Title: Computation of anomalous scaling exponents of turbulence from self-similar instanton dynamics Show Chinese title

Title: 从自相似瞬时动力学计算湍流的反常标度指数

Abstract: We show that multiscaling properties of developed turbulence in shell models, which lead to anomalous scaling exponents in the inertial range, are determined exclusively by instanton dynamics. Instantons represent correlated extreme events localized in space-time, whose structure is described by self-similar statistics with a single universal scaling exponent. We show that anomalous scaling exponents appear due to the process of instanton creation. A simplified model of instanton creation is suggested, which adequately describes this anomaly. Show Chinese abstract

Abstract: 我们证明了壳模型中发展出的湍流的多标度性质——该性质导致惯性范围内出现异常标度指数——完全由瞬子动力学决定。 瞬子表示空间-时间局部化的相关极端事件，其结构由具有单一普适标度指数的自相似统计描述。 我们表明异常标度指数的出现是由于瞬子产生的过程。 提出了一种简化的瞬子产生模型，该模型充分描述了这一反常现象。