标题： 相互作用随机行走者的模型中的扩散级联 显示英文标题

标题： Diffusion cascade in a model of interacting random walkers

摘要： 我们考虑在促进的经典晶格气体中有限波矢密度波的弛豫。线性流体力学预测这种扰动应该呈指数方式弛豫，但非线性效应被预测会导致通过非微扰长时间尾部的次指数弛豫。我们对这一效应进行了详细的数值研究。虽然我们的结果明确表明了非线性效应的重要性，但我们发现晚期弛豫的波矢依赖性明显与理论预测不一致。我们讨论了在介观样品和短时间内的流体力学非线性表现。 显示英文摘要

摘要： We consider the relaxation of finite-wavevector density waves in a facilitated classical lattice gas. Linear hydrodynamics predicts that such perturbations should relax exponentially, but nonlinear effects were predicted to cause subexponential relaxation via nonperturbative long-time tails. We present a detailed numerical study of this effect. While our results clearly indicate the importance of nonlinear effects, we find that the wavevector-dependence of the late-time relaxation is clearly inconsistent with theoretical predictions. We discuss manifestations of hydrodynamic nonlinearities in mesoscopic samples and at short times.