Finite dimensional ideal hydrodynamical equations are known to relax to an absolute equilibrium, characterized by a Gibbsian distribution, known as thermalized fluids. While their existence has been known for a while, its importance [1] and the route to thermalization are being studied only recently [2, 3].
Through DNS’s, we show how Galerkin-truncated 3D incompressible Euler equations trigger the inevitable ther-malization [4]. By identifying the source, how thermalization can be effectively reduced to a 1D problem, similar to Burgers [2, 5]. We also discuss how our current understanding can be exploited numerically to the possibility of dissipative solutions. Aptly, with the recent conjectures on the OTOC in many-body quantum systems, regarding thermalized fluid as a many-body classical chaotic Hamiltonian system is extremely relevant [6]. Using decorrelators, we derive and show that in thermalized flows λ ∼ √ T [1], suggesting an underlying universality and providing evidence to the thermal scaling of lyapunov exponent.
Zoom Link: https://icts-res-in.zoom.us/j/81957873763?pwd=T21PT3BFRTdCaldxUEtQL3BBajBKQT09
Meeting ID: 819 5787 3763
Passcode: 202022