Monte Carlo Simulations Of The Ising Model

Author: Michael Adler
Editor: Anchor Academic Publishing
ISBN: 3954898799
File Size: 71,59 MB
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In this book, the thermodynamic observables of the classical one- and two-dimensional ferromagnetic and antiferromagnetic Ising models on a square lattice are simulated, especially at the phase transitions (if applicable) using the classical Monte Carlo algorithm of Metropolis. Finite size effects and the influence of an external magnetic field are described. The critical temperature of the 2d ferromagnetic Ising model is obtained using finite size scaling. Before presenting the Ising model, the basic concepts of statistical mechanics are recapped. Furthermore, the general principles of Monte Carlo methods are explained.

Study Of Two Dimensional Ising Model By Monte Carlo Simulation

Author: Seong Thye Toh
Editor:
ISBN:
File Size: 79,49 MB
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Monte Carlo Methods Applied To The Ising Model

Author: Michael Adler
Editor: diplom.de
ISBN: 3956363140
File Size: 34,25 MB
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The thermodynamic observables of the classical one– and two–dimensional ferromagnetic and antiferromagnetic Ising models on a square lattice are simulated, especially at the phase transitions (if applicable) using the classical Monte Carlo algorithm of Metropolis. Finite size effects and the influence of an external magnetic field are described. The critical temperature of the 2d ferromagnetic Ising model is obtained using finite size scaling.

Monte Carlo Simulations Of Disordered Systems

Author: S. Jain
Editor: World Scientific
ISBN: 9789810236892
File Size: 75,61 MB
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This book covers the techniques of computer simulations of disordered systems. It describes how one performs Monte Carlo simulations in condensed matter physics and deals with spin-glasses, percolating networks and the random field Ising model. Other methods mentioned are molecular dynamics and Brownian dynamics. Use of flow-diagrams enables the reader to grasp both the problem and its solution more readily. The book deals with highly complicated problems at a relatively simple level and will be most useful for advanced undergraduate and other courses in computational modelling.

Monte Carlo Simulation In Statistical Physics

Author: Institut Fur Physik Kurt Binder
Editor: Springer Science & Business Media
ISBN: 9783540432210
File Size: 22,50 MB
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Monte Carlo Simulation in Statistical Physics deals with the computer simulation of many-body systems in condensed-matter physics and related fields. The authors provide an excellent introduction to the theory and practice of this method. 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 methods. It also contains a systematic presentation from which newcomers can learn to perform simulations. This fourth edition has been updated and a new chapter on Monte Carlo simulation of quantum-mechanical problems has been added.

Monte Carlo Simulation

Author: Frederick J. Mitchell
Editor:
ISBN: 9781536119893
File Size: 47,48 MB
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Chapter One presents a study on application of Monte Carlo simulation in reliability assessment of composite electric power systems. Chapter Two develops a PK/PD model to evaluate, by Monte Carlo simulation as a data maximisation strategy, the antiviral activity of two stavudine formulations: conventional stavudine and stavudine-gold nanoparticles (stavudine-AuNPs). In Chapter Three, the magnetic properties of the kagom� lattice is studied with RudermanKittelKasuyaYosida (RKKY) exchange interactions in a spin-7/2 and alternate mixed spin-5/2 and spin-2 Ising model on the Bethe lattice by using the Monte Carlo simulations.

A Guide To Monte Carlo Simulations In Statistical Physics

Author: David P. Landau
Editor: Cambridge University Press
ISBN: 113948043X
File Size: 25,11 MB
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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
Editor: Springer Science & Business Media
ISBN: 3662028557
File Size: 15,30 MB
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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.

Markov Chain Monte Carlo Simulations And Their Statistical Analysis

Author: Bernd A. Berg
Editor: World Scientific
ISBN: 9789812389350
File Size: 34,89 MB
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This book teaches modern Markov chain Monte Carlo (MC) simulation techniques step by step. The material should be accessible to advanced undergraduate students and is suitable for a course. It ranges from elementary statistics concepts (the theory behind MC simulations), through conventional Metropolis and heat bath algorithms, autocorrelations and the analysis of the performance of MC algorithms, to advanced topics including the multicanonical approach, cluster algorithms and parallel computing. Therefore, it is also of interest to researchers in the field. The book relates the theory directly to Web-based computer code. This allows readers to get quickly started with their own simulations and to verify many numerical examples easily. The present code is in Fortran 77, for which compilers are freely available. The principles taught are important for users of other programming languages, like C or C++.

