Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems

• Main Author: Haga, Taiki (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Statistical physics.; Phase transitions (Statistical physics).; Physics.; Statistical Physics and Dynamical Systems.; Phase Transitions and Multiphase Systems.; Mathematical Methods in Physics.
• Physical Description: XIII, 156 p. 38 illus., 27 illus. in color. online resource.
• ISBN: 9789811361715
• ISSN: 2190-5053
• DOI: 10.1007/978-981-13-6171-5

This book investigates phase transitions and critical phenomena in disordered systems driven out of equilibrium. First, the author derives a dimensional reduction property that relates the long-distance physics of driven disordered systems to that of lower dimensional pure systems. By combining this property with a modern renormalization group technique, the critical behavior of random field spin models driven at a uniform velocity is subsequently investigated. The highlight of this book is that the driven random field XY model is shown to exhibit the Kosterlitz-Thouless transition in three dimensions. This is the first example of topological phase transitions in which the competition between quenched disorder and nonequilibrium driving plays a crucial role. The book also includes a pedagogical review of a renormalizaion group technique for disordered systems. .