Application of Integrable Systems to Phase Transitions

• Main Author: Wang, C.B. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Subjects: Mathematics.; Functions, special.; Mathematical Applications in the Physical Sciences.; Special Functions.; Mathematical Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-38565-0

The eigenvalue densities in various matrix models in quantum chromodynamics (QCD) are ultimately unified in this book by a unified model derived from the integrable systems. Many new density models and free energy functions are consequently solved and presented. The phase transition models including...

Table of Contents:

• Introduction
• Densities in Hermitian Matrix Models
• Bifurcation Transitions and Expansions
• Large-N Transitions and Critical Phenomena
• Densities in Unitary Matrix Models
• Transitions in the Unitary Matrix Models
• Marcenko-Pastur Distribution and McKays Law.