Statistical Mechanics New Concepts New Problems New Applications

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Foundations of Statistical Mechanics

Author : W.T. Grandy Jr.
Publisher : Springer Science & Business Media
ISBN 13 : 9400938675
Total Pages : 391 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Foundations of Statistical Mechanics by : W.T. Grandy Jr.

Download or read book Foundations of Statistical Mechanics written by W.T. Grandy Jr. and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a certain sense this book has been twenty-five years in the writing, since I first struggled with the foundations of the subject as a graduate student. It has taken that long to develop a deep appreciation of what Gibbs was attempting to convey to us near the end of his life and to understand fully the same ideas as resurrected by E.T. Jaynes much later. Many classes of students were destined to help me sharpen these thoughts before I finally felt confident that, for me at least, the foundations of the subject had been clarified sufficiently. More than anything, this work strives to address the following questions: What is statistical mechanics? Why is this approach so extraordinarily effective in describing bulk matter in terms of its constituents? The response given here is in the form of a very definite point of view-the principle of maximum entropy (PME). There have been earlier attempts to approach the subject in this way, to be sure, reflected in the books by Tribus [Thermostat ics and Thermodynamics, Van Nostrand, 1961], Baierlein [Atoms and Information Theory, Freeman, 1971], and Hobson [Concepts in Statistical Mechanics, Gordon and Breach, 1971].

Nonequilibrium Statistical Mechanics

Author : Biman Bagchi
Publisher : CRC Press
ISBN 13 : 1000996913
Total Pages : 469 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Nonequilibrium Statistical Mechanics by : Biman Bagchi

Download or read book Nonequilibrium Statistical Mechanics written by Biman Bagchi and published by CRC Press. This book was released on 2023-11-21 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonequilibrium statistical mechanics (NESM), practically synonymous with time-dependent statistical mechanics (TDSM), is a beautiful and profound subject, vast in scope, diverse in applications, and indispensable in understanding the changing natural phenomena we encounter in the physical, chemical and biological world. Although time dependent phenomena have been studied from antiquity, the modern subject, the nonequilibrium statistical mechanics, has its genesis in Boltzmann’s 1872 classic paper that aimed at extending Maxwell’s kinetic theory of gases by including intermolecular interactions. Subsequent development of the subject drew upon the seminal work of Einstein and Langevin on Brownian motion, Rayleigh and Stokes on hydrodynamics, and on the works of Onsager, Prigogine, Kramers, Kubo, Mori, and Zwanzig. One major goal of this book is to develop and present NESM in an organized fashion so that students can appreciate and understand the flow of the subject from postulates to practical uses. This book takes the students on a journey from fundamentals to applications, mostly using simple mathematics, and fundamental concepts. With the advent of computers and computational packages and techniques, a deep intuitive understanding can allow the students to tackle fairly complex problems, like proteins in lipid membranes or solvation of ions in electrolytes used in batteries. The subject is still evolving rapidly, with forays into complex biological events, and materials science. Nonequilibrium Statistical Mechanics: An Introduction with Applications is, thus, an introductory text that aims to provide students with a background and skill essential to study and understand time-dependent (relaxation) phenomena. It will allow students to calculate transport properties like diffusion and conductivity. The book also teaches the methods to calculate reaction rate on a multi-dimensional energy surface, in another such application. For a beginner in the field, especially for one with an aim to study chemistry and biology, and also physics, one major difficulty faced is a lack of organization of the available study material. Since NESM is a vast subject with many different theoretical tools, the above poses a problem. This book lays the foundations towards understanding time- dependent phenomena in a simple and systematic fashion. It is accessible to students and researchers who have basic training in physics and mathematics. The book can be used to teach advanced undergraduates. Some involved topics, like the projection operator technique and mode coupling theory, are more suitable for Ph.D. level.

Mathematical Essays on Growth and the Emergence of Form

Author : Peter L. Antonelli
Publisher : University of Alberta
ISBN 13 : 9780888640895
Total Pages : 362 pages
Book Rating : 4.6/5 (48 download)

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Book Synopsis Mathematical Essays on Growth and the Emergence of Form by : Peter L. Antonelli

Download or read book Mathematical Essays on Growth and the Emergence of Form written by Peter L. Antonelli and published by University of Alberta. This book was released on 1985 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of interest to theoretical biologists, as well as mathematicians, physical scientists or anyone concerned with problems in growth, chemical ecology and the developmental biology of form, these essays on biological modelling by American, British and Canadian researchers provide an interesting geometric excursion to the frontiers of contemporary mathematical biology.

