statistical mechanics a survival guide

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Statistical Mechanics

Author : A.M. Glazer
ISBN : 0198508166
Genre : Science
File Size : 23. 75 MB
Format : PDF
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This superb book provides the reader with a general perspective of an interdisciplinary field between statistical physics and information sciences/engineering. It is effectively the only book on the subject, aside from a collection of papers published fourteen years ago. The field is a rapidly expanding one and this self-contained presentation will be sure to acquire a wide audience in physics and engineering.

Statistical Mechanics For Beginners

Author : Lucien Gilles Benguigui
ISBN : 9789813100923
Genre : Science
File Size : 75. 8 MB
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This textbook is for undergraduate students on a basic course in Statistical Mechanics. The prerequisite is thermodynamics. It begins with a study of three situations — the closed system and the systems in thermal contact with a reservoir — in order to formulate the important fundamentals: entropy from Boltzmann formula, partition function and grand partition function. Through the presentation of quantum statistics, Bose statistics and Fermi–Dirac statistics are established, including as a special case the classical situation of Maxell–Boltzmann statistics. A series of examples ensue it: the harmonic oscillator, the polymer chain, the two level system, bosons (photons, phonons, and the Bose–Einstein condensation) and fermions (electrons in metals and in semiconductors). A compact historical note on influential scientists forms the concluding chapter. The unique presentation starts off with the principles, elucidating the well-developed theory, and only thereafter the application of theory. Calculations on the main steps are detailed, leaving behind minimal gap. The author emphasizes with theory the link between the macroscopic world (thermodynamics) and the microscopic world.

Introduction To Modern Statistical Mechanics

Author : David Chandler
ISBN : 0195042778
Genre : Philosophy
File Size : 33. 36 MB
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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.

Introductory Statistical Mechanics

Author : Roger Bowley
ISBN : UOM:39015047847721
Genre : Science
File Size : 65. 88 MB
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This book explains the ideas and techniques of statistical mechanics-the theory of condensed matter-in a simple and progressive way. The text starts with the laws of thermodynamics and simple ideas of quantum mechanics. The conceptual ideas underlying the subject are explained carefully; themathematical ideas are developed in parallel to give a coherent overall view. The text is illustrated with examples not just from solid state physics, but also from recent theories of radiation from black holes and recent data on the background radiation from the Cosmic background explorer. In thissecond edition, slightly more advanced material on statistical mechanics is introduced, material which students should meet in an undergraduate course. As a result the new edition contains three more chapters on phase transitions at an appropriate level for an undergraduate student. There are plentyof problems at the end of each chapter, and brief model answers are provided for odd-numbered problems. From reviews of the first edition: '...Introductory Statistical Mechanics is clear and crisp and takes advantage of the best parts of the many approaches to the subject' Physics Today

Statistical Physics

Author : Ian Ford
ISBN : 9781118597491
Genre : Science
File Size : 65. 52 MB
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This undergraduate textbook provides a statistical mechanical foundation to the classical laws of thermodynamics via a comprehensive treatment of the basics of classical thermodynamics, equilibrium statistical mechanics, irreversible thermodynamics, and the statistical mechanics of non-equilibrium phenomena. This timely book has a unique focus on the concept of entropy, which is studied starting from the well-known ideal gas law, employing various thermodynamic processes, example systems and interpretations to expose its role in the second law of thermodynamics. This modern treatment of statistical physics includes studies of neutron stars, superconductivity and the recently developed fluctuation theorems. It also presents figures and problems in a clear and concise way, aiding the student’s understanding.

