Curvature-induced symmetry breaking in nonlinear Schrodinger models

Details Curvature-induced symmetry breaking in nonlinear Schrodinger models Curvature-induced symmetry breaking in nonlinear Schrodinger models

1999-07-14

arxiv.org/abs/patt-sol/9907003v2

Phys. Rev. E 62, R53-R56 (2000).

Nonlinear Sciences

Pattern Formation and Solitons

4 pages (LaTex) with 6 figures (EPS)

Scientific paper

10.1103/PhysRevE.62.R53

We consider a curved chain of nonlinear oscillators and show that the interplay of curvature and nonlinearity leads to a symmetry breaking when an asymmetric stationary state becomes energetically more favorable than a symmetric stationary state. We show that the energy of localized states decreases with increasing curvature, i.e. bending is a trap for nonlinear excitations. A violation of the Vakhitov-Kolokolov stability criterium is found in the case where the instability is due to the softening of the Peierls internal mode.

Affiliated with

Also associated with

No associations

Rating

Curvature-induced symmetry breaking in nonlinear Schrodinger models 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 Curvature-induced symmetry breaking in nonlinear Schrodinger models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curvature-induced symmetry breaking in nonlinear Schrodinger models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-336510