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Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems/ by Taiki Haga.
Author:	Haga, Taiki.
Description:	XIII, 156 p. 38 illus., 27 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Statistical physics. -
Online resource:	https://doi.org/10.1007/978-981-13-6171-5
ISBN:	9789811361715

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. - 1st ed. 2019. - XIII, 156 p. 38 illus., 27 illus. in color.online resource. - Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053. - Springer Theses, Recognizing Outstanding Ph.D. Research,.

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

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

528048
Statistical physics.

LC Class. No.: QC174.7-175.36

Dewey Class. No.: 530.1

Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems
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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.
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