Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems [E-Book] / by Taiki Haga.
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...
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Personal Name(s): | Haga, Taiki, author |
Edition: |
1st edition 2019. |
Imprint: |
Singapore :
Springer,
2019
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Physical Description: |
XIII, 156 pages 38 illustrations, 27 illustrations in color (online resource) |
Note: |
englisch |
ISBN: |
9789811361715 |
DOI: |
10.1007/978-981-13-6171-5 |
Series Title: |
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Subject (LOC): |
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. . |