Monte Carlo Methods In Statistical Physics

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Monte Carlo Simulation in Statistical Physics

Author : Kurt Binder,Dieter W. Heermann
Publisher : Springer Science & Business Media
Page : 132 pages
File Size : 49,7 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783662302736

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Monte Carlo Simulation in Statistical Physics by Kurt Binder,Dieter W. Heermann Pdf

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.

Monte Carlo Methods in Statistical Physics

Author : Kurt Binder
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642828034

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Monte Carlo Methods in Statistical Physics by Kurt Binder Pdf

In the seven years since this volume first appeared. there has been an enormous expansion of the range of problems to which Monte Carlo computer simulation methods have been applied. This fact has already led to the addition of a companion volume ("Applications of the Monte Carlo Method in Statistical Physics", Topics in Current Physics. Vol . 36), edited in 1984, to this book. But the field continues to develop further; rapid progress is being made with respect to the implementation of Monte Carlo algorithms, the construction of special-purpose computers dedicated to exe cute Monte Carlo programs, and new methods to analyze the "data" generated by these programs. Brief descriptions of these and other developments, together with numerous addi tional references, are included in a new chapter , "Recent Trends in Monte Carlo Simulations" , which has been written for this second edition. Typographical correc tions have been made and fuller references given where appropriate, but otherwise the layout and contents of the other chapters are left unchanged. Thus this book, together with its companion volume mentioned above, gives a fairly complete and up to-date review of the field. It is hoped that the reduced price of this paperback edition will make it accessible to a wide range of scientists and students in the fields to which it is relevant: theoretical phYSics and physical chemistry , con densed-matter physics and materials science, computational physics and applied mathematics, etc.

Monte Carlo Methods in Statistical Physics

Author : M. E. J. Newman,G. T. Barkema
Publisher : Clarendon Press
Page : 496 pages
File Size : 40,7 Mb
Release : 1999-02-11
Category : Computers
ISBN : 0198517971

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Monte Carlo Methods in Statistical Physics by M. E. J. Newman,G. T. Barkema Pdf

This book provides an introduction to the use of Monte Carlo computer simulation methods suitable for beginning graduate students and beyond. It is suitable for a course text for physics or chemistry departments or for self-teaching.

A Guide to Monte Carlo Simulations in Statistical Physics

Author : David P. Landau,Kurt Binder
Publisher : Cambridge University Press
Page : 456 pages
File Size : 48,6 Mb
Release : 2005-09
Category : Computers
ISBN : 0521842387

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A Guide to Monte Carlo Simulations in Statistical Physics by David P. Landau,Kurt Binder Pdf

This updated edition deals with the Monte Carlo simulation of complex physical systems encountered in condensed-matter physics, statistical mechanics, and related fields. It contains many applications, examples, and exercises to help the reader. It is an excellent guide for graduate students and researchers who use computer simulations in their research.

A Guide to Monte Carlo Simulations in Statistical Physics

Author : David P. Landau,Kurt Binder
Publisher : Cambridge University Press
Page : 402 pages
File Size : 49,5 Mb
Release : 2000-08-17
Category : Mathematics
ISBN : 0521653665

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A Guide to Monte Carlo Simulations in Statistical Physics by David P. Landau,Kurt Binder Pdf

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.

Applications of the Monte Carlo Method in Statistical Physics

Author : Kurt Binder
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 46,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783642517037

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Applications of the Monte Carlo Method in Statistical Physics by Kurt Binder Pdf

Deals with the computer simulation of complex physical sys- tems encounteredin condensed-matter physics and statistical mechanics as well as in related fields such as metallurgy, polymer research, lattice gauge theory and quantummechanics.

