The Fokker-Planck Equation: Methods of Solutions and Applications (Springer Series in Synergetics)

Book Description

This book deals with the derivation of the Fokker-Planck equation, methods of solving it and some of its applications. Various methods such as the simulation method, the eigenfunction expansion, numerical integration, the variational method, and the matrix continued-fraction method are discussed. This is the first time that this last method, which is very effective in dealing with simple Fokker-Planck equations having two variables, appears in a textbook. The methods of solution are applied to the statistics of a simple laser model and to Brownian motion in potentials. It is shown that the solution of the equation for Brownian motion in a variety of potentials can be expressed in terms suitable for evaluation on a computer. A supplement is included, containing a short review of new material together with some recent references. The book should be very useful to graduate students in physics, chemical physics, and electrical engineering, and also to research workers in these fields.

Customer Reviews:

Rigorous book .......2006-12-28

This book is a classical reference in the subject of stochastic dynamics. It is a graduate level book written in clear and concise language. It covers all the basics about Langevin and Fokker-Planck equations (Chapters 3 and 4). In these chapters, Moyal expansion, Ito and Stratonovich interpretation of stochastic processes is presented carefully. Then they move on to study various methods of solving FP equation in the next 7 chapters. In the final chapter, FP equation and its application to Laser is discussed.

I recommend reading this book along with Gardiner's book (Handbook of Stochastic Methods) to anyone who wants to learn about stochastic dynamics seriously.

A good book on a difficult subject........2004-03-15

I got the impression that there are very few good textbooks on the subject of random processes in continuous time and the Fokker-Planck equation, which are accessible for physicists. In this book the subject presented in a manner that I thought to be a good compromise between mathematical rigor and physical intuition. For example to the spirit of the book, white noise is introduced both from the point of view of a physicist (it has a very short correlation time etc) and from the point of view of a mathematician (as the "derivative" of a Wiener process). While I found the book not very friendly or easy to read, it was one of my main sources for self-learning this subject during my Ph. D. work. I found the book three years ago, own it for two years and keep learning from it until today. I recommend the book very much.

Electrodynamics of Continuous Media, Second Edition: Volume 8 (Course of Theoretical Physics)

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an invaluable reference!
Russian School of Physics
The BEST
A masterpiece.
ONE OF THE BEST BOOKS ON MACROSCOPIC ELECTRODYNAMICS!

Electrodynamics of Continuous Media, Second Edition: Volume 8 (Course of Theoretical Physics)
E M Lifshitz , L D Landau , and L P Pitaevskii
Manufacturer: Butterworth-Heinemann
ProductGroup: Book
Binding: Paperback

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ASIN: 0750626348

Book Description

Covers the theory of electromagnetic fields in matter, and the theory of macroscopic electric and magnetic properties of matter. There is a considerable amount of new material particularly on the theory of the magnetic properties of matter and the theory
of optical phenomena with new chapters on spatial dispersion and non-linear optics.

Customer Reviews:

an invaluable reference!.......2006-07-18

What can I say? There are 9 copies of this book in the library of my university and 8 of them have been checked out. The only one left is a reserved copy. And right now it's in the middle of a summer vacation! So many things that I want to know can be found in this book: the difference between Kerr effect and Faraday effect, the magneto-electric tensor, magnetic symmetries of crystals... etc. The explanations are usually very compact but extremely clear. Once many years ago I was frustrated at being unable to find a "physicist's description" of the galvanic cell. Finally, after searching many books and papers, I found a most satisfying explanation, exactly the way I needed it, in this book. It is an invaluable "reference" (but not textbook) for researchers working on material science, light-matter interactions, and related fields.

Russian School of Physics.......2006-03-27

This book has few uses. The book is so abbreviated that you need two other books to understand it. The one useful feature of this book is the problems with solutions, but even those take a lot of deciphering.

The BEST.......2000-05-16

It the best. I mean the whole course. If you can read Russian buy the original book - they are very very cheap (hardbound): a couple of dollars.

