论文标题
标量主动物质中疾病诱导的长期相关性
Disorder-Induced Long-Ranged Correlations in Scalar Active Matter
论文作者
论文摘要
我们研究了随机淬灭电位和扭矩对标量活动物质的影响。显微镜模拟表明，运动诱导的相分离被渐近均匀的相替换为二维，具有异常的长度相关性和非呈现的稳态电流。使用现象学模型和现场理论处理的结合，我们显示了较低临界维度的存在，$ d_c = 4 $，在此下方仅观察到小于Imry-MA长度尺度的系统。我们确定了一个弱阶制度，其中结构因子缩放为$ s（q）\ sim 1/q^2 $，它是我们的数字。在$ d = 2 $中，我们预测，在较大的尺度上，行为应该跨越强大的措施。在$ d> 2 $中，这两个制度分别存在，具体取决于潜力的强度。
We study the impact of a random quenched potentials and torques on scalar active matter. Microscopic simulations reveal that motility-induced phase separation is replaced in two-dimensions by an asymptotically homogeneous phase with anomalous long-ranged correlations and non-vanishing steady-state currents. Using a combination of phenomenological models and a field-theoretical treatment, we show the existence of a lower-critical dimension, $d_c=4$, below which phase separation is only observed for systems smaller than an Imry-Ma length-scale. We identify a weak-disorder regime in which the structure factor scales as $S(q) \sim 1/q^2$ which accounts for our numerics. In $d=2$ we predict that, at larger scales, the behaviour should cross over to a strong-disorder regime. In $d>2$, these two regimes exist separately, depending on the strength of the potential.
