Renormalization Group Analysis Of Nonequilibrium Phase Transitions In Driven Disordered Systems
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Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven 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.
Critical Dynamics
Author: Uwe C. Täuber
language: en
Publisher: Cambridge University Press
Release Date: 2014-03-06
A comprehensive and unified introduction to describing and understanding complex interacting systems.
Non-Equilibrium Phase Transitions
Author: Malte Henkel
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-11-27
This book describes two main classes of non-equilibrium phase-transitions: static and dynamics of transitions into an absorbing state, and dynamical scaling in far-from-equilibrium relaxation behavior and ageing.