Ratchet behavior in nonlinear Klein-Gordon systems with point-like inhomogeneities
arXiv:cond-mat/0410320 · doi:10.1103/PhysRevE.72.016612
Abstract
We investigate the ratchet dynamics of nonlinear Klein-Gordon kinks in a periodic, asymmetric lattice of point-like inhomogeneities. We explain the underlying rectification mechanism within a collective coordinate framework, which shows that such system behaves as a rocking ratchet for point particles. Careful attention is given to the kink width dynamics and its role in the transport. We also analyze the robustness of our kink rocking ratchet in the presence of noise. We show that the noise activates unidirectional motion in a parameter range where such motion is not observed in the noiseless case. This is subsequently corroborated by the collective variable theory. An explanation for this new phenomenom is given.
References in corpus (11)
- Ratchet-like dynamics of fluxons in annular Josephson junctions driven by bi-harmonic microwave fields
- Quantum ratchet effect for vortices
- Soliton ratchets induced by ac forces with harmonic mixing
- Broken symmetries and directed collective energy transport
- Soliton ratchets
- Spontaneous Ratchet Effect in a Granular Gas
- Internal mode mechanism for collective energy transport in extended systems
- A Biologically Inspired Ratchet Model of Two Coupled Brownian Motors
- Stabilization of ratchet dynamics by weak periodic signals
- Soliton ratchets out of point-like inhomogeneities
- Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations
Cited by in corpus (10)
- Soliton ratchets in homogeneous nonlinear Klein-Gordon systems
- Resonantly driven wobbling kinks
- A refined empirical stability criterion for nonlinear Schroedinger solitons under spatiotemporal forcing
- Optimization of soliton ratchets in inhomogeneous sine-Gordon systems
- Inhomogeneous soliton ratchets under two ac forces
- Non-sinusoidal current and current reversals in a gating ratchet
- On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations
- Collective Coordinates Theory for Discrete Soliton Ratchets in the sine-Gordon Model
- A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS
- Quantum ratchet with Lindblad rate equations