Hydrodynamic Entropy and Emergence of Order in Two-dimensional Euler Turbulence
arXiv:2210.06445 · doi:10.1103/PhysRevFluids.7.114608
Abstract
Using numerical simulations, we show that the asymptotic states of two-dimensional (2D) Euler turbulence exhibit large-scale flow structures due to nonzero energy transfers among small wavenumber modes. These asymptotic states, which depend on the initial conditions, are out of equilibrium, and they are different from the predictions of Onsager and Kraichnan. We propose ``hydrodynamic entropy'' to quantify order in 2D Euler turbulence; we show that this entropy decreases with time, even though the system is isolated with no dissipation and no contact with a heat bath.
References in corpus (14)
- Statistical Theory of Magnetohydrodynamic Turbulence: Recent Results
- Giant Vortex Clusters in a Two-Dimensional Quantum Fluid
- Effective Dissipation and Turbulence in Spectrally Truncated Euler Flows
- Energy transfer in two-dimensional magnetohydrodynamic turbulence: formalism and numerical results
- Random changes of flow topology in two dimensional and geophysical turbulence
- Onsager-Kraichnan Condensation in Decaying Two-Dimensional Quantum Turbulence
- Optimized Forest-Ruth- and Suzuki-like algorithms for integration of motion in many-body systems
- On the Late-Time Behaviour of a Bounded, Inviscid Two-Dimensional Flow
- Variable energy flux in turbulence
- Chaos and information in two dimensional turbulence
- Asymmetric energy transfers in driven nonequilibrium systems and arrow of time
- Non-equilibrium Statistical Mechanics of Two-dimensional Vortices
- Geometric microcanonical theory of two-dimensional Truncated Euler flows
- Equilibrium states of Burgers and KdV equations