Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems

• Κύριος συγγραφέας: Haga, Taiki (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Θέματα: Statistical physics.; Phase transitions (Statistical physics).; Physics.; Statistical Physics and Dynamical Systems.; Phase Transitions and Multiphase Systems.; Mathematical Methods in Physics.

 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. . 

 Introduction -- Functional Renormalization Group of Disordered Systems -- Non-perturbative Renormalization Group -- Dimensional Reduction and Its Breakdown in the Driven Random Field O(N) Model -- Nonequilibrium Kosterlitz-Thouless Transition in the Three-dimensional Driven Random Field XY Model -- Summary and Future Perspectives.