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Author : Daniel F. Styer
Publisher :
ISBN 13 :
Total Pages : 626 pages
Book Rating : 4.E/5 ( download)
Download or read book Partial Differential Approximants and Applications to Statistical Mechanics written by Daniel F. Styer and published by . This book was released on 1984 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Uzi Landman
Publisher : Springer Science & Business Media
ISBN 13 : 1461341663
Total Pages : 808 pages
Book Rating : 4.4/5 (613 download)
Download or read book Statistical Mechanics and Statistical Methods in Theory and Applications written by Uzi Landman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Allen Baker
Publisher : Cambridge University Press
ISBN 13 : 0521450071
Total Pages : 762 pages
Book Rating : 4.5/5 (214 download)
Download or read book Pade Approximants written by George Allen Baker and published by Cambridge University Press. This book was released on 1996-01-26 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was reviewed in 1982 as "the most extensive treatment of Pade approximants actually available." This second edition has been thoroughly updated, with a substantial new chapter on multiseries approximants. Applications to statistical mechanics and critical phenomena are extensively covered, and there are newly extended sections devoted to circuit design, matrix Pade approximation, and computational methods. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike.
Author : George Allen Baker
Publisher :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (319 download)
Download or read book Padé Approximants: Extensions and applications written by George Allen Baker and published by . This book was released on 1981 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Lavis
Publisher : Springer Science & Business Media
ISBN 13 : 3540644369
Total Pages : 452 pages
Book Rating : 4.5/5 (46 download)
Download or read book Statistical Mechanics of Lattice Systems written by David Lavis and published by Springer Science & Business Media. This book was released on 1999-03-08 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the interesting and difficult problems in statistical mechanics arise when the constituent particles of the system interact with each other with pair or multipartiele energies. The types of behaviour which occur in systems because of these interactions are referred to as cooperative phenomena giving rise in many cases to phase transitions. This book and its companion volume (Lavis and Bell 1999, referred to in the text simply as Volume 1) are princi pally concerned with phase transitions in lattice systems. Due mainly to the insights gained from scaling theory and renormalization group methods, this subject has developed very rapidly over the last thirty years. ' In our choice of topics we have tried to present a good range of fundamental theory and of applications, some of which reflect our own interests. A broad division of material can be made between exact results and ap proximation methods. We have found it appropriate to inelude some of our discussion of exact results in this volume and some in Volume 1. Apart from this much of the discussion in Volume 1 is concerned with mean-field theory. Although this is known not to give reliable results elose to a critical region, it often provides a good qualitative picture for phase diagrams as a whole. For complicated systems some kind of mean-field method is often the only tractable method available. In this volume our main concern is with scaling theory, algebraic methods and the renormalization group.
Author : Roger Pynn
Publisher : Springer Science & Business Media
ISBN 13 : 1461327415
Total Pages : 465 pages
Book Rating : 4.4/5 (613 download)
Download or read book Multicritical Phenomena written by Roger Pynn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the Proceedings of a NATO Advanced Study Institute on Mu1ticritica1 Phenomena held in Geilo, Norway, between 10-21 April 1983. This school was the seventh to be held in Gei10, on various aspects of phase transitions. In spite of its apparently restrictive title the school was planned as a forum for the discus sion of phase transitions and instabilities in systems, with competing interactions and competing order parameters. Thus, in addition to the canonical multicritical points, subjects were diverse as critical phenomena in random magnetic systems and routes to chaos were discussed. The subject matter of the school is naturally divided into a series of categories which to some extent, reflect the historical development of interest in competing phenomena at phase transitions. Multicritical points in equilibrium systems, defined phenomenolo gically as points of sudden change of behaviour on an otherwise smooth phase boundary, were the first topics of the school. The theo retical consensus which has emerged during the past decade, largely as a result of calculations with the renormalisation group, was reviewed in some detail. The results presented, however, apply only to pure systems (in which dirt and other manifestations of reality are irrelevant) in that small realm close to the phase transition knoYln as "asymtopia.
Author : Amnon Aharony
Publisher : World Scientific
ISBN 13 : 9811282390
Total Pages : 912 pages
Book Rating : 4.8/5 (112 download)
Download or read book 50 Years Of The Renormalization Group: Dedicated To The Memory Of Michael E Fisher written by Amnon Aharony and published by World Scientific. This book was released on 2024-07-26 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in the book are devoted to the memory of Michael E Fisher, and hence include many personal memories from people whose work was influenced by him. Also, the book is a collection of articles from leaders in the field of phase transitions and critical phenomena, to celebrate 50 years of the renormalization group and the 1972 paper by Wilson and Fisher. Many of the articles review, in tutorial form, the progress in the fields of phase transitions and the renormalization group.
