Mathematical Physics

Download E-books Advanced Statistical Mechanics (International Series of Monographs on Physics) PDF

By Barry M McCoy

Statistical Mechanics is the research of structures the place the variety of interacting debris turns into limitless. within the final fifty years great advances were made that have required the discovery of completely new fields of arithmetic comparable to quantum teams and affine Lie algebras. they've got engendered amazing discoveries referring to non-linear differential equations and algebraic geometry, and feature produced profound insights in either condensed topic physics and quantum box concept. regrettably, none of those advances are taught in graduate classes in statistical mechanics.

This ebook is an try to right this challenge. It starts off with theorems at the life (and lack) of order for crystals and magnets and with the idea of serious phenomena, and maintains by way of proposing the tools and result of fifty years of analytic and desktop computations of section transitions. It concludes with an intensive presentation of 4 of an important of precisely solved difficulties: the Ising, eight vertex, difficult hexagon and chiral Potts models.

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