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Advanced Statistical Mechanics (Paperback)
Loot Price: R2,449
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Advanced Statistical Mechanics (Paperback)
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Statistical Mechanics is the study of systems where the number of
interacting particles becomes infinite. In the last fifty years
tremendous advances have been made which have required the
invention of entirely new fields of mathematics such as quantum
groups and affine Lie algebras. They have engendered remarkable
discoveries concerning non-linear differential equations and
algebraic geometry, and have produced profound insights in both
condensed matter physics and quantum field theory. Unfortunately,
none of these advances are taught in graduate courses in
statistical mechanics. This book is an attempt to correct this
problem. It begins with theorems on the existence (and lack) of
order for crystals and magnets and with the theory of critical
phenomena, and continues by presenting the methods and results of
fifty years of analytic and computer computations of phase
transitions. It concludes with an extensive presentation of four of
the most important of exactly solved problems: the Ising, 8 vertex,
hard hexagon and chiral Potts models.
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