三维不可压缩Toner-Tu方程中的相序、拓扑缺陷和turbulence
Phase ordering, topological defects, and turbulence in the 3D incompressible Toner-Tu equation
摘要:
本文研究了三维不可压缩Toner-Tu方程的相序动力学。我们发现,通过缺陷合并事件和动力学的相序收益是由雷诺数Re。在低Re时,动力学类似于Ginzburg-Landau方程。在高Re下,湍流控制相序。特别是,我们观察到一个前向能量级联从粗化长度尺度的耗散尺度。
英文摘要:
We investigate phase ordering dynamics of the incompressible Toner-Tu equation in three dimensions. We show that the phase ordering proceeds via defect merger events and the dynamics is controlled by the Reynolds number Re. At low Re, the dynamics is similar to that of the Ginzburg-Landau equation. At high Re, turbulence controls phase ordering. In particular, we observe a forward energy cascade from the coarsening length scale to the dissipation scale.
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