Introduction to Statistical Physics

Author: Silvio Salinas
Publisher: Springer Science & Business Media
ISBN: 9780387951195
Format: PDF, ePub, Docs
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This textbook covers the basic principles of statistical physics and thermodynamics. The text is pitched at the level equivalent to first-year graduate studies or advanced undergraduate studies. It presents the subject in a straightforward and lively manner. After reviewing the basic probability theory of classical thermodynamics, the author addresses the standard topics of statistical physics. The text demonstrates their relevance in other scientific fields using clear and explicit examples. Later chapters introduce phase transitions, critical phenomena and non-equilibrium phenomena.

Elementary Lectures in Statistical Mechanics

Author: George D.J. Phillies
Publisher: Springer Science & Business Media
ISBN: 1461212642
Format: PDF, Mobi
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This textbook for graduates and advanced undergraduates in physics and physical chemistry covers the major areas of statistical mechanics and concludes with the level of current research. It begins with the fundamental ideas of averages and ensembles, focusing on classical systems described by continuous variables such as position and momentum, and using the ideal gas as an example. It then turns to quantum systems, beginning with diatomic molecules and working up through blackbody radiation and chemical equilibria. The discussion of equilibrium properties of systems of interacting particles includes such techniques as cluster expansions and distribution functions and uses non-ideal gases, liquids, and solutions. Dynamic behavior -- treated here more extensively than in other texts -- is discussed from the point of view of correlation functions. The text concludes with the problem of diffusion in a suspension of interacting hard spheres and what can be learned about such a system from scattered light. Intended for a one-semester course, the text includes several "asides" on topics usually omitted from introductory courses, as well as numerous exercises.

Interacting Electrons and Quantum Magnetism

Author: Assa Auerbach
Publisher: Springer Science & Business Media
ISBN: 1461208696
Format: PDF
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In the excitement and rapid pace of developments, writing pedagogical texts has low priority for most researchers. However, in transforming my lecture l notes into this book, I found a personal benefit: the organization of what I understand in a (hopefully simple) logical sequence. Very little in this text is my original contribution. Most of the knowledge was collected from the research literature. Some was acquired by conversations with colleagues; a kind of physics oral tradition passed between disciples of a similar faith. For many years, diagramatic perturbation theory has been the major theoretical tool for treating interactions in metals, semiconductors, itiner ant magnets, and superconductors. It is in essence a weak coupling expan sion about free quasiparticles. Many experimental discoveries during the last decade, including heavy fermions, fractional quantum Hall effect, high temperature superconductivity, and quantum spin chains, are not readily accessible from the weak coupling point of view. Therefore, recent years have seen vigorous development of alternative, nonperturbative tools for handling strong electron-electron interactions. I concentrate on two basic paradigms of strongly interacting (or con strained) quantum systems: the Hubbard model and the Heisenberg model. These models are vehicles for fundamental concepts, such as effective Ha miltonians, variational ground states, spontaneous symmetry breaking, and quantum disorder. In addition, they are used as test grounds for various nonperturbative approximation schemes that have found applications in diverse areas of theoretical physics.

Statistical Field Theory

Author: Giuseppe Mussardo
Publisher: Oxford University Press
ISBN: 0199547580
Format: PDF, ePub, Docs
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A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.

An Introduction to Statistical Mechanics and Thermodynamics

Author: Robert H. Swendsen
Publisher: Oxford University Press
ISBN: 0199646945
Format: PDF, Docs
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This text presents statistical mechanics and thermodynamics as a theoretically integrated field of study. It stresses deep coverage of fundamentals, providing a natural foundation for advanced topics. The large problem sets (with solutions for teachers) include many computational problems to advance student understanding.

Statistical Mechanics Theory and Molecular Simulation

Author: Mark Tuckerman
Publisher: OUP Oxford
ISBN: 9780191523465
Format: PDF, ePub, Docs
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Complex systems that bridge the traditional disciplines of physics, chemistry, biology, and materials science can be studied at an unprecedented level of detail using increasingly sophisticated theoretical methodology and high-speed computers. The aim of this book is to prepare burgeoning users and developers to become active participants in this exciting and rapidly advancing research area by uniting for the first time, in one monograph, the basic concepts of equilibrium and time-dependent statistical mechanics with the modern techniques used to solve the complex problems that arise in real-world applications. The book contains a detailed review of classical and quantum mechanics, in-depth discussions of the most commonly used ensembles simultaneously with modern computational techniques such as molecular dynamics and Monte Carlo, and important topics including free-energy calculations, linear-response theory, harmonic baths and the generalized Langevin equation, critical phenomena, and advanced conformational sampling methods. Burgeoning users and developers are thus provided firm grounding to become active participants in this exciting and rapidly advancing research area, while experienced practitioners will find the book to be a useful reference tool for the field.

Statistical Physics

Author: Josef Honerkamp
Publisher: Springer Science & Business Media
ISBN: 3662037092
Format: PDF, Docs
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Statistical Physics offers an advanced treatment with numerous applications to modern problems of relevance to researchers and students. Supplementing the concepts and methods employed in statistical mechanics, the book also covers the fundamentals of probability and statistics, mathematical statistics, and stochastic methods for the analysis of data. It is divided into two parts, the first focusing on the modeling of statistical systems, the second on the analysis of these systems.

Introduction to Modern Statistical Mechanics

Author: David Chandler
Publisher: Oxford University Press, USA
ISBN: 9780195042771
Format: PDF, ePub, Mobi
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"[This] book contains concise explanations of such fundamentals as the connection between measurements and ensemble averages, discussions of equilibrium fluctuations and stability criteria, and the utility of Legendre transforms. It also explores many of the traditional elementary applications of statistical mechanics. Most importantly, it treats the principles and basic methods of time correlation functions (including the fluctuation-dissipation theorem and the Langevin equation), renormalization group theory, Monte Carlo simulations, and liquid structure."--Back cover.

An Introduction to Statistical Thermodynamics

Author: Terrell L. Hill
Publisher: Courier Corporation
ISBN: 0486130908
Format: PDF, Docs
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Four-part treatment covers principles of quantum statistical mechanics, systems composed of independent molecules or other independent subsystems, and systems of interacting molecules, concluding with a consideration of quantum statistics.

Monte Carlo Simulation in Statistical Physics

Author: Kurt Binder
Publisher: Springer Science & Business Media
ISBN: 366230273X
Format: PDF, ePub, Mobi
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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.