Statistical Mechanics Made Simple

Author : Daniel Charles Mattis
Publisher : World Scientific
ISBN 13 : 9789812381668
Total Pages : 274 pages
Book Rating : 4.6X/5 ( download)

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Download or read book Statistical Mechanics Made Simple written by Daniel Charles Mattis and published by World Scientific. This book was released on 2003 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary concepts in statistics and probability - The ising model and the lattice gas - Elements of thermodynamics - Statistical mechanics - The world of bosons - All about fermions : theories of metals, superconductors, semiconductors - Kinetic theory - The transfer matrix - Some uses of quantum field theory in statistical physics.

Author : Daniel Charles Mattis
Publisher : World Scientific
ISBN 13 : 9812779086
Total Pages : 358 pages
Book Rating : 4.83/5 ( download)

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Download or read book Statistical Mechanics Made Simple written by Daniel Charles Mattis and published by World Scientific. This book was released on 2008 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition extends and improves on the first, illustrating through myriad examples, the principles and logic used in extending the simple laws of idealised Newtonian physics and quantum physics into the real world of noise and thermal fluctuations.

Author : Daniel C Mattis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814365386
Total Pages : 358 pages
Book Rating : 4.83/5 ( download)

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Download or read book Statistical Mechanics Made Simple (2nd Edition) written by Daniel C Mattis and published by World Scientific Publishing Company. This book was released on 2008-03-04 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition extends and improves on the first, already an acclaimed and original treatment of statistical concepts insofar as they impact theoretical physics and form the basis of modern thermodynamics. This book illustrates through myriad examples the principles and logic used in extending the simple laws of idealized Newtonian physics and quantum physics into the real world of noise and thermal fluctuations.In response to the many helpful comments by users of the first edition, important features have been added in this second, new and revised edition. These additions allow a more coherent picture of thermal physics to emerge. Benefiting from the expertise of the new co-author, the present edition includes a detailed exposition — occupying two separate chapters — of the renormalization group and Monte-Carlo numerical techniques, and of their applications to the study of phase transitions. Additional figures have been included throughout, as have new problems. A new Appendix presents fully worked-out solutions to representative problems; these illustrate various methodologies that are peculiar to physics at finite temperatures, that is, to statistical physics.This new edition incorporates important aspects of many-body theory and of phase transitions. It should better serve the contemporary student, while offering to the instructor a wider selection of topics from which to craft lectures on topics ranging from thermodynamics and random matrices to thermodynamic Green functions and critical exponents, from the propagation of sound in solids and fluids to the nature of quasiparticles in quantum liquids and in transfer matrices.

Author : Phil Attard
Publisher : Academic Press
ISBN 13 : 9780120663217
Total Pages : 444 pages
Book Rating : 4.1X/5 ( download)

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Download or read book Thermodynamics and Statistical Mechanics written by Phil Attard and published by Academic Press. This book was released on 2002-07-24 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Isolated systems and thermal equilibrium -- Various reservoirs -- Probability and the general formalism -- Classical statistical mechanics -- Ideal systems -- Interacting particles -- Diagrammatic and functional expansions -- Pair functions -- Functional and perturbation theory -- Inhomogeneous systems -- Coulomb systems -- Computer simulations.

Author : R.K. Pathria
Publisher : Elsevier
ISBN 13 : 1483186881
Total Pages : 542 pages
Book Rating : 4.87/5 ( download)

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Download or read book Statistical Mechanics written by R.K. Pathria and published by Elsevier. This book was released on 2017-02-21 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Mechanics discusses the fundamental concepts involved in understanding the physical properties of matter in bulk on the basis of the dynamical behavior of its microscopic constituents. The book emphasizes the equilibrium states of physical systems. The text first details the statistical basis of thermodynamics, and then proceeds to discussing the elements of ensemble theory. The next two chapters cover the canonical and grand canonical ensemble. Chapter 5 deals with the formulation of quantum statistics, while Chapter 6 talks about the theory of simple gases. Chapters 7 and 8 examine the ideal Bose and Fermi systems. In the next three chapters, the book covers the statistical mechanics of interacting systems, which includes the method of cluster expansions, pseudopotentials, and quantized fields. Chapter 12 discusses the theory of phase transitions, while Chapter 13 discusses fluctuations. The book will be of great use to researchers and practitioners from wide array of disciplines, such as physics, chemistry, and engineering.

