论文标题
缩放或多标准：驱动的非线性模型中的普遍性品种
Scaling or multiscaling: Varieties of universality in a driven nonlinear model
论文作者
论文摘要
对对称性和非线性效应之间的相互作用如何控制耦合驱动系统中的缩放和多刻度特性的物理理解，例如磁流失动力湍流或湍流的二元流体混合物，直到日期一直难以捉摸。为了解决这个通用问题，我们构建了一个概念性的非线性流体动力模型，通过非线性系数共同进行了参数化，并分别构建了临时随机速度和随机添加驱动力的方差的空间缩放。通过使用扰动的单环动态重量级化组方法，我们计算了适当定义的动态变量的相等时间结构函数的多标准指数。我们表明，取决于控制参数，模型可以显示从简单缩放到多刻度的各种通用缩放行为。
Physical understanding of how the interplay between symmetries and nonlinear effects can control the scaling and multiscaling properties in a coupled driven system, such as magnetohydrodynamic turbulence or turbulent binary fluid mixtures, remains elusive till the date. To address this generic issue, we construct a conceptual nonlinear hydrodynamic model, parametrised jointly by the nonlinear coefficients, and the spatial scaling of the variances of the advecting stochastic velocity and the stochastic additive driving force, respectively. By using a perturbative one-loop dynamic renormalisation group method, we calculate the multiscaling exponents of the suitably defined equal-time structure functions of the dynamical variable. We show that depending upon the control parameters the model can display a variety of universal scaling behaviours ranging from simple scaling to multiscaling.
