Item description for Statistical Mechanics Made Simple: A Guide for Students and Researchers by Daniel C. Mattis...
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.
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 9.5" Width: 6.4" Height: 0.6" Weight: 1 lbs.
Release Date Mar 31, 2003
Publisher World Scientific Publishing Company
ISBN 981238166X ISBN13 9789812381668
Reviews - What do customers think about Statistical Mechanics Made Simple: A Guide for Students and Researchers?
Just to clarify Jun 21, 2006
I consider this book a very readable book, not from a genius, but a good book. The problem with the people who rated it very bad is: They don't know what "statistical mechanics" means. To begin with statistical mechanis surely you have to know thermodynamics and physics. It's usual to study thermodynamics and "Statistical physics" as undergraduates and "Statistical mechanics" as graduates. Its just a nomenclature. But it helps to choose the books. I rated it five starts just to bring the mean a good number of stars... This book has a heavy dispersion :)
Not for beginners Mar 26, 2004
I'm sorry to say it, but the title of this book is misleading. The only way this book would be simple for you is if you have had a moderate class in probability and have had plenty of previous study in thermodynamics and physics. This book is definitely not for beginners.
Not simple at all! Feb 18, 2004
I bought this book after I saw an advertisement in Physics today. While I cannot judge whether it is a good book for people who are already deep into the subject, it is definitely not a book for beginners or intermediates. For the latter I would recommend Chandler or Hill.