Renormalization group analysis of nonequilibrium phase transitions in driven disordered systems
Haga, Taiki
Renormalization group analysis of nonequilibrium phase transitions in driven disordered systems - Singapore: Springer, 2019. - xiii; 156 p. hb; 24 cm. - Springer theses .
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.
9789811361708
Science- Energy
Science- Mechanics
Science- Physics
Broken Symmetry
Phase Transformations
Statistical Physics and Dynamical Systems
Mathematical Methods in Physics
530.414 HAG
Renormalization group analysis of nonequilibrium phase transitions in driven disordered systems - Singapore: Springer, 2019. - xiii; 156 p. hb; 24 cm. - Springer theses .
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.
9789811361708
Science- Energy
Science- Mechanics
Science- Physics
Broken Symmetry
Phase Transformations
Statistical Physics and Dynamical Systems
Mathematical Methods in Physics
530.414 HAG
