Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-07-19
Physics
Condensed Matter
Statistical Mechanics
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.
Mertens Franz G.
Quintero Niurka R.
Sanchez Angel
No associations
LandOfFree
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.
Profile ID: LFWR-SCP-O-657357