A masterpiece........1998-10-02

In the beginning there was ether. Then Maxwell discovered his wonderful equations and Einstein, drawing inspiration therefrom, discovered Relativity. There was no longer an ether. Thank God! For, before, every electric, magnetic and optical phenomenon was supposed to be explained by properties of this ubiquitous ether. For a brilliant account of the physics of the ether, read "Aether", by Maxwell himself, at the Encyclopaedia Britannica (not the present edition: go to* and look at the Classics). Since Lorentz it became fashionable, and sensible, to, first, derive all properties of the electromagnetic fiel in vacuum, and, then, to introduce matter and the complications which appear (and which give rise to most of the beauty of the world). This wonderful book deals with these complications, and shows the beauties that come out of them. This is a high class text, the reader being supposed to know all of basic physics, including, of course, quantum mechanics. Thermodynamics is used lavishly for static or quasi-static situations, providing depth and cohesion. Did you know that you cannot, in this age of new materials, concoct one with electric permittivity (the familiar epsilon) smaller than one lest you violate the second law of thermodynamics? The chapter on electromagnetic waves is superb, with the best treatment of light dispersion to be found anywhere. Did you know that you cannot produce a transparent material which would disperse light in a different sequence of colours than that of the usual glass prism lest you violate causality? You have to read this book. Grab your copy while you can find it. One never knows.

ONE OF THE BEST BOOKS ON MACROSCOPIC ELECTRODYNAMICS!.......1998-07-24

This is the Volume 8 of the famous Course of Theoretical Physics by L. D. Landau and E. M. Lifshitz. All serious students of theoretical physics must possess the ten volumes of this excellent Course, which cover in detail and rigour practically all the branches of theoretical physics. The Volume 8 treats the subject of the electromagnetic fields in matter, or the macroscopic electrodynamics. The book contains all the basic theory of macroscopic electrodynamics, discussing at the same time some more specialized and very interesting topics. The discussion is rigorous and very detailed, with clarity of exposition. There exists also in this book chapters not usually found in other similar books, such as the chapters on the dynamics of magnetic fluids, the theory of the interaction of fast particles with matter(for example, the Cerenkov radiation), the macroscopic theory of superconductivity and the theory of diffraction of X rays in crystals. There exists a little appendice! on curvilinear coordinates, which serves to auxiliate the reader in the mathematical calculations. Moreover, the authors discuss in a very elegant manner mathematical methods for solving problems in electrostatics, such as for example the method of conformal mapping. Certainly one of the best books on macroscopic electrodynamics!

Numerical Heat Transfer And Fluid Flow (Hemisphere Series on Computational Methods in Mechanics and Thermal Science)

Average customer rating:

Excellent Introductory CFD Text
best fundamental CFD book, must have
If you want to code heat/mass transfer/fluid flow, buy this
A fundamental book on CFD
excellent

Numerical Heat Transfer And Fluid Flow (Hemisphere Series on Computational Methods in Mechanics and Thermal Science)
Suhas Patankar
Manufacturer: Taylor & Francis
ProductGroup: Book
Binding: Hardcover

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ASIN: 0891165223

Customer Reviews:

Excellent Introductory CFD Text.......2007-02-12

This book is a wonderful way to understand the fundamental concepts behind techniques such as the SIMPLE algorithm. Patankar begins in one dimension, expands his approach, and presents the results very clearly. His physical insights are very well presented, and his narrative style is easy to read. One may much more profitably read the recent literature in this area after having examined Patankar's text.

best fundamental CFD book, must have.......2006-03-05

This is the best CFD book I ever read !! And it should be your first CFD book too. It's easy, short, concise and correct.

It doesn't have extensive coverage or any advanced topic like most of recent CFD book get. But the way it shines is that the author (one of the founders of recent CFD field) spent that much time discussing how to discritizing and evaluating the simplest form of commonly used pde eqations and boundary conditions. No advanced math involved, it's all simple algebra.

