A Guide to Monte Carlo Simulations in Statistical Physics

A Guide to Monte Carlo Simulations in Statistical Physics

Author: David P. Landau

Publisher: Cambridge University Press

Published: 2000-08-17

Total Pages: 402

ISBN-13: 9780521653664

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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.


Statistical Mechanics

Statistical Mechanics

Author: Bruce Berne

Publisher: Springer

Published: 2012-05-06

Total Pages: 242

ISBN-13: 9781468425550

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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.


Critical Phenomena in Liquids and Liquid Crystals

Critical Phenomena in Liquids and Liquid Crystals

Author: Mikhail Alekseevich Anisimov

Publisher: CRC Press

Published: 1991

Total Pages: 452

ISBN-13: 9782881248061

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Phase transitions and critical phenomena in liquids and liquid crystals have been the subject of intensive research since the 1960s. However, books on this fascinating subject have tended to be written by theorists for theorists. Professor Anisimov offers us a new approach: he aims to introduce experimentalists to the modern theories and their applications. After introducing the thermodynamics of phase transitions, he presents the modern theory of critical phenomena. He then concludes by illustrating the utility of this theory in the analysis of experimental measurements in classical fluids and binary mixtures, superfluid mixtures of helium isotopes and liquid crystals. Not only will this book be enjoyed by experimental physicists, chemists and material scientists, it will also offer the theorist an insight into the interpretation of the experimentalist's work.


Emerging Topics in Physical Virology

Emerging Topics in Physical Virology

Author: Peter G. Stockley

Publisher: World Scientific

Published: 2010

Total Pages: 333

ISBN-13: 1848164661

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Emerging Topics in Physical Virology is a state-of-the-art account of recent advances in the experimental analysis and modeling of structure, function and dynamics of viruses. It is the first interdisciplinary book that integrates a review of relevant experimental techniques, such as cryo-electron microscopy, atomic force microscopy and mass spectrometry with the latest results on the biophysical and mathematical modeling of viruses. The book comprehensively covers the structure and physical properties of the protein envelopes that encapsulate and hence protect the delicate viral genome, their assembly and disassembly, the organization of the viral genome, infection, evolution, as well as applications of viruses in Biomedical Nanotechnology. It is an essential primer for scientists working in all aspects of virology, including the increasing use of viruses and virus-like particles in bio- and nano-technology. Its review style makes it moreover suitable for non-experts as an introduction into this exciting research area.


Perturbation Theories for the Thermodynamic Properties of Fluids and Solids

Perturbation Theories for the Thermodynamic Properties of Fluids and Solids

Author: J. R. Solana

Publisher: CRC Press

Published: 2013-03-22

Total Pages: 408

ISBN-13: 1439807752

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This book, Perturbation Theories for the Thermodynamic Properties of Fluids and Solids, provides a comprehensive review of current perturbation theories—as well as integral equation theories and density functional theories—for the equilibrium thermodynamic and structural properties of classical systems. Emphasizing practical applications, the text avoids complex theoretical derivations as much as possible. It begins with discussions of the nature of intermolecular forces and simple potential models. The book also presents a summary of statistical mechanics concepts and formulae. In addition, it reviews simulation techniques, providing background for the performance analyses of theories executed throughout the text using simulation data. Chapters describe integral equation theories, theoretical approaches for hard-sphere fluid or solid systems, and perturbation theories for simple fluids and solids for monocomponent and multicomponent systems. They also cover density functional theories for inhomogeneous systems and perturbative and nonperturbative approaches to describe the structure and thermodynamics of hard-body molecular fluids. The final chapter examines several more challenging systems, such as fluids near the critical point, liquid metals, molten salts, colloids, and aqueous protein solutions. This book offers a thorough account of the available equilibrium theories for the thermodynamic and structural properties of fluids and solids, with special focus on perturbation theories, emphasizing their applications, strengths, and weaknesses. Appropriate for experienced researchers as well as postgraduate students, the text presents a wide-ranging yet detailed view and provides a useful guide to the application of the theories described.


Finite-Size Scaling

Finite-Size Scaling

Author: J. Cardy

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 385

ISBN-13: 0444596062

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Over the past few years, finite-size scaling has become an increasingly important tool in studies of critical systems. This is partly due to an increased understanding of finite-size effects by analytical means, and partly due to our ability to treat larger systems with large computers. The aim of this volume was to collect those papers which have been important for this progress and which illustrate novel applications of the method. The emphasis has been placed on relatively recent developments, including the use of the &egr;-expansion and of conformal methods.


Computing for Scientists

Computing for Scientists

Author: R. J. Barlow

Publisher: John Wiley & Sons

Published: 1998-09-16

Total Pages: 300

ISBN-13: 9780471955962

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Strategien zur Lösung wissenschaftlicher Probleme mittels Fortran 90 und C++ sind Thema dieses Buches. Behandelt werden Fragestellungen, denen sich Naturwissenschaftler im Alltag häufig gegenübersehen, wie Simulationen, Graphik, Datenanalyse und die Manipulation von Datenstrukturen. Den Autoren kommt es nicht darauf an, zu zeigen, wie man ein Problem codiert - sie zielen eher auf die Vermittlung allgemeingültiger Prinzipien ab. Mit zahlreichen Beispielen. (8/98)