New PDF release: Advanced Statistical Mechanics (The International Series of

By Barry M McCoy

Statistical Mechanics is the learn 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 akin to quantum teams and affine Lie algebras. they've got engendered awesome discoveries pertaining to non-linear differential equations and algebraic geometry, and feature produced profound insights in either condensed subject physics and
quantum box thought. regrettably, none of those advances are taught in graduate classes in statistical mechanics.

This ebook is an try to right this challenge. It starts with theorems at the life (and lack) of order for crystals and magnets and with the speculation of serious phenomena, and keeps via offering the tools and result of fifty years of analytic and laptop 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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