Mitra Dhrubaditya, Pandit Rahul
Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science, Bangalore 560012, India.
Phys Rev Lett. 2004 Jul 9;93(2):024501. doi: 10.1103/PhysRevLett.93.024501. Epub 2004 Jul 6.
We show that different ways of extracting time scales from time-dependent velocity structure functions lead to different dynamic-multiscaling exponents in fluid turbulence. These exponents are related to equal-time multiscaling exponents by different classes of bridge relations, which we derive. We check this explicitly by detailed numerical simulations of the Gledzer-Ohkitani-Yamada shell model for fluid turbulence. Our results can be generalized to any system in which both equal-time and time-dependent structure functions show multiscaling.
我们表明，从随时间变化的速度结构函数中提取时间尺度的不同方法会导致流体湍流中不同的动态多尺度指数。这些指数通过我们推导的不同类别的桥接关系与等时多尺度指数相关。我们通过对用于流体湍流的Gledzer-Ohkitani-Yamada壳模型进行详细的数值模拟来明确验证这一点。我们的结果可以推广到任何等时和随时间变化的结构函数都表现出多尺度的系统。
