan Chapman
Publsiher: Cambridge University Press
Total Pages: 318
Release: 2019-12-31
ISBN 10: 1108498124
ISBN 13: 9781108498128
Language: EN, FR, DE, ES & NL

Stochastic Modelling of Reaction Diffusion Processes Book Review:

Practical introduction for advanced undergraduate or beginning graduate students of applied mathematics, developed at the University of Oxford.