Monte Carlo Simulation in Statistical Physics

Author : Kurt Binder,Dieter W. Heermann
Publisher : Springer Science & Business Media
Page : 202 pages
File Size : 42,5 Mb
Release : 2010-08-17
Category : Science
ISBN : 9783642031632

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Monte Carlo Simulation in Statistical Physics by Kurt Binder,Dieter W. Heermann Pdf

Monte Carlo Simulation in Statistical Physics deals with the computer simulation of many-body systems in condensed-matter physics and related fields of physics, chemistry and beyond, to traffic flows, stock market fluctuations, etc.). Using random numbers generated by a computer, probability distributions are calculated, allowing the estimation of the thermodynamic properties of various systems. This book describes the theoretical background to several variants of these Monte Carlo methodsand gives a systematic presentation from which newcomers can learn to perform such simulations and to analyze their results. The fifth edition covers Classical as well as Quantum Monte Carlo methods. Furthermore a new chapter on the sampling of free energy landscapes has been added. To help students in their work a special web server has been installed to host programs and discussion groups (http://wwwcp.tphys.uni-heidelberg.de). Prof. Binder was the winner of the Berni J. Alder CECAM Award for Computational Physics 2001 as well as the Boltzmann Medal in 2007.

Monte Carlo Methods in Statistical Physics

Author : M. E. J. Newman,G. T. Barkema
Publisher : Clarendon Press
Page : 490 pages
File Size : 44,6 Mb
Release : 1999-02-11
Category : Science
ISBN : 9780191589867

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Monte Carlo Methods in Statistical Physics by M. E. J. Newman,G. T. Barkema Pdf

This book provides an introduction to Monte Carlo simulations in classical statistical physics and is aimed both at students beginning work in the field and at more experienced researchers who wish to learn more about Monte Carlo methods. The material covered includes methods for both equilibrium and out of equilibrium systems, and common algorithms like the Metropolis and heat-bath algorithms are discussed in detail, as well as more sophisticated ones such as continuous time Monte Carlo, cluster algorithms, multigrid methods, entropic sampling and simulated tempering. Data analysis techniques are also explained starting with straightforward measurement and error-estimation techniques and progressing to topics such as the single and multiple histogram methods and finite size scaling. The last few chapters of the book are devoted to implementation issues, including discussions of such topics as lattice representations, efficient implementation of data structures, multispin coding, parallelization of Monte Carlo algorithms, and random number generation. At the end of the book the authors give a number of example programmes demonstrating the applications of these techniques to a variety of well-known models.

A Guide to Monte Carlo Simulations in Statistical Physics

Author : David P. Landau,Kurt Binder
Publisher : Cambridge University Press
Page : 128 pages
File Size : 52,7 Mb
Release : 2013-11-21
Category : Science
ISBN : 9781139480437

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A Guide to Monte Carlo Simulations in Statistical Physics by David P. Landau,Kurt Binder Pdf

Dealing with all aspects of Monte Carlo simulation of complex physical systems encountered in condensed-matter physics and statistical mechanics, this book provides an introduction to computer simulations in physics. This edition now contains material describing powerful new algorithms that have appeared since the previous edition was published, and highlights recent technical advances and key applications that these algorithms now make possible. Updates also include several new sections and a chapter on the use of Monte Carlo simulations of biological molecules. Throughout the book there are many applications, examples, recipes, case studies, and exercises to help the reader understand the material. It is ideal for graduate students and researchers, both in academia and industry, who want to learn techniques that have become a third tool of physical science, complementing experiment and analytical theory.

The Monte Carlo Method in Condensed Matter Physics

Author : Kurt Binder
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 50,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783662028551

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The Monte Carlo Method in Condensed Matter Physics by Kurt Binder Pdf

The Monte Carlo method is now widely used and commonly accepted as an important and useful tool in solid state physics and related fields. It is broadly recognized that the technique of "computer simulation" is complementary to both analytical theory and experiment, and can significantly contribute to ad vancing the understanding of various scientific problems. Widespread applications of the Monte Carlo method to various fields of the statistical mechanics of condensed matter physics have already been reviewed in two previously published books, namely Monte Carlo Methods in Statistical Physics (Topics Curro Phys. , Vol. 7, 1st edn. 1979, 2ndedn. 1986) and Applications of the Monte Carlo Method in Statistical Physics (Topics Curro Phys. , Vol. 36, 1st edn. 1984, 2nd edn. 1987). Meanwhile the field has continued its rapid growth and expansion, and applications to new fields have appeared that were not treated at all in the above two books (e. g. studies of irreversible growth phenomena, cellular automata, interfaces, and quantum problems on lattices). Also, new methodic aspects have emerged, such as aspects of efficient use of vector com puters or parallel computers, more efficient analysis of simulated systems con figurations, and methods to reduce critical slowing down at i>hase transitions. Taken together with the extensive activity in certain traditional areas of research (simulation of classical and quantum fluids, of macromolecular materials, of spin glasses and quadrupolar glasses, etc.

