论文标题
壳模型间歇性是隐藏的自相似性
Shell model intermittency is the hidden self-similarity
论文作者
论文摘要
我们表明，在Sabra壳模型的惯性间隔中观察到的间歇性动力学可能与缩放自相似性的属性严格相关。在这方面，时空缩放对称性（如K41理论中）被新的隐藏缩放对称性所取代，这是在特殊重新缩放的坐标和时间中代表的Inviscisd动力学的确切对称性。我们根据基于自相似统计的线性操作员的perron-frobenius特征值来得出表达异常缩放指数的公式。理论结论通过广泛的数值模拟得到验证。
We show that the intermittent dynamics observed in the inertial interval of Sabra shell model of turbulence can be rigorously related to the property of scaling self-similarity. In this connection, the space-time scaling symmetries (like in the K41 theory) are replaced by the new hidden scaling symmetry, which is an exact symmetry of inviscid dynamics represented in special rescaled coordinates and times. We derive the formulas expressing anomalous scaling exponents in terms of Perron-Frobenius eigenvalues of linear operators based on the self-similar statistics. Theoretical conclusions are verified by extensive numerical simulations.
