Overview
- Nominated as an outstanding PhD thesis by the Department of Physics at Kyoto University
- Presents for the first time a novel type of topological phase transition in disordered systems
- Explores the development of a renormalization group technique for driven disordered systems
Part of the book series: Springer Theses (Springer Theses)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (6 chapters)
-
Front Matter
Keywords
About this book
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.
Authors and Affiliations
About the author
Taiki Haga is a researcher at the Department of Physics, Kyoto University with a primary focus on non-equilibrium statistical mechanics. He received his Bachelor of Science from Tohoku University in 2013, and his Master and Doctor of Science from Kyoto University in 2015 and 2018, respectively. He was awarded a Research Fellowship for Young Scientists (DC1) by the Japan Society for the Promotion of Science (JSPS) and his research was supported by the JSPS from 2015 to 2018.
Bibliographic Information
Book Title: Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems
Authors: Taiki Haga
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-981-13-6171-5
Publisher: Springer Singapore
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2019
Hardcover ISBN: 978-981-13-6170-8Published: 05 February 2019
Softcover ISBN: 978-981-13-6173-9Published: 14 August 2020
eBook ISBN: 978-981-13-6171-5Published: 24 January 2019
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XIII, 156
Number of Illustrations: 11 b/w illustrations, 27 illustrations in colour
Topics: Statistical Physics and Dynamical Systems, Phase Transitions and Multiphase Systems, Mathematical Methods in Physics