Topics in statistical mechanics [electronic resource] : 2 Edition / Brian Cowan, University of London, UK.
By: Cowan, B. P.
Material type: BookSeries: Advanced textbooks in physics.Publisher: Singapore : World Scientific, [2021]Edition: Second edition.Description: 1 online resource (452 p.).ISBN: 9781786349798; 1786349795.Subject(s): Statistical mechanics | Statistical mechanicsGenre/Form: Electronic books.DDC classification: 530.13 Online resources: Access to full text is restricted to subscribers.Includes bibliographical references and index.
The methodology of statistical mechanics -- Practical calculations with ideal systems -- Non-ideal gases -- Phase transitions -- Fluctuations and dynamics Appendices. The Gibbs-Duhem relation -- Thermodynamic potentials -- Mathematica notebooks -- Evaluation of the correlation function integral -- BoseEinstein and FermiDirac distribution functions.
"Building on the material learned by students in their first few years of study, Topics on Statistical Mechanics (Second Edition) presents an advanced level course on statistical and thermal physics. It begins with a review of the formal structure of statistical mechanics and thermodynamics considered from a unified viewpoint. There is a brief revision of non-interacting systems, including quantum gases and a discussion of negative temperatures. Following this, emphasis is on interacting systems. First, weakly interacting systems are considered, where the interest is in seeing how small interactions cause small deviations from the non-interacting case. Second, systems are examined where interactions lead to drastic changes, namely phase transitions. A number of specific examples is given, and these are unified within the Landau theory of phase transitions. The final chapter of the book looks at non-equilibrium systems, in particular the way they evolve towards equilibrium. This is framed within the context of linear response theory. Here fluctuations play a vital role, as is formalized in the Fluctuation-Dissipation theorem. The second edition has been revised particularly to help students use this book for self-study. In addition, the section on non-ideal gases has been expanded, with a treatment of the hard sphere gas, and an accessible discussion of interacting quantum gases. In many cases there are details of Mathematica calculations, including Mathematica Notebooks, and expression of some results in terms of Special Functions"-- Provided by publisher.
Mode of access: World Wide Web.
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