A twist localizes three-dimensional patterns

Details A twist localizes three-dimensional patterns A twist localizes three-dimensional patterns

2000-04-09

arxiv.org/abs/nlin/0004014v2

Nonlinear Sciences

Pattern Formation and Solitons

7 pages, 2 figures, submitted to PRE; minor changes in resubmission

Scientific paper

10.1103/PhysRevE.62.4682

A mechanism for the localization of spatially periodic, self-organized patterns in anisotropic media which requires systems extended in all three spatial dimensions is presented: When the anisotropy axis is twisted the pattern becomes localized in planes parallel to the anisotropy axis. An analytic description of the effect is developed and used to interpret recent experiments in the high-frequency regime of electroconvection by Bohatsch and Stannarius [Phys. Rev. E {\bf 60}, 5591 (1999)]. The localization width is found to be of the order of magnitude of the geometrical average of pattern wavelength and the inverse twist.

Affiliated with

Also associated with

No associations

Rating

A twist localizes three-dimensional patterns 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 A twist localizes three-dimensional patterns, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A twist localizes three-dimensional patterns will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-173033