Author : J. Levy
Publisher : Springer Science & Business Media
ISBN 13 : 1461333474
Total Pages : 465 pages
Book Rating : 4.4/5 (613 download)
Download or read book Phase Transitions Cargèse 1980 written by J. Levy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: The understanding of phase transitions has long been a fundamental problem of statistical mechanics. It has made spectac ular progress during the last few years, largely because of the ideas of K.G. Wilson, in applying to an apparently quite different domain the methods of the renormalization group, which had been developped in the framework of the quantum theory of fields. The ability of these theoretical methods to lead to very precise predictions has, ~n turn, stimulated in the last few years more refined experiments in different areas. We now have entered a period where the theoretical results yielded by the renormalization group approach are suffi ciently precise and can be compared with those of the traditional method of high temperature series expansion on lattices, and with the experimental data. Although very similar, the results coming from the renormalization group and high temperature analysis seemed to indicate systematic discrepancies between the continuous field theory and lattice models. It was therefore important to appreciate the reliability of the predictions coming from both theoretical schemes, and to compare them to the latest experimental results. We think that this Cargese Summer Institute has been very successful 1 in this respect. Indeed, leading experts in the field, both experimentalists and theoreticians, have gathered and presented detailed analysis of the present situation. In particular, B.G. Nickel has produced longer high temperature series which seem to indicate that the discrepancies between series and renormalization group results have been previously overestimated.
Author : Royal Society (Great Britain)
Publisher :
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.:/5 (43 download)
Download or read book Proceedings of the Royal Society of London written by Royal Society (Great Britain) and published by . This book was released on 1988 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 646 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1986 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Sethna
Publisher : OUP Oxford
ISBN 13 : 0191566217
Total Pages : 374 pages
Book Rating : 4.1/5 (915 download)
Download or read book Statistical Mechanics written by James Sethna and published by OUP Oxford. This book was released on 2006-04-07 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.
Author :
Publisher : Academic Press
ISBN 13 : 0080955800
Total Pages : 398 pages
Book Rating : 4.0/5 (89 download)
Download or read book The Padé Approximant in Theoretical Physics written by and published by Academic Press. This book was released on 1971-02-27 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author : E.B. Safe
Publisher : Elsevier
ISBN 13 : 0323147771
Total Pages : 506 pages
Book Rating : 4.3/5 (231 download)
Download or read book Pade and Rational Approximation written by E.B. Safe and published by Elsevier. This book was released on 2013-05-09 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Padé and Rational Approximation: Theory and Applications presents the proceedings of the Conference on Rational Approximation with Emphasis on Applications of Padé Approximants, held in Tampa, Florida on December 15-17, 1976. The contributors focus on the interplay of theory, computation, and physical applications. This book is composed of six parts encompassing 44 chapters. The introductory part discusses the general theory of orthogonal polynomials that is the mathematical basis of Padé approximants and related matters evaluation. This text also examines the connection between approximants on a stepline in the ordinary Padé table and certain continued fractions and the convergence of diagonal Padé approximants to a class of functions with an even number of branch points. The following parts deal with the special functions and continued fractions of Padé approximation and the theory of rational approximations. These parts also investigate the geometric convergence of Chebyshev rational approximation on the half line, the optimal approximation by "Almost Classical interpolation, and the incomplete polynomials approximation. The discussion then shifts to the physical applications and computations of the Padé approximants. The concluding part presents the applications of rational approximation to gun fire control and to the White Sands Missile Range Computer Facility. This part also provides a list of some open problems and conjectures concerning polynomials and rational functions. This book is of great benefit to mathematicians, physicists, and laboratory workers.
Author :
Publisher :
ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.3/5 (91 download)
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1983 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Allen Baker
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.3/5 (97 download)
Download or read book Padé Approximants: Basic theory written by George Allen Baker and published by . This book was released on 1981 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : BULTHEEL
Publisher : Springer Science & Business Media
ISBN 13 : 1489967907
Total Pages : 236 pages
Book Rating : 4.4/5 (899 download)
Download or read book Rational Approximation in Systems Engineering written by BULTHEEL and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Avram Sidi
Publisher : Cambridge University Press
ISBN 13 : 9780521661591
Total Pages : 546 pages
Book Rating : 4.6/5 (615 download)
Download or read book Practical Extrapolation Methods written by Avram Sidi and published by Cambridge University Press. This book was released on 2003-06-05 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
