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.

Show description

Read Online or Download Advanced Statistical Mechanics (The International Series of Monographs on Physics) PDF

Best mathematical physics books

Supergravity

Supergravity, including string concept, is likely one of the most important advancements in theoretical physics. Written by means of of the main revered employees within the box, this can be the first-ever authoritative and systematic account of supergravity. The ebook begins through reviewing elements of relativistic box conception in Minkowski spacetime.

Localization in Periodic Potentials: From Schrödinger Operators to the Gross–Pitaevskii Equation (London Mathematical Society Lecture Note Series)

This ebook offers a accomplished remedy of the Gross–Pitaevskii equation with a periodic power; specifically, the localized modes supported by means of the periodic capability. It takes the mean-field version of the Bose–Einstein condensation because the start line of study and addresses the lifestyles and balance of localized modes.

Gravitation und Relativität: Eine Einführung in die Allgemeine Relativitätstheorie (De Gruyter Studium) (German Edition)

Die Relativitätstheorie gehört zu den bekanntesten Theorien der Physik. Auch wenn ihre unmittelbaren Auswirkungen auf unser tägliches Leben praktisch vernachlässigbar sind, geht von ihr dennoch eine große Faszination aus. Das vorliegende Buch bahnt physikalisch interessierten Lesern mit grundlegenden Kenntnissen der höheren Mathematik einen anschaulichen und nachvollziehbaren Weg zum Verständnis der Relativitätstheorie.

Strain Gradient Plasticity-Based Modeling of Damage and Fracture (Springer Theses)

This booklet offers a complete creation to numerical modeling of measurement results in steel plasticity. the most periods of pressure gradient plasticity formulations are defined and successfully carried out within the context of the finite aspect approach. a powerful numerical framework is gifted and hired to enquire the position of pressure gradients on structural integrity evaluate.

Extra info for Advanced Statistical Mechanics (The International Series of Monographs on Physics)

Sample text

Download PDF sample

Rated 4.14 of 5 – based on 39 votes