Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems [electronic resource] /
Haga, Taiki.author.
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.
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. .
Statistical physics.
Mathematical physics.
Statistical Physics and Dynamical Systems.
Phase Transitions and Multiphase Systems.
Mathematical Methods in Physics.