A Guide to Monte Carlo Simulations in Statistical Physics

Author : David P. Landau,Kurt Binder
Publisher : Cambridge University Press
Page : 539 pages
File Size : 43,9 Mb
Release : 2015
Category : Computers
ISBN : 9781107074026

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A Guide to Monte Carlo Simulations in Statistical Physics by David P. Landau,Kurt Binder Pdf

This revised fourth edition provides an introduction to computer simulations in physics, cutting-edge algorithms, essential techniques, and petascale computing.

Monte Carlo Methods in Statistical Physics

Author : K. Murthy
Publisher : Universities Press
Page : 148 pages
File Size : 45,9 Mb
Release : 2004
Category : Electronic
ISBN : 8173714991

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Monte Carlo Methods in Statistical Physics by K. Murthy Pdf

Monte Carlo simulations comprise a substantial part of the new and third major arm of investigation in the physical sciences that has emerged in recent times, to augment the traditional ones of experiment and theory. With the advent of high-speed digital computing, numerical simulations techniques like Monte Carlo have been very successful in extracting real world observations out of seemingly intractable theoretical models.

Forecasting in Mathematics

Author : Abdo Abou Jaoude
Publisher : BoD – Books on Demand
Page : 156 pages
File Size : 53,5 Mb
Release : 2021-01-27
Category : Computers
ISBN : 9781838808259

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Forecasting in Mathematics by Abdo Abou Jaoude Pdf

Mathematical probability and statistics are an attractive, thriving, and respectable part of mathematics. Some mathematicians and philosophers of science say they are the gateway to mathematics’ deepest mysteries. Moreover, mathematical statistics denotes an accumulation of mathematical discussions connected with efforts to most efficiently collect and use numerical data subject to random or deterministic variations. Currently, the concept of probability and mathematical statistics has become one of the fundamental notions of modern science and the philosophy of nature. This book is an illustration of the use of mathematics to solve specific problems in engineering, statistics, and science in general.

Computational Statistical Physics

Author : K.-H. Hoffmann,Michael Schreiber
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 44,7 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783662048047

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Computational Statistical Physics by K.-H. Hoffmann,Michael Schreiber Pdf

In recent years statistical physics has made significant progress as a result of advances in numerical techniques. While good textbooks exist on the general aspects of statistical physics, the numerical methods and the new developments based on large-scale computing are not usually adequately presented. In this book 16 experts describe the application of methods of statistical physics to various areas in physics such as disordered materials, quasicrystals, semiconductors, and also to other areas beyond physics, such as financial markets, game theory, evolution, and traffic planning, in which statistical physics has recently become significant. In this way the universality of the underlying concepts and methods such as fractals, random matrix theory, time series, neural networks, evolutionary algorithms, becomes clear. The topics are covered by introductory, tutorial presentations.

A Guide to Monte Carlo Simulations in Statistical Physics

Author : David Landau,Kurt Binder
Publisher : Cambridge University Press
Page : 583 pages
File Size : 52,5 Mb
Release : 2021-07-29
Category : Science
ISBN : 9781108809290

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A Guide to Monte Carlo Simulations in Statistical Physics by David Landau,Kurt Binder Pdf

Dealing with all aspects of Monte Carlo simulation of complex physical systems encountered in condensed matter physics and statistical mechanics, this book provides an introduction to computer simulations in physics. The 5th edition contains extensive new material describing numerous powerful algorithms and methods that represent recent developments in the field. New topics such as active matter and machine learning are also introduced. Throughout, there are many applications, examples, recipes, case studies, and exercises to help the reader fully comprehend the material. This book is ideal for graduate students and researchers, both in academia and industry, who want to learn techniques that have become a third tool of physical science, complementing experiment and analytical theory.