Mathematical Physics

Download Advanced Statistical Mechanics (The International Series of by Barry M McCoy PDF

By Barry M McCoy

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

This ebook is an try and right this challenge. It starts with theorems at the life (and lack) of order for crystals and magnets and with the idea of serious phenomena, and maintains through offering the equipment and result of fifty years of analytic and computing device computations of part transitions. It concludes with an in depth presentation of 4 of an important of precisely solved difficulties: the Ising, eight vertex, difficult hexagon and chiral Potts models.

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