Everytime when I start a new problem and write down the discritized eqation, I double checked it using what I learned from the book before I input it into the computer. It just worked.

There's no magic in CFD, but this book is like a magic to me.

If you want to code heat/mass transfer/fluid flow, buy this.......2002-12-17

This is extraordinarily well-written for anyone who knows a little bit about heat transfer, mass transfer, or fluid flow and wants to write a mathematical model to perform calculations in 1D, 2D or 3D. (Also works for electromagnetic equations of the same form--used it for my doctoral thesis.) It's very practically oriented, with clear explanations and good diagrams showing how the grid layout translates into code.

A fundamental book on CFD.......2000-04-26

This is one of the ground breaking texts. I purchased a copy on the recommendation of a collegue (who has worked in the field for a while) when I started in Computational Fluid Dynamics (CFD).

I found the book a little bit difficult to get into. Having spent more time working through CFD problems, it all now makes sense - although I would recommend beginners to find something else more recent (such as An introduction to Computational Fluid Dynamics: The finite volume method by Versteeg & Malalasekera) that has some of the more recent developments in the field.

It is still an invaluable reference to have on your bookshelf as it covers the fundamentals of CFD.

excellent.......2000-03-11

A very good book to start learnig about CFD and an excellent book to everyone that works with CFD.

Statistical Mechanics: A Concise Introduction for Chemists

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Excellent Introduction

Statistical Mechanics: A Concise Introduction for Chemists
B. Widom
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0521009669

Book Description

This is an introduction to statistical mechanics, intended to be used either in an undergraduate physical chemistry course or by beginning graduate students with little undergraduate background in the subject. It assumes familiarity with thermodynamics, chemical kinetics, the kinetic theory of gases, quantum mechanics and spectroscopy, at the level at which these subjects are normally treated in undergraduate physical chemistry. Highly illustrated with numerous exercises and worked solutions, it provides a concise, up-to-date treatise of statistical mechanics and is ideally suited to use in one semester courses.

Download Description

Statistical mechanics is the theoretical apparatus used to study the properties of macroscopic systems - systems made up of many atoms or molecules - and relates those properties to the system's microscopic constitution. This book is an introduction to statistical mechanics, intended to be used either by advanced undergraduates or by beginning graduate students. The first chapter deals with statistical thermodynamics and aims to quickly derive the most commonly used formulas in the subject. The remainder of the book then illustrates the application of these formulas in traditional areas such as the ideal gas and less traditional areas such as the quantum ideal gas. Highly illustrated with numerous exercises and worked solutions, it provides a concise, up-to-date treatise of statistical mechanics ideal for use on an 8-12 lecture course.

Customer Reviews:

Excellent Introduction.......2006-09-01

While looking for a suitable textbook for a one-semester course on Statistical Mechanics, I found this little gem by Prof. Widom, a recognized authority in the field. It was a pleasure to read, clear, all the classical topics well explained, very understandable.
Several excellent textbook on the subject are available, but none conveys so much in so little space (THE SPACE you have available in an undergraduate lecture course), yet with no compromise on rigour or clarity. At the beginning, I was a little uneasy by the choice of skipping a discussion of the (difficult) foundations, jumping directly to the Boltzmann distribution as a starting point. Now I totally agree with it, it is the best for a first introduction, and if time is left (rarely) one can profitably add a discussion on fundations at the end of the course.

