Mass fluctuations and diffusion in time-dependent random environments

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

22 pages

Scientific paper

A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large times with a displacement distribution that approaches a Gaussian. The collective dynamics of diffusing particles reaches a statistically stationary state, which is characterized in terms of a fluctuating mass density field. The probability distribution of density is studied numerically for both smooth and non-smooth scale-invariant random environments. A competition between trapping in the regions where the ejection rate of the environment vanishes and mixing due to its temporal dependence leads to large fluctuations of mass. These mechanisms are found to result in the presence of intermediate power-law tails in the probability distribution of the mass density. For spatially differentiable environments, the exponent of the right tail is shown to be universal and equal to -3/2. However, at small values, it is found to depend on the environment. Finally, spatial scaling properties of the mass distribution are investigated. The distribution of the coarse-grained density is shown to posses some rescaling properties that depend on the scale, the amplitude of the ejection rate, and the H\"older exponent of the environment.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Mass fluctuations and diffusion in time-dependent random environments 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 Mass fluctuations and diffusion in time-dependent random environments, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mass fluctuations and diffusion in time-dependent random environments will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-640958

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.