Energy Research Abstracts

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Lattice Gauge Theories And Monte Carlo Simulations

Author: Claudio Rebbi
Editor: World Scientific
ISBN: 9789971950705
File Size: 50,38 MB
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This volume is the most up-to-date review on Lattice Gauge Theories and Monte Carlo Simulations. It consists of two parts. Part one is an introductory lecture on the lattice gauge theories in general, Monte Carlo techniques and on the results to date. Part two consists of important original papers in this field. These selected reprints involve the following: Lattice Gauge Theories, General Formalism and Expansion Techniques, Monte Carlo Simulations. Phase Structures, Observables in Pure Gauge Theories, Systems with Bosonic Matter Fields, Simulation of Systems with Fermions.

Physics Briefs

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Monte Carlo Simulation In Statistical Physics

Author: Kurt Binder
Editor: Springer Science & Business Media
ISBN: 366230273X
File Size: 49,72 MB
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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.

High Energy Physics Index

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ISBN:
File Size: 73,19 MB
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Monte Carlo Study Of The Random Field Ising Model

Author: M. E. J. Newman
Editor:
ISBN:
File Size: 52,72 MB
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Handbook Of Magnetism And Advanced Magnetic Materials Fundamentals And Theory

Author: Helmut Kronmüller
Editor: Wiley-Interscience
ISBN:
File Size: 55,94 MB
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From the first application of the oxide magnetite as a compass in China in ancient times, and from the early middle ages in Europe, magnetic materials have become an indispensable part of our daily life. Magnetic materials are used ubiquitously in the modern world, in fields as diverse as, for example, electrical energy transport, high-power electro-motors and generators, telecommunication systems, navigation equipment, aviation and space operations, micromechanical automation, medicine, magnetocaloric refrigeration, computer science, high density recording, non-destructive testing of materials, and in many household applications. Research in many of these areas continues apace. The progress made in recent years in computational sciences and advanced material preparation techniques has dramatically improved our knowledge of fundamental properties and increased our ability to produce materials with highly-tailored magnetic properties, even down to the nanoscale dimension. Containing approximately 120 chapters written and edited by acknowledged world leaders in the field, The Handbook of Magnetism and Advanced Magnetic Materials provides a state-of-the-art, comprehensive overview of our current understanding of the fundamental properties of magnetically ordered materials, and their use in a wide range of sophisticated applications. The Handbook is published in five themed volumes, as follows: Volume 1- Fundamentals and Theory Volume 2- Micromagnetism Volume 3- Novel Techniques for Characterizing and Preparing Samples Volume 4- Novel Materials Volume 5- Spintronics and Magnetoelectronics

Quantum Monte Carlo Methods

Author: James Gubernatis
Editor: Cambridge University Press
ISBN: 1107006422
File Size: 61,68 MB
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The first textbook to provide a pedagogical examination of the major algorithms used in quantum Monte Carlo simulations.

Statistical Mechanics Of Phase Transitions

Author: J. M. Yeomans
Editor: Clarendon Press
ISBN: 0191589705
File Size: 66,60 MB
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The book provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers in experimental physics, chemistry, and metallurgy as an exposition of current theoretical understanding. - ;Recent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field. The book will be useful as a textbook for a course in `Phase Transitions', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist. - ;Introduction; Statistical mechanics and thermodynamics; Models; Mean-field theories; The transfer matrix; Series expansions; Monte Carlo simulations; The renormalization group; Implementations of the renormalization group. -

Applications Of The Monte Carlo Method In Statistical Physics

Author: Kurt Binder
Editor: Springer Science & Business Media
ISBN: 364251703X
File Size: 45,86 MB
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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.

Vorticity Statistical Mechanics And Monte Carlo Simulation

Author: Chjan Lim
Editor: Springer Science & Business Media
ISBN: 0387494316
File Size: 71,13 MB
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This book is drawn from across many active fields of mathematics and physics. It has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The authors explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them.