The Finite Element Method in Heat Transfer and Fluid Dynamics, Second Edition

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The Finite Element Method in Heat Transfer and Fluid Dynamics, Second Edition
J.N. Reddy , and D.K. Gartling
Manufacturer: CRC
ProductGroup: Book
Binding: Hardcover

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ASIN: 084932355X

Book Description

The numerical simulation of fluid mechanics and heat transfer problems is now a standard part of engineering practice. The widespread availability of capable computing hardware has led to an increased demand for computer simulations of products and processes during their engineering design and manufacturing phases. The range of fluid mechanics and heat transfer applications of finite element analysis has become quite remarkable, with complex, realistic simulations being carried out on a routine basis. The award-winning first edition of The Finite Element Method in Heat Transfer and Fluid Dynamics brought this powerful methodology to those interested in applying it to the significant class of problems dealing with heat conduction, incompressible viscous flows, and convection heat transfer. The Second Edition of this bestselling text continues to provide the academic community and industry with up-to-date, authoritative information on the use of the finite element method in the study of fluid mechanics and heat transfer. Extensively revised and thoroughly updated, new and expanded material includes discussions on difficult boundary conditions, contact and bulk nodes, change of phase, weighted-integral statements and weak forms, chemically reactive systems, stabilized methods, free surface problems, and much more. The Finite Element Method in Heat Transfer and Fluid Dynamics offers students a pragmatic treatment that views numerical computation as a means to an end and does not dwell on theory or proof. Mastering its contents brings a firm understanding of the basic methodology, competence in using existing simulation software, and the ability to develop some simpler, special purpose computer codes.

Chemical Thermodynamics: Basic Theory and Methods, 6th Edition

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Review of Thermo by Klotz
Well explained - a pleasure to read

Chemical Thermodynamics: Basic Theory and Methods, 6th Edition
Irving M. Klotz , and Robert M. Rosenberg
Manufacturer: Wiley-Interscience
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471331074

Book Description

A new, millennium edition of the classic treatment of chemical thermodynamics Widely recognized for half a century for its first-rate, logical introduction to phenomenological thermodynamics, this classic work is now thoroughly revised for the new millennium. The Sixth Edition continues to cover the fundamentals and methods of thermodynamics with exceptional vigor and clarity, while incorporating many new developments. Up-to-date examples are carefully gleaned from the literature for their practical interest to chemists, biochemists, geologists, chemical engineers, and materials scientists. Chemical Thermodynamics: Basic Theory and Methods, Sixth Edition provides readers with clear explanations of essential chemistry, mathematics, and the latest computational tools. Additional new features include:
* Liberal reference to Web-based resources and databases
* Extensive tables of thermodynamic data organized by source
* High-quality exercises with a separate student manual available for solutions to alternate problems
* Simple methods for the calculation of partial molar functions from experimental data
* Expanded and revised chapters containing discussion of excess thermodynamic functions, a treatment of the Second Law and Equilibrium on the basis of the Planck function as well as the Gibbs function, and treatment of real gases in terms of the Redlich-Kwong equation

Customer Reviews:

Review of Thermo by Klotz.......2005-09-26

An insightful book. Easy to read when compared to other books of similar subject. Flows through topics smoothly.

Well explained - a pleasure to read.......2003-10-22

I started to read this book in order to figure out how to calculate the heat released by various chemical reactions. I ended up spending a week reading the first 10 chapters (roughly half the book) and working through the majority of the exercises simply because the book was such a pleasure to read. I feel that the material is presented in a logical fashion, the physical meaning of various mathematical functions is well explained, the exercises are set at the correct pitch and lead to a deeper understanding of the theory, and sufficient references are given so that the reader knows where to go to obtain further material (thermochemical data in my case).

About a decade ago i completed a postgraduate maths/physics degree so I suppose that may give me an "edge" over some readers. However, the book begins with an introduction to calculus involving many variables which is really the only maths used in the entire book.

The book is certainly simple - you won't find much mention of statistical mechanics, for example - but I believe it provides an excellent introduction to the subject of chemical thermodynamics.

Book Description

The present text offers a graduate level treatment of time dependent phenomena in condensed matter physics. Conventional ideas of linear response theory and kinetic theory are treated in detail. The general emphasis, however, in on the development of generalized Langevin equations for treating nonlinear behaviour in a wide variety of systems. A full treatment is given for the underpinnings of hydrodynamics for fluids.