New Trends in Statistical Physics

Author : Alfredo Mac¡as
Publisher : World Scientific
ISBN 13 : 981430753X
Total Pages : 373 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis New Trends in Statistical Physics by : Alfredo Mac¡as

Download or read book New Trends in Statistical Physics written by Alfredo Mac¡as and published by World Scientific. This book was released on 2010 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prof Leopoldo Garcia-Colin will become 80 years old in 2010, therefore we are interested in the publication of a Festschrift (book) to honor him. Prof Garcia-Colin has worked in many different fields of statistical physics, and has applied it to biological physics, solid state physics, relativity and cosmology. We are planning a 500 pages book with original and peer-reviewed articles from his friends and former students. We may buy about 100 copies of it.

Handbook of Dynamical Systems

Author : B. Fiedler
Publisher : Gulf Professional Publishing
ISBN 13 : 0080532845
Total Pages : 1099 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Dynamical Systems by : B. Fiedler

Download or read book Handbook of Dynamical Systems written by B. Fiedler and published by Gulf Professional Publishing. This book was released on 2002-02-21 with total page 1099 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others.While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.

Statistical Mechanics

Author : Richard E. Wilde
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Statistical Mechanics by : Richard E. Wilde

Download or read book Statistical Mechanics written by Richard E. Wilde and published by Wiley-Interscience. This book was released on 1998 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A valuable learning tool for students and an indispensable resource for professional scientists and engineers Several outstanding features make this book a superior introduction to modern statistical mechanics: It is the only intermediate-level text offering comprehensive coverage of both basic statistical mechanics and modern topics such as molecular dynamic methods, renormalization theory, chaos, polymer chain folding, oscillating chemical reactions, and cellular automata. It is also the only text written at this level to address both equilibrium and nonequilibrium statistical mechanics. Finally, students and professionals alike will appreciate such aids to comprehension as detailed derivations for most equations, more than 100 chapter-end exercises, and 15 computer programs written in FORTRAN that illustrate many of the concepts covered in the text. Statistical Mechanics begins with a refresher course in the essentials of modern statistical mechanics which, on its own, can serve as a handy pocket guide to basic definitions and formulas. Part II is devoted to equilibrium statistical mechanics. Readers will find in-depth coverage of phase transitions, critical phenomena, liquids, molecular dynamics, Monte Carlo techniques, polymers, and more. Part III focuses on nonequilibrium statistical mechanics and progresses in a logical manner from near-equilibrium systems, for which linear responses can be used, to far-from-equilibrium systems requiring nonlinear differential equations.

Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 1

Author : Roderick S C Wong
Publisher : World Scientific
ISBN 13 : 9814493058
Total Pages : 524 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 1 by : Roderick S C Wong

Download or read book Collected Papers Of Stephen Smale, The (In 3 Volumes) - Volume 1 written by Roderick S C Wong and published by World Scientific. This book was released on 2000-06-30 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.

Nonlinear Phenomena in Mathematical Sciences

Author : V. Lakshmikantham
Publisher : Elsevier
ISBN 13 : 1483272052
Total Pages : 1062 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Nonlinear Phenomena in Mathematical Sciences by : V. Lakshmikantham

