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

By Barry M McCoy

Statistical Mechanics is the research 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 solely new fields of arithmetic equivalent to quantum teams and affine Lie algebras. they've got engendered awesome discoveries bearing on non-linear differential equations and algebraic geometry, and feature produced profound insights in either condensed topic physics and
quantum box idea. regrettably, none of those advances are taught in graduate classes in statistical mechanics.

This e-book is an try and right this challenge. It starts with theorems at the lifestyles (and lack) of order for crystals and magnets and with the speculation of severe phenomena, and keeps through providing the equipment and result of fifty years of analytic and laptop computations of part transitions. It concludes with an in depth presentation of 4 of crucial of precisely solved difficulties: the Ising, eight vertex, challenging hexagon and chiral Potts models.

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