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

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Introduction,ts that the critical behavior of disordered systems is identical to that of lower dimensional systems without disorder, as well as its limitation. In the second half of this chapter, we review the dynamics of disordered systems driven out of equilibrium. Finally, we explain the purpose of this study.

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Book 2019nal 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 subsequent

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Book 2019imensions. 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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Dimensional Reduction and its Breakdown in the Driven Random Field ,(,) Model,roperty, 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 met

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Nonequilibrium Kosterlitz-Thouless Transition in the Three-Dimensional Driven Random Field XY Modeldimensions. We investigate this remarkable conjecture by using numerical simulations and renormalization group analysis. In the first part of this chapter, we show several results of the numerical simulations of the driven random field XY model. These results suggest that there is a transition betwe