The Theory Of Magnetism Made Simple

Author : Daniel Charles Mattis
ISBN : 9812386718
Genre : Science
File Size : 31. 50 MB
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The original edition of The Theory of Magnetism was the first book to develop the various relevant topics using modern methods adapted for the many-body problem and thus it became popular (reportedly the "most-stolen" book from the exhibition stalls at the March meeting of the American Physical Society!). It presented and taught the fermionic field theory central to Onsager's analysis of the statistical mechanics of the two-dimensional Ising model of magnetism. In its pages the Lieb-Mattis theorems on magnetic ordering of electronic energy levels and on the absence of ferromagnetism in one dimension were restated and proved in a form accessible to students. The exchange mechanism in insulators and the Ruderman-Kittel interaction in metals were some of the innovative topics presented to the reader. Spin waves and their interactions were analyzed in some detail. The first chapter, on the history of physics as seen through the prism of research in magnetism, co-authored with Dr Noemi Mattis, proved especially popular. In this new edition, while retaining much of the material in earlier editions, especially the first chapter, the author has eliminated some of the bulk (the most recent edition was in two volumes) and added a number of new subjects. Among these are the effects of lowering the dimensionality (exact solutions of some important models in zero and one dimension are exhibited and contrasted with the three-dimensional versions) and the importance of the two-body Coulomb interactions. The reader is introduced to the topic of critical exponents, which has been so marvellously worked out in recent decades. Quoting a novel theorem by Lieb and exotic band structures, the authorre-examines the origins of ferromagnetism. In the presentation, physical principles come first, the mathematics second. Developing the reader's intuition and mastery of the subject takes precedence. Because of this the book was not

Statistical And Thermal Physics

Author : Harvey Gould
ISBN : 1400837030
Genre : Science
File Size : 42. 81 MB
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This textbook carefully develops the main ideas and techniques of statistical and thermal physics and is intended for upper-level undergraduate courses. The authors each have more than thirty years' experience in teaching, curriculum development, and research in statistical and computational physics. Statistical and Thermal Physics begins with a qualitative discussion of the relation between the macroscopic and microscopic worlds and incorporates computer simulations throughout the book to provide concrete examples of important conceptual ideas. Unlike many contemporary texts on thermal physics, this book presents thermodynamic reasoning as an independent way of thinking about macroscopic systems. Probability concepts and techniques are introduced, including topics that are useful for understanding how probability and statistics are used. Magnetism and the Ising model are considered in greater depth than in most undergraduate texts, and ideal quantum gases are treated within a uniform framework. Advanced chapters on fluids and critical phenomena are appropriate for motivated undergraduates and beginning graduate students. Integrates Monte Carlo and molecular dynamics simulations as well as other numerical techniques throughout the text Provides self-contained introductions to thermodynamics and statistical mechanics Discusses probability concepts and methods in detail Contains ideas and methods from contemporary research Includes advanced chapters that provide a natural bridge to graduate study Features more than 400 problems Programs are open source and available in an executable cross-platform format Solutions manual (available only to teachers)

Quantum Statistical Mechanics

Author : Leo P. Kadanoff
ISBN : 9780429972843
Genre : Science
File Size : 45. 20 MB
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Green's Function Methods in Equilibrium and Nonequilibrium Problems

Statistical Physics

Author : A.M. Guenault
ISBN : 9789401097925
Genre : Science
File Size : 58. 49 MB
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Statistical physics is not a difficult subject, and I trust that this will not be found a difficult book. It contains much that a number of generations of Lancaster students have studied with me, as part of their physics honours degree work. The lecture course was of twenty hours duration, and I have added comparatively little to the lecture syllabus. A pre requisite is that the reader should have a working knowledge of basic thermal physics (i.e. the laws of thermodynamics and their application to simple substances). The book Thermal Physics by Colin Finn in this series forms an ideal introduc tion. Statistical physics has a thousand and one different ways of approaching the same basic results. I have chosen a rather down-to-earth and unsophisticated approach, without I hope totally obscuring the considerable interest of the fun damentals. This enables applications to be introduced at an early stage in the book. As a low-temperature physicist, I have always found a particular interest in statistical physics, and especially in how the absolute zero is approached. I should not, therefore, apologize for the low-temperature bias in the topics which I have selected from the many possibilities.

Statistical Mechanics

Author : Donald Allan McQuarrie
ISBN : 1891389157
Genre : Science
File Size : 42. 41 MB
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A renowned accessible introduction to the subject, this text contains a large number of problems at the end of each chapter to help students understand the material and to introduce them to selected extensions.

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