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Degrees of universality in wave turbulence
Jiasheng Liu, Vladimir Rosenhaus, Gregory Falkovich
Turbulence of weakly interacting waves displays a great deal of universality: independence of the details of the interaction and of the pumping and dissipation scales. Here we stud…
Universal regimes of strong turbulence in the multi-component Gross-Pitaevskii model
Vladimir Rosenhaus, Natalia Vladimirova, Gregory Falkovich
The Gross-Pitaevskii (GP) model, also known as the nonlinear Schrödinger equation, is arguably the most universal model in classical and quantum physics, describing spectrally narr…
Blowup driven by critical balance in a differential kinetic model of gravity wave turbulence
Daniel Schubring, Vladimir Rosenhaus, Simon Thalabard
We describe the blowup scenarios in a phase-parametrized differential approximation kinetic model (N-DAM), inspired by the physics of deep water surface gravity waves and recently…
Beyond the Boltzmann equation for weakly coupled quantum fields
Xu-Yao Hu, Vladimir Rosenhaus
We study the kinetic theory of a weakly interacting quantum field. Assuming a state that is close to homogeneous and stationary, we derive a closed kinetic equation for the rate of…
Weak and strong turbulence in self-focusing and defocusing media
Vladimir Rosenhaus, Gregory Falkovich
While the focusing and defocusing Nonlinear Schrodinger Equations have similar behavior in the weak turbulence regime, they must differ dramatically in the strong turbulence regime…