Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems
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Beschreibung
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.
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.
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
Autor*in
Taiki Haga
Themen in »Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems«
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
Stimmen zu »Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems«
“Springer Thesis by Taiki Haga provides us a new phase transition in a disordered system driven by an external force. … Readers of this Springer Thesis can learn the most advanced knowledge on the phase transition out of equilibrium. I am sure that graduate students in theoretical physics as well as researchers can enjoy reading this Springer Thesis.” (zbMATH 1573.82004, 2026)
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