Introduction to Modern Statistical Mechanics PDF Download
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Author: David Chandler
Publisher: Oxford University Press, USA
ISBN: 9780195042764
Category : Technology & Engineering
Languages : en
Pages : 274
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Book Description
Lectures on elementary statistical mechanics, taught at the University of Illinois and at the University of Pennsylvania.
Author: David Chandler
Publisher: Oxford University Press, USA
ISBN: 9780195042764
Category : Technology & Engineering
Languages : en
Pages : 274
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Book Description
Lectures on elementary statistical mechanics, taught at the University of Illinois and at the University of Pennsylvania.
Author: Robert H. Swendsen
Publisher: OUP Oxford
ISBN: 0191627461
Category : Science
Languages : en
Pages : 422
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Book Description
This text presents the two complementary aspects of thermal physics as an integrated theory of the properties of matter. Conceptual understanding is promoted by thorough development of basic concepts. In contrast to many texts, statistical mechanics, including discussion of the required probability theory, is presented first. This provides a statistical foundation for the concept of entropy, which is central to thermal physics. A unique feature of the book is the development of entropy based on Boltzmann's 1877 definition; this avoids contradictions or ad hoc corrections found in other texts. Detailed fundamentals provide a natural grounding for advanced topics, such as black-body radiation and quantum gases. An extensive set of problems (solutions are available for lecturers through the OUP website), many including explicit computations, advance the core content by probing essential concepts. The text is designed for a two-semester undergraduate course but can be adapted for one-semester courses emphasizing either aspect of thermal physics. It is also suitable for graduate study.
Author: Sacha Friedli
Publisher: Cambridge University Press
ISBN: 1107184827
Category : Mathematics
Languages : en
Pages : 643
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Book Description
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Author: Luca Peliti
Publisher: Princeton University Press
ISBN: 0691248451
Category : Science
Languages : en
Pages : 577
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Book Description
The essential introduction to modern statistical mechanics—now completely updated and expanded Statistical mechanics is one of the most exciting areas of physics today and has applications to subjects ranging from economics and social behavior to algorithmic theory and evolutionary biology. Statistical Mechanics in a Nutshell provides a self-contained introduction to this rapidly developing field. Starting with the basics of kinetic theory and requiring only a background in elementary calculus and mechanics, this concise book discusses the most important developments of recent decades and guides readers to the very threshold of today’s cutting-edge research. Features a new chapter on stochastic thermodynamics with an introduction to the thermodynamics of information—the first treatment of its kind in an introductory textbook Offers a more detailed account of numerical simulations, including simulated annealing and other accelerated Monte Carlo methods The chapter on complex systems now features an accessible introduction to the replica theory of spin glasses and the Hopfield theory of neural networks, with an emphasis on applications Provides a new discussion of defect-mediated transitions and their implications for two-dimensional melting An invaluable resource for graduate students and advanced undergraduates seeking a compact primer on the core ideas of statistical mechanics Solutions manual (available only to instructors)
Author: Carl S. Helrich
Publisher: Springer Science & Business Media
ISBN: 3540854177
Category : Science
Languages : en
Pages : 403
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Book Description
Thermodynamics is not the oldest of sciences. Mechanics can make that claim. Thermodynamicsisaproductofsomeofthegreatestscienti?cmindsofthe19thand 20th centuries. But it is suf?ciently established that most authors of new textbooks in thermodynamics ?nd it necessary to justify their writing of yet another textbook. I ?nd this an unnecessary exercise because of the centrality of thermodynamics as a science in physics, chemistry, biology, and medicine. I do acknowledge, however, that instruction in thermodynamics often leaves the student in a confused state. My attempt in this book is to present thermodynamics in as simple and as uni?ed a form as possible. As teachers we identify the failures of our own teachers and attempt to correct them. Although I personally acknowledge with a deep gratitude the appreciation for thermodynamics that I found as an undergraduate, I also realize that my teachers did not convey to me the sweeping grandeur of thermodynamics. Speci?cally the s- plicity and the power that James Clerk Maxwell found in the methods of Gibbs were not part of my undergraduate experience. Unfortunately some modern authors also seem to miss this central theme, choosing instead to introduce the thermodynamic potentials as only useful functions at various points in the development.
Author: Donald A. McQuarrie
Publisher: Sterling Publishing Company
ISBN: 9781891389153
Category : Science
Languages : en
Pages : 662
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Book Description
The canonical ensemble - Other ensembles and fluctuations - Boltzmann statistics, fermi-dirac statistics, and bose-einstein statistics - Ideal monatomic gas - Ideal diatomic - Classical statistical mechanics - Ideal polyatomic - Chemical equilibrium - Quantum statistics - Crystals - Imperfect gases - Distribution functions in classical monatomic liquids - Perturbation theories of liquids - Solutions of strong electrolytes - Kinetic theory of gases and molecular collisions - Continuum mechanics - Kinetic theory of-gases and the boltzmann equation - Transport processes in dilute gases - Theory of brownian motion - The time-correlation function formalism.
Author: Silvio Salinas
Publisher: Springer Science & Business Media
ISBN: 9780387951195
Category : Science
Languages : en
Pages : 400
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Book Description
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.
Author: Robert Adolʹfovich Minlos
Publisher: American Mathematical Soc.
ISBN: 0821813374
Category : Mathematics
Languages : en
Pages : 114
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Book Description
This book presents a mathematically rigorous approach to the main ideas and phenomena of statistical physics. The introduction addresses the physical motivation, focusing on the basic concept of modern statistical physics, that is the notion of Gibbsian random fields. Properties of Gibbsian fields are analysed in two ranges of physical parameters: "regular" (corresponding to high-temperature and low-density regimes) where no phase transition is exhibited, and "singular" (low temperature regimes) where such transitions occur. Next, a detailed approach to the analysis of the phenomena of phase transitions of the first kind, the Pirogov-Sinai theory, is presented. The author discusses this theory in a general way and illustrates it with the example of a lattice gas with three types of particles. The conclusion gives a brief review of recent developments arising from this theory. The volume is written for the beginner, yet advanced students will benefit from it as well. The book will serve nicely as a supplementary textbook for course study. The prerequisites are an elementary knowledge of mechanics, probability theory and functional analysis.
Author: Terrell L. Hill
Publisher: Courier Corporation
ISBN: 0486130908
Category : Science
Languages : en
Pages : 546
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Book Description
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.
Author: Daijiro Yoshioka
Publisher: Springer Science & Business Media
ISBN: 3540286063
Category : Science
Languages : en
Pages : 206
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Book Description
This book provides a comprehensive presentation of the basics of statistical physics. The first part explains the essence of statistical physics and how it provides a bridge between microscopic and macroscopic phenomena, allowing one to derive quantities such as entropy. Here the author avoids going into details such as Liouville’s theorem or the ergodic theorem, which are difficult for beginners and unnecessary for the actual application of the statistical mechanics. In the second part, statistical mechanics is applied to various systems which, although they look different, share the same mathematical structure. In this way readers can deepen their understanding of statistical physics. The book also features applications to quantum dynamics, thermodynamics, the Ising model and the statistical dynamics of free spins.
