Titlebook: Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems; Taiki Haga Book 2019 Springer Nature Sing

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Dimensional Reduction and its Breakdown in the Driven Random Field ,(,) Model,rty, which predicts that the critical behavior of the driven disordered system at zero temperature is the same as that of the lower dimensional pure system in equilibrium. However, this dimensional reduction breaks down in low enough dimensions due to a nonperturbative effect associated with meta-st

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2190-5053 tion 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. .978-981-13-6173-9978-981-13-6171-5Series ISSN 2190-5053 Series E-ISSN 2190-5061

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978-981-13-6173-9Springer Nature Singapore Pte Ltd. 2019

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Functional Renormalization Group of Disordered Systems,he renormalized disorder correlator. We explain that its nonanalytic behavior leads to the breakdown of the dimensional reduction. As well-known examples, we derive the one-loop functional renormalization group equations for the random manifold and random field O(N) models, and discuss the properties of their fixed points.

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