Noise and dynamical pattern selection

Details Noise and dynamical pattern selection Noise and dynamical pattern selection

1995-11-27

arxiv.org/abs/patt-sol/9511002v1

Nonlinear Sciences

Pattern Formation and Solitons

12 pages, REVTEX, no figures. Submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.77.63

In pattern forming systems such as Rayleigh-Benard convection or directional solidification, a large number of linearly stable, patterned steady states exist when the basic, simple steady state is unstable. Which of these steady states will be realized in a given experiment appears to depend on unobservable details of the system's initial conditions. We show, however, that weak, Gaussian white noise drives such a system toward a preferred wave number which depends only on the system parameters and is independent of initial conditions. We give a prescription for calculating this wave number, analytically near the onset of instability and numerically otherwise.

Affiliated with

Also associated with

No associations

Rating

Noise and dynamical pattern selection 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 Noise and dynamical pattern selection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noise and dynamical pattern selection will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-632777