论文标题
各向同性湍流惯性范围内的熵，不可逆性和级联
Entropy, irreversibility and cascades in the inertial range of isotropic turbulence
论文作者
论文摘要
本文从统计力学的角度分析了湍流的能量级联，并将尺度范围的能量通量与统计不可逆性和信息 - 进一步产生相关联。通过使用动态模型为子网格应力构建可逆的3D湍流系统，可以测试能量级联的显微镜可逆性。当及时逆转时，该系统会向大尺度发展出一个持续的反向级联反向，这表明惯性能量级联的表征必须考虑逆向政权的可能性。该实验用于研究统计不可逆性的起源和各向同性湍流中直接逆向能量级联反应的率。统计不可逆性是与熵产生相关的相空间中统计组合的属性，它通过考虑能量通量的空间位置及其与流量的局部结构的关系，连接到物理空间中能量级联的动力学。一种解释直接能量转移概率流行率的机制是基于汇率张量的动力学提出的，该动力学被确定为能量级联统计不可逆性的最重要来源。
This paper analyses the turbulent energy cascade from the perspective of statistical mechanics, and relates inter-scale energy fluxes to statistical irreversibility and information-entropy production. The microscopical reversibility of the energy cascade is tested by constructing a reversible 3D turbulent system using a dynamic model for the sub-grid stresses. This system, when reversed in time, develops a sustained inverse cascade towards the large scales, evidencing that the characterisation of the inertial energy cascade must consider the possibility of an inverse regime. This experiment is used to study the origin of statistical irreversibility and the prevalence of direct over inverse energy cascades in isotropic turbulence. Statistical irreversibility, a property of statistical ensembles in phase space related to entropy production, is connected to the dynamics of the energy cascade in physical space by considering the space locality of the energy fluxes and their relation to the local structure of the flow. A mechanism to explain the probabilistic prevalence of direct energy transfer is proposed based the dynamics of the rate-of-strain tensor, which is identified as the most important source of statistical irreversibility in the energy cascade.