This is the third volume of a four volume set of texts by the same author, two of which have already been published ("Fluctuations, Order, and Defects" 0-471-32840-5, "Equilibrium Statistical Mechanics" 0-471-32839-1). While the preceding volume contains material that is a prerequisite for fully understanding the material presented here, this volume is self-contained and can stand alone from the preceding volume.

Stochastic Processes in Physics and Chemistry (North-Holland Personal Library)

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Utility and Clarity
A Classic
A Classic

Stochastic Processes in Physics and Chemistry (North-Holland Personal Library)
N.G. Van Kampen
Manufacturer: North Holland
ProductGroup: Book
Binding: Paperback

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Handbook of Stochastic Methods: for Physics, Chemistry and the Natural Sciences (Springer Series in Synergetics)

ASIN: 0444893490

Book Description

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.

Customer Reviews:

Utility and Clarity.......2003-08-30

Van Kampen is that rare book that has enormous utility while being very clear and readable. It is perfectly suitable for sitting down and reading; the ideas flow together in a seamless way. Yet if you need to use it as a reference, you can flip to the appropriate page and the ideas will still be clear! It's amazing to me how Van Kampen manages to have the topics of the book stand alone, yet be woven together in such a logical, and even pedagogical, way.

This book is recommended for anyone working in statistical physics and is a must for anyone studying nonequilibrium phenomena in chemisty or physics. Even moreso than Kubo's excellent book on nonequilbrium statistical mechanics, this is the most clear and complete volume.

A Classic.......2000-04-03

Van Kampen's book is a must-have for anyone interested in stochastic processes. The presentation is masterful and there are numerous thought-provoking examples and exercises. The author's remarks on "abuse" of methods (such as the Langevin technique) are well worth understanding, even if one does not agree with him in all cases. The price is a bit steep which is unfortunate since this book is really ideal for advanced undergraduates and graduate students.

A Classic.......2000-04-03

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Statistical Mechanics for Chemists
Jerry Goodisman
Manufacturer: Wiley-Interscience
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471168122

Book Description

With an emphasis on finding solutions to common problems in chemistry, topics covered include: The Maxwell-Boltzmann velocity distribution for molecules in a gas, partition functions, and calculation of thermodynamic properties; ensembles (including the grand canonical ensemble), independent particles, and thermodynamic properties of atoms and molecules; and practical introductions to quantum statistical mechanics and classical statistical mechanics. Also covered are applications to electrons in metals and semiconductors; bosons and fermions; imperfect gases; transport properties; dipole moments in electric and magnetic fields; distribution functions and correlation functions in fluids; and time-dependent techniques for handling both simple and modern dynamical problems--the Liouville equation, time-correlation functions, and the Langevin equation.

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Handbook of Numerical Heat Transfer

Manufacturer: Wiley
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471348783

Book Description

A completely updated edition of the acclaimed single-volume reference for heat transfer and the thermal sciences

This Second Edition of Handbook of Numerical Heat Transfer covers the basic equations for numerical method calculations regarding heat transfer problems and applies these to problems encountered in aerospace, nuclear power, chemical processes, electronic packaging, and other related areas of mechanical engineering. As with the first edition, this complete revision presents comprehensive but accessible coverage of the necessary formulations, numerical schemes, and innovative solution techniques for solving problems of heat and mass transfer and related fluid flows.

Featuring contributions from some of the most prominent authorities in the field, articles are grouped by major sets of methods and functions, with the text describing new and improved, as well as standard, procedures. Handbook of Numerical Heat Transfer, Second Edition includes:
* Updated coverage of parabolic systems, hyperbolic systems, integral-and integro-differential systems, Monte Carlo and perturbation methods, and inverse problems
* Usable computer programs that allow quick applications to aerospace, chemical, nuclear, and electronic packaging industries
* User-friendly nomenclature listings include all the symbols used in each chapter so that chapter-specific symbols are readily available

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