Download or read book Nonlinear Phenomena in Mathematical Sciences written by V. Lakshmikantham and published by Elsevier. This book was released on 2014-05-12 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Phenomena in Mathematical Sciences contains the proceedings of an International Conference on Nonlinear Phenomena in Mathematical Sciences, held at the University of Texas at Arlington, on June 16-20,1980. The papers explore trends in nonlinear phenomena in mathematical sciences, with emphasis on nonlinear functional analytic methods and their applications; nonlinear wave theory; and applications to medical and life sciences. In the area of nonlinear functional analytic methods and their applications, the following subjects are discussed: optimal control theory; periodic oscillations of nonlinear mechanical systems; Leray-Schauder degree theory; differential inequalities applied to parabolic and elliptic partial differential equations; bifurcation theory, stability theory in analytical mechanics; singular and ordinary boundary value problems, etc. The following topics in nonlinear wave theory are considered: nonlinear wave propagation in a randomly homogeneous media; periodic solutions of a semilinear wave equation; asymptotic behavior of solutions of strongly damped nonlinear wave equations; shock waves and dissipation theoretical methods for a nonlinear Schr?dinger equation; and nonlinear hyperbolic Volterra equations occurring in viscoelasticity. Applications to medical and life sciences include mathematical modeling in physiology, pharmacokinetics, and neuro-mathematics, along with epidemic modeling and parameter estimation techniques. This book will be helpful to students, practitioners, and researchers in the field of mathematics.

Non-equilibrium Thermodynamics and Statistical Mechanics

Author : Phil Attard
Publisher : OUP Oxford
ISBN 13 : 019163977X
Total Pages : 480 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Non-equilibrium Thermodynamics and Statistical Mechanics by : Phil Attard

Download or read book Non-equilibrium Thermodynamics and Statistical Mechanics written by Phil Attard and published by OUP Oxford. This book was released on 2012-10-04 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: `Non-equilibrium Thermodynamics and Statistical Mechanics: Foundations and Applications' builds from basic principles to advanced techniques, and covers the major phenomena, methods, and results of time-dependent systems. It is a pedagogic introduction, a comprehensive reference manual, and an original research monograph. Uniquely, the book treats time-dependent systems by close analogy with their static counterparts, with most of the familiar results of equilibrium thermodynamics and statistical mechanics being generalized and applied to the non-equilibrium case. The book is notable for its unified treatment of thermodynamics, hydrodynamics, stochastic processes, and statistical mechanics, for its self-contained, coherent derivation of a variety of non-equilibrium theorems, and for its quantitative tests against experimental measurements and computer simulations. Systems that evolve in time are more common than static systems, and yet until recently they lacked any over-arching theory. 'Non-equilibrium Thermodynamics and Statistical Mechanics' is unique in its unified presentation of the theory of non-equilibrium systems, which has now reached the stage of quantitative experimental and computational verification. The novel perspective and deep understanding that this book brings offers the opportunity for new direction and growth in the study of time-dependent phenomena. 'Non-equilibrium Thermodynamics and Statistical Mechanics' is an invaluable reference manual for experts already working in the field. Research scientists from different disciplines will find the overview of time-dependent systems stimulating and thought-provoking. Lecturers in physics and chemistry will be excited by many fresh ideas and topics, insightful explanations, and new approaches. Graduate students will benefit from its lucid reasoning and its coherent approach, as well as from the chem12physof mathematical techniques, derivations, and computer algorithms.

The Collected Papers of Stephen Smale

Author : Stephen Smale
Publisher : World Scientific
ISBN 13 : 9789810249915
Total Pages : 532 pages
Book Rating : 4.2/5 (499 download)

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Book Synopsis The Collected Papers of Stephen Smale by : Stephen Smale

Download or read book The Collected Papers of Stephen Smale written by Stephen Smale and published by World Scientific. This book was released on 2000 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.

Statistical Mechanics in a Nutshell, Second Edition

Author : Luca Peliti
Publisher : Princeton University Press
ISBN 13 : 0691248451
Total Pages : 577 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Statistical Mechanics in a Nutshell, Second Edition by : Luca Peliti

Download or read book Statistical Mechanics in a Nutshell, Second Edition written by Luca Peliti and published by Princeton University Press. This book was released on 2024-08-06 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to modern statistical mechanics—now completely updated and expanded Statistical mechanics is one of the most exciting areas of physics today and has applications to subjects ranging from economics and social behavior to algorithmic theory and evolutionary biology. Statistical Mechanics in a Nutshell provides a self-contained introduction to this rapidly developing field. Starting with the basics of kinetic theory and requiring only a background in elementary calculus and mechanics, this concise book discusses the most important developments of recent decades and guides readers to the very threshold of today’s cutting-edge research. Features a new chapter on stochastic thermodynamics with an introduction to the thermodynamics of information—the first treatment of its kind in an introductory textbook Offers a more detailed account of numerical simulations, including simulated annealing and other accelerated Monte Carlo methods The chapter on complex systems now features an accessible introduction to the replica theory of spin glasses and the Hopfield theory of neural networks, with an emphasis on applications Provides a new discussion of defect-mediated transitions and their implications for two-dimensional melting An invaluable resource for graduate students and advanced undergraduates seeking a compact primer on the core ideas of statistical mechanics Solutions manual (available only to instructors)

