Probability densities and preservation of randomness in wave turbulence

Details Probability densities and preservation of randomness in wave turbulence Probability densities and preservation of randomness in wave turbulence

2004-09-26

arxiv.org/abs/math-ph/0409071v1

Physics

Mathematical Physics

Scientific paper

Turbulence closure for the weakly nonlinear stochastic waves requires, besides weak nonlinearity, randomness in both the phases and the amplitudes of the Fourier modes. This randomness, once present initially, must remain over the nonlinear evolution time. Finding out to what extent is this true is the main goal of the present Letter. For this analysis we derive an evolution equation for the full probability density function (PDF) of the wave field. We will show that, for any statistics of the amplitudes, phases tend to stay random if they were random initially. If in addition the initial amplitudes are independent variables they will remain independent in a coarse-grained sense, i.e. when considered in small subsets which are much less than the total set of modes.

Affiliated with

Also associated with

No associations

Rating

Probability densities and preservation of randomness in wave turbulence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Probability densities and preservation of randomness in wave turbulence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Probability densities and preservation of randomness in wave turbulence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-327340