论文标题
信息 - 热力动力学在湍流级联的信息流程上绑定
Information-Thermodynamic Bound on Information Flow in Turbulent Cascade
论文作者
论文摘要
我们从信息热动力学观点中研究了湍流中信息流的性质。对于通过波动的Navier-Stokes方程描述的完全开发的三维流体湍流，我们证明，大规模涡流的信息与能量级联一起转移到小尺度上。我们在数值上使用壳模型来说明我们的发现，并进一步表明，在惯性范围内，信息流的强度几乎是恒定的，并且可以通过大涡流周转时间来缩放。我们的数值结果还表明，与其他典型信息处理系统（例如麦克斯韦的恶魔）相比，相应的信息热力动力学效率相当低。这些发现提供了关于湍流波动的普遍性和间歇性如何在小规模出现的新观点。
We investigate the nature of information flow in turbulence from an information-thermodynamic viewpoint. For the fully developed three-dimensional fluid turbulence described by the fluctuating Navier-Stokes equation, we prove that information of large-scale eddies is transferred to small scales along with the energy cascade. We numerically illustrate our findings using a shell model and further show that in the inertial range, the intensity of the information flow is nearly constant and can be scaled by the large-eddy turnover time. Our numerical results also suggest that the corresponding information-thermodynamic efficiency is quite low compared to other typical information processing systems such as Maxwell's demon. These findings provide a new perspective on how universality and intermittency of turbulent fluctuations emerge at small scales.
