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Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems

  • Taiki Haga

Part of the Springer Theses book series (Springer Theses)

Table of contents

About this book

Introduction

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. 

Keywords

Disordered Systems Driven Out of Equilibrium Driven Dissipative Systems Nonequilibrium Phase Transitions Functional Renormalization Group Kosterlitz-Thouless Transition Non-perturbative Renormalization Group Nonequilibrium Driven by Quench Disorder

Authors and affiliations

  • Taiki Haga
    • 1
  1. 1.Department of PhysicsKyoto UniversityKyotoJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-6171-5
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-981-13-6170-8
  • Online ISBN 978-981-13-6171-5
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
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