The Random-Cluster Model

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Publisher : Springer Science & Business Media
ISBN 13 : 3540328912
Total Pages : 392 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis The Random-Cluster Model by : Geoffrey R. Grimmett

Download or read book The Random-Cluster Model written by Geoffrey R. Grimmett and published by Springer Science & Business Media. This book was released on 2006-12-13 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The random-cluster model has emerged as a key tool in the mathematical study of ferromagnetism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from probability and geometry. The Random-Cluster Model contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems. The book includes treatment of the first-order (discontinuous) phase transition.

Physics Briefs

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Publisher :
ISBN 13 :
Total Pages : 1162 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Physics Briefs by :

Download or read book Physics Briefs written by and published by . This book was released on 1994 with total page 1162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scale Invariance

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Publisher : Springer Science & Business Media
ISBN 13 : 364215123X
Total Pages : 406 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Scale Invariance by : Annick LESNE

Download or read book Scale Invariance written by Annick LESNE and published by Springer Science & Business Media. This book was released on 2011-11-04 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: During a century, from the Van der Waals mean field description (1874) of gases to the introduction of renormalization group (RG techniques 1970), thermodynamics and statistical physics were just unable to account for the incredible universality which was observed in numerous critical phenomena. The great success of RG techniques is not only to solve perfectly this challenge of critical behaviour in thermal transitions but to introduce extremely useful tools in a wide field of daily situations where a system exhibits scale invariance. The introduction of scaling, scale invariance and universality concepts has been a significant turn in modern physics and more generally in natural sciences. Since then, a new "physics of scaling laws and critical exponents", rooted in scaling approaches, allows quantitative descriptions of numerous phenomena, ranging from phase transitions to earthquakes, polymer conformations, heartbeat rhythm, diffusion, interface growth and roughening, DNA sequence, dynamical systems, chaos and turbulence. The chapters are jointly written by an experimentalist and a theorist. This book aims at a pedagogical overview, offering to the students and researchers a thorough conceptual background and a simple account of a wide range of applications. It presents a complete tour of both the formal advances and experimental results associated with the notion of scaling, in physics, chemistry and biology.

A Guide to Monte Carlo Simulations in Statistical Physics

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Publisher : Cambridge University Press
ISBN 13 : 9780521653664
Total Pages : 402 pages
Book Rating : 4.6/5 (536 download)

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Book Synopsis A Guide to Monte Carlo Simulations in Statistical Physics by : David P. Landau

Download or read book A Guide to Monte Carlo Simulations in Statistical Physics written by David P. Landau and published by Cambridge University Press. This book was released on 2000-08-17 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes all aspects of Monte Carlo simulation of complex physical systems encountered in condensed-matter physics and statistical mechanics, as well as in related fields, such as polymer science and lattice gauge theory. The authors give a succinct overview of simple sampling methods and develop the importance sampling method. In addition they introduce quantum Monte Carlo methods, aspects of simulations of growth phenomena and other systems far from equilibrium, and the Monte Carlo Renormalization Group approach to critical phenomena. The book includes many applications, examples, and current references, and exercises to help the reader.

Metals Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1342 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Metals Abstracts by :

Download or read book Metals Abstracts written by and published by . This book was released on 1978 with total page 1342 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monte Carlo Simulation in Statistical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 366230273X
Total Pages : 201 pages
Book Rating : 4.6/5 (623 download)

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Book Synopsis Monte Carlo Simulation in Statistical Physics by : Kurt Binder

Download or read book Monte Carlo Simulation in Statistical Physics written by Kurt Binder and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: When learning very formal material one comes to a stage where one thinks one has understood the material. Confronted with a "realiife" problem, the passivity of this understanding sometimes becomes painfully elear. To be able to solve the problem, ideas, methods, etc. need to be ready at hand. They must be mastered (become active knowledge) in order to employ them successfully. Starting from this idea, the leitmotif, or aim, of this book has been to elose this gap as much as possible. How can this be done? The material presented here was born out of a series of lectures at the Summer School held at Figueira da Foz (Portugal) in 1987. The series of lectures was split into two concurrent parts. In one part the "formal material" was presented. Since the background of those attending varied widely, the presentation of the formal material was kept as pedagogic as possible. In the formal part the general ideas behind the Monte Carlo method were developed. The Monte Carlo method has now found widespread appli cation in many branches of science such as physics, chemistry, and biology. Because of this, the scope of the lectures had to be narrowed down. We could not give a complete account and restricted the treatment to the ap plication of the Monte Carlo method to the physics of phase transitions. Here particular emphasis is placed on finite-size effects.

