Rana N, Perlekar P. Coarsening in the two-dimensional incompressible Toner-Tu equation: Signatures of turbulence.
Phys Rev E 2020;
102:032617. [PMID:
33076003 DOI:
10.1103/physreve.102.032617]
[Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/22/2020] [Accepted: 08/31/2020] [Indexed: 11/07/2022]
Abstract
We investigate coarsening dynamics in the two-dimensional, incompressible Toner-Tu equation. We show that coarsening proceeds via vortex merger events, and the dynamics crucially depend on the Reynolds number Re. For low Re, the coarsening process has similarities to Ginzburg-Landau dynamics. On the other hand, for high Re, coarsening shows signatures of turbulence. In particular, we show the presence of an enstrophy cascade from the intervortex separation scale to the dissipation scale.
Collapse