Two-dimensional turbulence with local interactions: statistics of the condensate
arXiv:2305.01574 · doi:10.1103/PhysRevLett.131.224003
Abstract
Two-dimensional turbulence self-organizes through a process of energy accumulation at large scales, forming a coherent flow termed a condensate. We study the condensate in a model with local dynamics, the large-scale quasi-geostrophic equation, observed here for the first time. We obtain analytical results for the mean flow and the two-point, second-order correlation functions, and validate them numerically. The condensate state requires parity+time-reversal symmetry breaking. We demonstrate distinct universal mechanisms for the even and odd correlators under this symmetry. We find that the model locality is imprinted in the small scale dynamics, which the condensate spatially confines.
arXiv comment5 pages, 3 figures
References in corpus (13)
- Dedalus: A Flexible Framework for Numerical Simulations with Spectral Methods
- Growing condensate in two-dimensional turbulence
- Random changes of flow topology in two dimensional and geophysical turbulence
- Direct Statistical Simulation of Out-of-Equilibrium Jets
- Universal profile of the vortex condensate in two-dimensional turbulence
- Structure of coherent vortices generated by the inverse cascade of two-dimensional turbulence in a finite box
- Turbulence statistics in a 2D vortex condensate
- Jets or vortices - what flows are generated by an inverse turbulent cascade?
- Recent Developments in Theories of Inhomogeneous and Anisotropic Turbulence
- The culmination of an inverse cascade: mean flow and fluctuations
- Theoretical prediction of Reynolds stresses and velocity profiles for barotropic turbulent jets
- Universal Velocity Profile for Coherent Vortices in Two-Dimensional Turbulence
- Statistics of inhomogeneous turbulence in large scale quasi-geostrophic dynamics