Anomalies of ac driven solitary waves with internal modes: Nonparametric resonances induced by parametric forces

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

To appear in Phys Rev E

Scientific paper

10.1103/PhysRevE.64.046601

We study the dynamics of kinks in the $\phi^4$ model subjected to a parametric ac force, both with and without damping, as a paradigm of solitary waves with internal modes. By using a collective coordinate approach, we find that the parametric force has a non-parametric effect on the kink motion. Specifically, we find that the internal mode leads to a resonance for frequencies of the parametric driving close to its own frequency, in which case the energy of the system grows as well as the width of the kink. These predictions of the collective coordinate theory are verified by numerical simulations of the full partial differential equation. We finally compare this kind of resonance with that obtained for non-parametric ac forces and conclude that the effect of ac drivings on solitary waves with internal modes is exactly the opposite of their character in the partial differential equation.

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

Anomalies of ac driven solitary waves with internal modes: Nonparametric resonances induced by parametric forces 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 Anomalies of ac driven solitary waves with internal modes: Nonparametric resonances induced by parametric forces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anomalies of ac driven solitary waves with internal modes: Nonparametric resonances induced by parametric forces will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-657357

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