Net transport and stochastic resonance in an underdamped system due to the application of a traveling-wave force-field. (English) Zbl 1535.34048
Summary: We investigate the effect of a zero-mean longitudinal traveling-wave force-field acting on an underdamped system with no static fixed potential. It is particularly interesting when the damping is periodic in space. A simple physical example of the present theoretical problem could be a plane longitudinal wave propagating in a moderately compressible medium wherein particulate matter is interspersed and ask the question if, in the process, the particulate matter can get transported, on the average, from one end of the medium to the other. We also investigate how the net transport can get affected in the presence of white noise.
MSC:
| 34F05 | Ordinary differential equations and systems with randomness |
| 34F15 | Resonance phenomena for ordinary differential equations involving randomness |
| 37C60 | Nonautonomous smooth dynamical systems |
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
Keywords:
net transport; stochastic resonance; space-dependent friction coefficient; traveling-wave force-field and input energyReferences:
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