Journal of Research of the National Bureau of Standards

Author : United States. National Bureau of Standards
Publisher :
ISBN 13 :
Total Pages : 1634 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Journal of Research of the National Bureau of Standards by : United States. National Bureau of Standards

Download or read book Journal of Research of the National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1974 with total page 1634 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Chemical Physics, Volume 51

Author : Ilya Prigogine
Publisher : John Wiley & Sons
ISBN 13 : 0470143185
Total Pages : 302 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Advances in Chemical Physics, Volume 51 by : Ilya Prigogine

Download or read book Advances in Chemical Physics, Volume 51 written by Ilya Prigogine and published by John Wiley & Sons. This book was released on 2009-09-08 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Catalog of Copyright Entries. Third Series

Author : Library of Congress. Copyright Office
Publisher : Copyright Office, Library of Congress
ISBN 13 :
Total Pages : 1862 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Catalog of Copyright Entries. Third Series by : Library of Congress. Copyright Office

Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1975 with total page 1862 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-Equilibrium Statistical Mechanics

Author : Ilya Prigogine
Publisher : Courier Dover Publications
ISBN 13 : 0486815552
Total Pages : 337 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Non-Equilibrium Statistical Mechanics by : Ilya Prigogine

Download or read book Non-Equilibrium Statistical Mechanics written by Ilya Prigogine and published by Courier Dover Publications. This book was released on 2017-03-17 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groundbreaking monograph by Nobel Prize winner for researchers and graduate students covers Liouville equation, anharmonic solids, Brownian motion, weakly coupled gases, scattering theory and short-range forces, general kinetic equations, more. 1962 edition.

Dynamic Light Scattering

Author : Bruce J. Berne
Publisher : Courier Corporation
ISBN 13 : 0486320243
Total Pages : 482 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Dynamic Light Scattering by : Bruce J. Berne

Download or read book Dynamic Light Scattering written by Bruce J. Berne and published by Courier Corporation. This book was released on 2013-07-24 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lasers play an increasingly important role in a variety of detection techniques, making inelastic light scattering a tool of growing value in the investigation of dynamic and structural problems in chemistry, biology, and physics. Until the initial publication of this work, however, no monograph treated the principles behind current developments in the field.This volume presents a comprehensive introduction to the principles underlying laser light scattering, focusing on the time dependence of fluctuations in fluid systems; it also serves as an introduction to the theory of time correlation functions, with chapters on projection operator techniques in statistical mechanics. The first half comprises most of the material necessary for an elementary understanding of the applications to the study of macromolecules, or comparable sized particles in fluids, and to the motility of microorganisms. The study of collective (or many particle) effects constitutes the second half, including more sophisticated treatments of macromolecules in solution and most of the applications of light scattering to the study of fluids containing small molecules.With its wide-ranging discussions of the many applications of light scattering, this text will be of interest to research chemists, physicists, biologists, medical and fluid mechanics researchers, engineers, and graduate students in these areas.

Fields Medallists' Lectures, 2nd Edition

Author : Michael Atiyah
Publisher : World Scientific
ISBN 13 : 9814486809
Total Pages : 824 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Fields Medallists' Lectures, 2nd Edition by : Michael Atiyah

Download or read book Fields Medallists' Lectures, 2nd Edition written by Michael Atiyah and published by World Scientific. This book was released on 2003-11-03 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field — that of mathematics — and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes.A list of Fields Medallists and their contributions provides a bird's-eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from Fields Medallists and so provides a highly interesting and varied picture.The second edition of Fields Medallists' Lectures features additional contributions from the following Medallists: Kunihiko Kodaira (1954), Richard E Borcherds (1998), William T Gowers (1998), Maxim Kontsevich (1998), Curtis T McMullen (1998) and Vladimir Voevodsky (2002).