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An Introduction to Statistical Mechanics and Thermodynamics$
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Robert H. Swendsen

Print publication date: 2012

Print ISBN-13: 9780199646944

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199646944.001.0001

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Phase Transitions and the Ising Model

Phase Transitions and the Ising Model

(p.368) 30 Phase Transitions and the Ising Model
An Introduction to Statistical Mechanics and Thermodynamics

Robert H. Swendsen

Oxford University Press

The Ising model provides an extremely useful example for the investigation of phase transitions. This chapter provides both an introduction to the properties of the Ising model and an overview of the complex phenomena exhibited at phase transitions in general. The one-dimensional model is solved exactly using transfer matrices. Models in higher dimensions are treated in the mean field approximation.

Keywords:   Ising model, phase transitions, one-dimensional solutions, mean field approximation, transfer matrices

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