Author : Daniel C Mattis
Publisher : World Scientific Publishing Company
ISBN 13 : 9813106050
Total Pages : 268 pages
Book Rating : 4.55/5 ( download)

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Download or read book Statistical Mechanics Made Simple written by Daniel C Mattis and published by World Scientific Publishing Company. This book was released on 2003-04-08 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an elaboration of the author's lecture notes in a graduate course in statistical physics and thermodynamics, augmented by some material suitable for self-teaching as well as for undergraduate study. The first 4 or 5 chapters are suitable for an undergraduate course for engineers and physicists in Thermodynamics and Statistical Physics and include detailed study of the various ensembles and their connections to applied thermodynamics. The Debye law of specific heats and reasons for deviations from the Debye formulas are covered, as are the Einstein theories of Brownian motion, black-body radiation and specific heat of solids. Van der Waals gases and the reason for the apparent failure of his Law of Corresponding States are discussed. The last 5 chapters treat topics of recent interest to researchers, including: the Ising and Potts models, spin waves in ferromagnetic and anti-ferromagnetic media, sound propagation in non-ideal gases and the decay of sound waves, introduction to the understanding of glasses and spin glasses, superfluidity and superconductivity. The selection of material is wide-ranging and the mathematics for handling it completely self-contained, ranging from counting (probability theory) to quantum field theory as used in the study of fermions, bosons and as an adjunct in the solutions of the equations of classical diffusion-reaction theory. In addition to the standard material found in most recent books on statistical physics the constellation of topics covered in this text includes numerous original items: • Generalization of “negative temperature” to interacting spins • Derivation of Gibbs' factor from first principles • Exact free energy of interacting particles in 1D (e.g., classical and quantum Tonk's gas) • Introduction to virial expansions, Equations of State, Correlation Functions and “critical exponents” • Superfluidity in ideal and non-ideal fluids (both Bogolubov and Feynman theories) • Superconductivity: thermodynamical approach and the BCS theory • Derivation of “Central Limit Theorem” and its applications • Boltzmann's “H-Theorem” and the nonlinear Boltzmann equation • Exact solution of nonlinear Boltzmann Equation for electrons in time-dependent electric field and the derivation of Joule heating, transport parameters in crossed electric and magnetic fields, etc. • Frequency spectrum and decay of sound waves in gases • Exact evaluation of free energy and thermodynamic properties of the two-dimensional Ising model in regular and fully frustrated (spin-glass like) lattices • The “zipper” model of crystal fracture or polymer coagulation — calculation of Tc • Potts model in 2D: duality and Tc • “Doi's theory” of diffusion-limited chemical reactions with some exact results — including the evaluation of statistical fluctuations in radioactive decay • Thermodynamic Green Functions and their applications to fermions and bosons with an example drawn from random matrix theory and much more.

Author : E. Atlee Jackson
Publisher : Courier Corporation
ISBN 13 : 0486149390
Total Pages : 272 pages
Book Rating : 4.94/5 ( download)

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Download or read book Equilibrium Statistical Mechanics written by E. Atlee Jackson and published by Courier Corporation. This book was released on 2012-11-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key features include an elementary introduction to probability, distribution functions, and uncertainty; a review of the concept and significance of energy; and various models of physical systems. 1968 edition.

