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Titlebook: Elementary Lectures in Statistical Mechanics; George D. J. Phillies Textbook 2000 Springer-Verlag New York, Inc. 2000 classical systems.co

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书目名称Elementary Lectures in Statistical Mechanics
编辑George D. J. Phillies
视频video
丛书名称Graduate Texts in Contemporary Physics
图书封面Titlebook: Elementary Lectures in Statistical Mechanics;  George D. J. Phillies Textbook 2000 Springer-Verlag New York, Inc. 2000 classical systems.co
描述This volume is based on courses on Statistical Mechanics which I have taught for many years at the Worcester Polytechnic Institute. My objective is to treat classical statistical mechanics and its modem applications, especially interacting particles, correlation functions, and time-dependent phenomena. My development is based primarily on Gibbs‘s ensemble formulation. Elementary Lectures in Statistical Mechanics is meant as a (relatively sophis­ ticated) undergraduate or (relatively straightforward) graduate text for physics students. It should also be suitable as a graduate text for physical chemistry stu­ dents. Physicists may find my treatment of algebraic manipulation to be more explicit than some other volumes. In my experience some of our colleagues are perhaps a bit over-enthusiastic about the ability or tendency of our students to complete gaps in the derivations. I emphasize a cyclic development of major themes. I could have begun with a fully detailed formal treatment of ensemble mechanics, as found in Gibbs‘s volume, and then given material realizations. I instead interleave formal discussions with simple concrete models. The models illustrate the formal definitions. The
出版日期Textbook 2000
关键词classical systems; correlation; equilibrium properties; mechanics; quantum systems; statistical mechanics
版次1
doihttps://doi.org/10.1007/978-1-4612-1264-5
isbn_softcover978-1-4612-7068-3
isbn_ebook978-1-4612-1264-5Series ISSN 0938-037X
issn_series 0938-037X
copyrightSpringer-Verlag New York, Inc. 2000
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Ensembles: Fundamental Principles of Statistical Mechanics, either time averages or ensemble averages, can be made in a straightforward manner. In contrast, to make a time average via a theoretical calculation on a model requires that one integrates vast numbers of differential equations and that one supplies equally vast numbers of experimentally inaccess
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The One-Atom Ideal Gastical simplicity, this Lecture considers a system which contains only one gas atom, Aside A shows what happens if the system contains two atoms. Lecture 5 extends the treatment to .-atom systems, while Lecture 6 treats atom-wall interactions, thereby obtaining the gas pressure. The calculations repr
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The Two-Atom Ideal Gasween the one-atom ideal gas discussed in Lecture 4, and the .-atom (where . might be similar to Avogadro’s number) ideal gas treated in Lecture 5. In this Aside, I develop the canonical ensemble description of the two-atom ideal gas. I show how the lists of variables and integrals change form as the
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N-Atom Ideal Gasystem of . such atoms. We could have gone directly from Lecture 3 to the calculation below, and skipped Lecture 4 and the Aside. There would have been a pedagogical penalty; our first serious calculation would have involved 6.-dimensional integrals for. Lecture 4 already involved quite enough new id
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How Do Thermometers Work?—The Polythermal Ensembleergy, the mean-square energy and mean-square energy fluctuation, and the import of fluctuations for experimental measurements of ..We then used three separate paths to compute the pressure of an ideal gas, finding that these paths gave the same answer to all questions on which agreement should have
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