• Corpus ID: 244714305

Testing wave turbulence theory for Gross-Pitaevskii system

  title={Testing wave turbulence theory for Gross-Pitaevskii system},
  author={Yinggu Zhu and Boris Semisalov and Giorgio Krstulovic and Sergey Nazarenko},
Ying Zhu, ∗ Boris Semisalov, 3, 4 Giorgio Krstulovic, and Sergey Nazarenko Université Côte d’Azur, CNRS, Institut de Physique de Nice INPHYNI, Parc Valrose, 06108 Nice, France Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Laboratoire Lagrange, Boulevard de l’Observatoire CS 34229 – F 06304 Nice Cedex 4, France Novosibirsk State University, 1 Pirogova street, 630090 Novosibirsk, Russia Sobolev Institute of Mathematics SB RAS, 4 Academician Koptyug Avenue, 630090 Novosibirsk… 
1 Citations
Feynman rules for wave turbulence
It has long been known that weakly nonlinear field theories can have a late-time stationary state that is not the thermal state, but a wave turbulent state with a far-from-equilibrium cascade of


Wave-turbulence theory of four-wave nonlinear interactions.
Numerical investigations of the two-dimensional nonlinear Schrödinger equation (NLSE) and of a vibrating plate prove the following: Generic Hamiltonian four-wave systems rapidly attain a random distribution of phases independently of the slower dynamics of the amplitudes, vindicating the hypothesis of initially random phases.
Self-similar evolution of Alfven wave turbulence
We study self-similar solutions of the kinetic equation for MHD wave turbulence derived in [1]. Motivated by finding the asymptotic behaviour of solutions for initial value problems, we formulate a
Condensation of classical nonlinear waves.
A thermodynamic description of the classical condensation process by using a wave turbulence theory with ultraviolet cutoff and showing that the nonlinear interaction makes the transition to condensation subcritical.
Noisy spectra, long correlations, and intermittency in wave turbulence.
  • Y. Lvov, S. Nazarenko
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2004
A minimal model based on the random phase approximation (RPA) is used and it is shown that any initial non-Gaussianity at small amplitudes propagates without change toward the high amplitudes at each fixed wave number, however, the probability distribution function becomes Gaussian at large time.
Numerical verification of the random-phase-and-amplitude formalism of weak turbulence.
This work compares the theoretical predictions given by the RPA with the results of direct numerical simulations (DNS) for a three-wave Hamiltonian system, thereby assessing the validity of the R PA.
Nonstationary distributions of wave intensities in wave turbulence
We obtain a general solution for the probability density function (PDF) of wave intensities in non-stationary wave turbulence. The solution is expressed in terms of the initial PDF and the wave
Numerical Verification of the Weak Turbulent Model for Swell Evolution