Haga Taiki
Department of Physics, Kyoto University, Kyoto 606-8502, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062113. doi: 10.1103/PhysRevE.92.062113. Epub 2015 Dec 7.
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.
我们研究了在随机场上以均匀速度驱动的三维(O(N))自旋模型。在自旋波近似下，结果表明，在强驱动区域，(N = 2)的模型呈现出准长程有序，其中空间关联函数以幂律形式衰减。此外，对于(N = 2)和(3)的情况，我们通过数值方法证明了准长程有序相和无序相之间的非平衡相变，结果发现它类似于二维纯(XY)模型在平衡态下的Kosterlitz-Thouless相变。
