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Soliton ratchets in homogeneous nonlinear Klein-Gordon systems
Luis Morales-Molina1, Niurka R Quintero, Angel Sánchez
1Max-Planck Institut für Physik Komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany. lmolina@mpipks-dresden.mpg.de
Chaos (Woodbury, N.Y.)
|April 8, 2006
Summary
Topological solitons exhibit ratchetlike motion in nonlinear Klein-Gordon systems when driven by biharmonic forces. Breaking time-shift and time-reversal symmetries is crucial for directed soliton movement and resonance phenomena.
Area of Science:
- Nonlinear dynamics
- Condensed matter physics
- Soliton physics
Background:
- Topological solitons are particle-like solutions in nonlinear systems.
- Nonlinear Klein-Gordon systems are fundamental models in physics.
- Biharmonic driving forces can induce complex system behaviors.
Purpose of the Study:
- To investigate the ratchetlike dynamics of topological solitons.
- To understand the role of biharmonic driving forces and symmetry breaking.
- To analyze the influence of dissipation on soliton motion.
Main Methods:
- Collective coordinate approach with two degrees of freedom (soliton center and width).
- Analytical calculations of soliton velocity and resonance conditions.
- Numerical simulations of sine-Gordon and phi4 equations.
Main Results:
- Inhomogeneous energy pumping leads to directed soliton motion.
- Resonance occurs when soliton width oscillates with driving force frequencies.
- Time-reversal symmetry breaking is necessary for soliton ratchets.
- Dissipation effects, including current reversal, were analyzed.
- Phases of the ac force play a significant role in soliton behavior.
Conclusions:
- The study elucidates the mechanisms behind topological soliton ratchets.
- Results align with experimental observations of dissipation-induced symmetry breaking.
- The findings offer insights into controlling soliton dynamics in driven nonlinear systems.
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