Author : Daniel C. Mattis
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.84/5 ( download)

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Download or read book Statistical Mechanics Made Easy written by Daniel C. Mattis and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. This book is an elaboration of the author's lecture notes in a graduate course in thermodynamics and statistical mechanics. The original notes supplemented topics lacking in traditional texts. In its present augmented version the book may be used as the sole or primary text in a one-semester course in thermodynamics/statistical mechanics or as an adjunct text in a two-semester course. Statistical mechanics is the application of physics or chemistry at finite temperature T and can encompass as many topics involving these disciplines as one wishes. As much as the quality of presentation, it is the choice of topics that distinguishes from one another the scores of textbooks with the word "statistical" or "statistics" in the title. The present book is intended to respond to the curiosity of the reader about fundamental principles. It shows in detail how one solves the problems that arise in connection with these principles. There are some 50 problems scattered throughout the text and a similar number of illustrations. All the mathematics is self-contained, including the development of field-theoretic methods in the later, more difficult, chapters. The emphasis is not just on the topics, but on the mathematics used to understand them and on the methods of solution. The book starts by answering the following questions: Where does thermodynamics "come from"? What is temperature and how might one achieve negative temperatures (metastable states) for interacting spins? What are the various free energies and how do they differ? What is an equation of state and what is the nature of thermodynamic phase transitions? Why does the modern theory of critical-point phenomena disagree with van derWaals' original Law of Corresponding States?The book also includes a number of nonstandard topics, such as the exact construction of the thermodynamic properties in one-dimensional systems and the generalization to "transfe.

Author : Luca Peliti
Publisher : Princeton University Press
ISBN 13 : 0691145296
Total Pages : 418 pages
Book Rating : 4.97/5 ( download)

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Download or read book Statistical Mechanics in a Nutshell written by Luca Peliti and published by Princeton University Press. This book was released on 2011-08-28 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to statistical mechanics Statistical mechanics is one of the most exciting areas of physics today, and it also has applications to subjects as diverse as economics, social behavior, algorithmic theory, and evolutionary biology. Statistical Mechanics in a Nutshell offers the most concise, self-contained introduction to this rapidly developing field. Requiring only a background in elementary calculus and elementary mechanics, this book starts with the basics, introduces the most important developments in classical statistical mechanics over the last thirty years, and guides readers to the very threshold of today's cutting-edge research. Statistical Mechanics in a Nutshell zeroes in on the most relevant and promising advances in the field, including the theory of phase transitions, generalized Brownian motion and stochastic dynamics, the methods underlying Monte Carlo simulations, complex systems—and much, much more. The essential resource on the subject, this book is the most up-to-date and accessible introduction available for graduate students and advanced undergraduates seeking a succinct primer on the core ideas of statistical mechanics. Provides the most concise, self-contained introduction to statistical mechanics Focuses on the most promising advances, not complicated calculations Requires only elementary calculus and elementary mechanics Guides readers from the basics to the threshold of modern research Highlights the broad scope of applications of statistical mechanics

Author : Carolyn M. Van Vliet
Publisher : World Scientific
ISBN 13 : 9812704779
Total Pages : 987 pages
Book Rating : 4.71/5 ( download)

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Download or read book Equilibrium and Non-equilibrium Statistical Mechanics written by Carolyn M. Van Vliet and published by World Scientific. This book was released on 2008 with total page 987 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book encompasses our current understanding of the ensemble approach to many-body physics, phase transitions and other thermal phenomena, as well as the quantum foundations of linear response theory, kinetic equations and stochastic processes. It is destined to be a standard text for graduate students, but it will also serve the specialist-researcher in this fascinating field; some more elementary topics have been included in order to make the book self-contained.The historical methods of J Willard Gibbs and Ludwig Boltzmann, applied to the quantum description rather than phase space, are featured. The tools for computations in the microcanonical, canonical and grand-canonical ensembles are carefully developed and then applied to a variety of classical and standard quantum situations. After the language of second quantization has been introduced, strongly interacting systems, such as quantum liquids, superfluids and superconductivity, are treated in detail. For the connoisseur, there is a section on diagrammatic methods and applications.In the second part dealing with non-equilibrium processes, the emphasis is on the quantum foundations of Markovian behaviour and irreversibility via the Pauli-Van Hove master equation. Justifiable linear response expressions and the quantum-Boltzmann approach are discussed and applied to various condensed matter problems. From this basis the Onsager-Casimir relations are derived, together with the mesoscopic master equation, the Langevin equation and the Fokker-Planck truncation procedure. Brownian motion and modern stochastic problems such as fluctuations in optical signals and radiation fields briefly make the round.