Relativistic Heavy-ion Collisions

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Publisher : CRC Press
ISBN 13 : 9782881247347
Total Pages : 338 pages
Book Rating : 4.2/5 (473 download)

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Book Synopsis Relativistic Heavy-ion Collisions by : Rudolph C. Hwa

Download or read book Relativistic Heavy-ion Collisions written by Rudolph C. Hwa and published by CRC Press. This book was released on 1990 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers of the June 1989 meeting in Beijing by the China Center of Advanced Science and Technology. This small book covers nucleus- nucleus collisions, states of the vacuum, and highly relativistic heavy ions in the experimental realm. Theoretical papers deal with quark-gluon plasma, and relativistic heavy ion collisions. Annotation copyrighted by Book News, Inc., Portland, OR

Glassy Materials and Disordered Solids

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Publisher : World Scientific
ISBN 13 : 9814350176
Total Pages : 562 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Glassy Materials and Disordered Solids by : Kurt Binder

Download or read book Glassy Materials and Disordered Solids written by Kurt Binder and published by World Scientific. This book was released on 2011 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a pedagogical introduction to the physics of amorphous solids and related disordered condensed matter systems. Important concepts from statistical mechanics such as percolation, random walks, fractals and spin glasses are explained. Using these concepts, the common aspects of these systems are emphasized, and the current understanding of the glass transition and the structure of glasses are concisely reviewed. This second edition includes new material on emerging topics in the field of disordered systems such as gels, driven systems, dynamical heterogeneities, growing length scales etc. as well as an update of the literature in this rapidly developing field.

Computational Materials Engineering

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Publisher : Academic Press
ISBN 13 : 0080555497
Total Pages : 359 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Computational Materials Engineering by : Koenraad George Frans Janssens

Download or read book Computational Materials Engineering written by Koenraad George Frans Janssens and published by Academic Press. This book was released on 2010-07-26 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Materials Engineering is an advanced introduction to the computer-aided modeling of essential material properties and behavior, including the physical, thermal and chemical parameters, as well as the mathematical tools used to perform simulations. Its emphasis will be on crystalline materials, which includes all metals. The basis of Computational Materials Engineering allows scientists and engineers to create virtual simulations of material behavior and properties, to better understand how a particular material works and performs and then use that knowledge to design improvements for particular material applications. The text displays knowledge of software designers, materials scientists and engineers, and those involved in materials applications like mechanical engineers, civil engineers, electrical engineers, and chemical engineers. Readers from students to practicing engineers to materials research scientists will find in this book a single source of the major elements that make up contemporary computer modeling of materials characteristics and behavior. The reader will gain an understanding of the underlying statistical and analytical tools that are the basis for modeling complex material interactions, including an understanding of computational thermodynamics and molecular kinetics; as well as various modeling systems. Finally, the book will offer the reader a variety of algorithms to use in solving typical modeling problems so that the theory presented herein can be put to real-world use. - Balanced coverage of fundamentals of materials modeling, as well as more advanced aspects of modeling, such as modeling at all scales from the atomic to the molecular to the macro-material - Concise, yet rigorous mathematical coverage of such analytical tools as the Potts type Monte Carlo method, cellular automata, phase field, dislocation dynamics and Finite Element Analysis in statistical and analytical modeling

Statistical Mechanics

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Publisher : Springer
ISBN 13 : 9781468425550
Total Pages : 242 pages
Book Rating : 4.4/5 (255 download)

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Book Synopsis Statistical Mechanics by : Bruce Berne

Download or read book Statistical Mechanics written by Bruce Berne and published by Springer. This book was released on 2012-05-06 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last decade has been marked by a rapid growth in statistical mechanics, especially in connection with the physics and chemistry of the fluid state. Our understanding in these areas has been considerably advanced and enriched by the discovery of new techniques and the sharpening of old techniques, ranging all the way from computer simulation to mode-mode coupling theories. Statistical mechanics brings together under one roof a broad spectrum of mathematical techniques. The aim of these volumes is to provide a didactic treatment of those techniques that are most useful for the study of problems of current interest to theoretical chemists. The emphasis throughout is on the techniques themselves and not on reviewing the enormous literature in statistical mechanics. Each author was charged with the following task. Given N pages, (a) pose the problem, (b) present those aspects of the particular technique that clearly illustrate its internal workings, (c) apply the technique to the solution of several illustrative examples, and (d) write the chapter so that it will enable the reader to approach key citations to the literature intelligently. These volumes are designed for graduate students and research workers in statistical mechanics. Nevertheless, because of the range of techniques and their general utility, they should be useful in other areas as well.

Equilibrium Statistical Physics

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Publisher : World Scientific
ISBN 13 : 9789810216429
Total Pages : 540 pages
Book Rating : 4.2/5 (164 download)

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Book Synopsis Equilibrium Statistical Physics by : Michael Plischke

Download or read book Equilibrium Statistical Physics written by Michael Plischke and published by World Scientific. This book was released on 1994 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook concentrates on modern topics in statistical physics with an emphasis on strongly interacting condensed matter systems. The book is self-contained and is suitable for beginning graduate students in physics and materials science or undergraduates who have taken an introductory course in statistical mechanics. Phase transitions and critical phenomena are discussed in detail including mean field and Landau theories and the renormalization group approach. The theories are applied to a number of interesting systems such as magnets, liquid crystals, polymers, membranes, interacting Bose and Fermi fluids; disordered systems, percolation and spin of equilibrium concepts are also discussed. Computer simulations of condensed matter systems by Monte Carlo-based and molecular dynamics methods are treated.

