5 papers
Universal self-similar evolution of two-dimensional acoustic turbulence in Bose-Einstein condensates
Guillaume Costa, Sergey Nazarenko, Giorgio Krstulovic
When driven out of equilibrium, a Bose-Einstein condensate develops nonlinearly interacting density waves that trigger a turbulent cascade, transferring energy toward small scales.…
Stability of stationary solutions in Acoustic wave turbulence
Guillaume Costa, Giorgio Krstulovic, Sergey Nazarenko
We study the stability of steady-state solutions of the Wave-Kinetic Equations for acoustic waves. Combining theoretical analysis and numerical simulations, we characterise the tim…
Numerical investigations around the Gallavotti-Cohen Fluctuation Theorem on Log-lattices
Guillaume Costa, Bérengère Dubrulle
Using the recent concept of fluids projected onto Log-Lattices, we investigate the validity of the Gallavotti-Cohen Fluctuation Theorem (GCFT) in the context of fluid mechanics. Th…
Behind the mirror: the hidden dissipative singular solutions of ideal reversible fluids on log-lattices
Guillaume Costa, Amaury Barral, Adrien Lopez +2
Empirical observations show that turbulence exhibits a broad range of scaling exponents, characterizing how the velocity gradients diverge in the inviscid limit. These exponents ar…
Efficiency of turbulence
A Lopez, A Barral, G Costa +3
We consider the efficiency of turbulence, a dimensionless parameter that characterises the fraction of the input energy stored into a turbulent flow field. We first show that the i…