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Statistical Physics For Optimization and Learning
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Statistical physics an advanced approach with applications pdf
A few months ago, when I was trying to explain some parts of my research to my father, I realized I was assuming he knew what statistical mechanics was, and something about how it worked, when in fact he did not. My first thought was to pass on some popular work about statistical mechanics it's only fair; he did it to me constantly when I was younger. A great many thoughts later I realized I could not think of a single one which didn't stake out some very peculiar philosophical position, or did more than just blab about the second law, never mind something as good as Einstein for Beginners or The First Three Minutes or Does God Play Dice?
Granted that relativity and particles and chaos are sexy, and statistical mechanics is not, it's peculiar that there's nothing. This cries out for a remedy. The undergraduate textbooks on statistical mechanics, like those on most part of physics, are by and large vile.
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Kittel and Kroemer's Thermal Physics is however decent; if you want a quick-and-dirty guide, and can put up with bad typesetting, try M. Bowler's Lectures on Statistical Mechanics. There is nothing analogous to Griffiths's books on electromagnetism, quantum mechanics and particle physics, and if he's got time on his hands Chandler's Introduction to Modern Statistical Mechanics is good, as is Landau and Lifshitz's Statistical Physics ; the latter is far more comprehensive, but the former is much newer, and easier to learn from.
Huang's Statistical Mechanics, one of the other standard texts, is a pedagogic horror. Having finished this venting of spleen, we turn to the usual list. Fischer and J. Bless Donald Knuth for delivering us from type-writen equations! Press, , Joel L. These phenomena are emergent collective properties not discernible in the behavior of individual atoms.
They are given precise and elegant mathematical formulations when the ratio between macroscopic and microscopic scales becomes very large. Landau and E. Lifshitz, Statistical Physics [What I was raised on. To be completely honest, it's been about a decade since I read it, and more since it was my constant companion, and I am a little afraid to re-read it, the same way one is sometimes afraid to re-read favorite novels from long ago, lest they have become worse in the meanwhile