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Renormalization group analysis of no...

Haga, Taiki.

Renormalization group analysis of nonequilibrium phase transitions in driven disordered systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Renormalization group analysis of nonequilibrium phase transitions in driven disordered systemsby Taiki Haga.
Author:	Haga, Taiki.
Published:	Singapore :Springer Singapore :2019.
Description:	xiii, 156 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Phase transformations (Statistical physics)
Online resource:	https://doi.org/10.1007/978-981-13-6171-5
ISBN:	9789811361715$q(electronic bk.)

Renormalization group analysis of nonequilibrium phase transitions in driven disordered systems
Haga, Taiki.

Renormalization group analysis of nonequilibrium phase transitions in driven disordered systems[electronic resource] /by Taiki Haga. - Singapore :Springer Singapore :2019. - xiii, 156 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

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.

ISBN: 9789811361715$q(electronic bk.)

Standard No.: 10.1007/978-981-13-6171-5doiSubjects--Topical Terms:

225556
Phase transformations (Statistical physics)

LC Class. No.: QC175.16.P5 / H343 2019

Dewey Class. No.: 530.414

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505 0 $a 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.
520 $a 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.
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