Nonequilibrium quasi-long-range order of a driven random-field O(N) model

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Taiki Haga

Abstract

We investigate three-dimensional O(N) spin models driven with a uniform velocity over a random field. Within a spin-wave approximation, it is shown that in the strong driving regime the model with N=2 exhibits a quasi-long-range order in which the spatial correlation function decays in a power-law form. Furthermore, for the cases that N=2 and 3, we numerically demonstrate a nonequilibrium phase transition between the quasi-long-range order phase and the disordered phase, which turns out to resemble the Kosterlitz-Thouless transition in the two-dimensional pure XY model in equilibrium.

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Citations

Apr 24, 2021·Physical Review Letters·Yuki MinamiYoshimasa Hidaka

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