Non-equilibrium quasi-long-range order of driven random field O(N) model

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 non-equilibrium 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.

9pages, 8figures

References in corpus (2)

• Nematic-Isotropic Transition with Quenched Disorder
• Shear-induced criticality near a liquid-solid transition of colloidal suspensions

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