By Barry M McCoy

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

This ebook is an try and right this challenge. It starts off with theorems at the life (and lack) of order for crystals and magnets and with the speculation of serious phenomena, and maintains via proposing the tools and result of fifty years of analytic and desktop computations of part 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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