Emergent Phenomena in Correlated Matter

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Publisher : Forschungszentrum Jülich
ISBN 13 : 3893368841
Total Pages : 562 pages
Book Rating : 4.8/5 (933 download)

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Book Synopsis Emergent Phenomena in Correlated Matter by : Eva Pavarini

Download or read book Emergent Phenomena in Correlated Matter written by Eva Pavarini and published by Forschungszentrum Jülich. This book was released on 2013 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Thermodynamics of Materials

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Publisher : Cambridge University Press
ISBN 13 : 0521198968
Total Pages : 261 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Computational Thermodynamics of Materials by : Zi-Kui Liu

Download or read book Computational Thermodynamics of Materials written by Zi-Kui Liu and published by Cambridge University Press. This book was released on 2016-06-30 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrates fundamental concepts with experimental data and practical applications, including worked examples and end-of-chapter problems.

Scaling and Disordered Systems

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Publisher : World Scientific
ISBN 13 : 9789810248383
Total Pages : 364 pages
Book Rating : 4.2/5 (483 download)

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Book Synopsis Scaling and Disordered Systems by : Fereydoon Family

Download or read book Scaling and Disordered Systems written by Fereydoon Family and published by World Scientific. This book was released on 2002 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigation of the fractal and scaling properties of disordered systems has recently become a focus of great interest in research. Disordered or amorphous materials, like glasses, polymers, gels, colloids, ceramic superconductors and random alloys or magnets, do not have a homogeneous microscopic structure. The microscopic environment varies randomly from site to site in the system and this randomness adds to the complexity and the richness of the properties of these materials. A particularly challenging aspect of random systems is their dynamical behavior. Relaxation in disordered systems generally follows an unusual time-dependent trajectory. Applications of scaling and fractal concepts in disordered systems have become a broad area of interdisciplinary research, involving studies of the physics, chemistry, mathematics, biology and engineering aspects of random systems. This book is intended for specialists as well as graduate and postdoctoral students working in condensed-matter or statistical physics. It provides state-of-the-art information on the latest developments in this important and timely topic. The book is divided into three parts: Part I deals with critical phenomena, Part II is devoted to discussion of slow dynamics and Part III involves the application of scaling concepts to random systems. The effects of disorder at the mesoscopic scale as well as the latest results on the dynamical properties of disordered systems are presented. In particular, recent developments in static and dynamic scaling theories and applications of fractal concepts to disordered systems are discussed.

The Two-Dimensional Ising Model

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Publisher : Courier Corporation
ISBN 13 : 048678312X
Total Pages : 484 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis The Two-Dimensional Ising Model by : Barry M. McCoy

Download or read book The Two-Dimensional Ising Model written by Barry M. McCoy and published by Courier Corporation. This book was released on 2014-03-05 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1973, this is the definitive book on the Ising model, a mathematical model of ferromagnetism in statistical mechanics. This updated edition of the classic text features an extensive section on new developments.

Introduction to Frustrated Magnetism

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Publisher : Springer Science & Business Media
ISBN 13 : 3642105890
Total Pages : 682 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Introduction to Frustrated Magnetism by : Claudine Lacroix

Download or read book Introduction to Frustrated Magnetism written by Claudine Lacroix and published by Springer Science & Business Media. This book was released on 2011-01-12 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of highly frustrated magnetism has developed considerably and expanded over the last 15 years. Issuing from canonical geometric frustration of interactions, it now extends over other aspects with many degrees of freedom such as magneto-elastic couplings, orbital degrees of freedom, dilution effects, and electron doping. Its is thus shown here that the concept of frustration impacts on many other fields in physics than magnetism. This book represents a state-of-the-art review aimed at a broad audience with tutorial chapters and more topical ones, encompassing solid-state chemistry, experimental and theoretical physics.

Complex Inorganic Solids

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Publisher : Springer Science & Business Media
ISBN 13 : 0387259538
Total Pages : 420 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Complex Inorganic Solids by : Patrice E. A. Turchi

Download or read book Complex Inorganic Solids written by Patrice E. A. Turchi and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the key aspects of this volume is to cut across the traditional taxonomy of disciplines in the study of alloys. Hence there has been a deliberate attempt to integrate the different approaches taken towards alloys as a class of materials in different fields, ranging from geology to metallurgical engineering. The emphasis of this book is to highlight commonalities between different fields with respect to how alloys are studied. The topics in this book fall into several themes, which suggest a number of different classification schemes. We have chosen a scheme that classifies the papers in the volume into the categories Microstructural Considerations, Ordering, Kinetics and Diffusion, Magnetic Considerations and Elastic Considerations. The book has juxtaposed apparently disparate approaches to similar physical processes, in the hope of revealing a more dynamic character of the processes under consideration. This monograph will invigorate new kinds of discussion and reveal challenges and new avenues to the description and prediction of properties of materials in the solid state and the conditions that produce them.