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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Absolute transverse mobility and ratchet effect on periodic two-dimensional symmetric substrates
C Reichhardt1, C J Olson Reichhardt
1Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
Summary
We model an overdamped particle on a 2D substrate. A longitudinal DC force can induce transverse motion (absolute transverse mobility) and create a ratchet effect without a DC drive.
Area of Science:
- Statistical physics
- Condensed matter physics
- Nonlinear dynamics
Background:
- Particle dynamics on periodic substrates are crucial for understanding phenomena like ion transport and molecular motors.
- External driving forces can lead to complex behaviors, including rectification and directed motion.
Purpose of the Study:
- To investigate the transport properties of an overdamped particle on a 2D symmetric periodic substrate under combined DC and AC driving forces.
- To identify conditions leading to absolute transverse mobility and ratchet effects.
Main Methods:
- Development of a simplified theoretical model for particle motion.
- Analysis of the particle's response to longitudinal DC and AC drives, and transverse AC drives.
- Identification of distinct dynamical regimes.
Main Results:
- A finite longitudinal DC force can result in a net DC response solely in the transverse direction (absolute transverse mobility).
- Regimes exhibiting a ratchet effect were observed even without an applied DC drive.
- The interplay between DC and AC drives dictates the particle's directional movement.
Conclusions:
- The study reveals novel transport phenomena in driven systems on periodic substrates.
- Absolute transverse mobility and DC-free ratchet effects can be engineered through specific driving protocols.
- This work provides insights into directed transport in complex physical systems.
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