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Updated: May 18, 2026
06:51
Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations
Published on: August 21, 2018
Active particles forced by an asymmetric dichotomous angle drive
Christian Weber1, Igor M Sokolov, Lutz Schimansky-Geier
1Institute of Physics, Humboldt University at Berlin, Newtonstraße 15, D-12489 Berlin, Germany.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
Summary
This study analyzes particle motion with correlated noise, finding a nonmonotonic diffusion coefficient. A condition for maximal diffusion is formulated based on noise intensity and correlation time.
Area of Science:
- Statistical physics
- Non-equilibrium systems
- Stochastic processes
Background:
- Particle dynamics are often influenced by complex noise sources.
- Understanding diffusion in systems with correlated noise is crucial for various applications.
Purpose of the Study:
- To analyze two-dimensional particle dynamics with constant speed under telegraph noise and Gaussian white noise.
- To investigate the effective diffusion coefficient's dependence on noise parameters and particle curvature.
Main Methods:
- Stochastic differential equations modeling particle motion.
- Analysis of asymptotic diffusional behavior.
- Derivation of the effective diffusion coefficient.
Main Results:
- The effective diffusion coefficient was derived and analyzed concerning correlation time and noise intensity.
- Nonmonotonic behavior of the diffusion coefficient was observed for particles with a given mean curvature.
- A time scale matching condition for achieving maximal diffusion was established.
Conclusions:
- The interplay between correlated noise and particle geometry significantly impacts diffusion.
- The findings provide insights into optimizing particle transport in complex environments.
- The study highlights the importance of considering noise characteristics for effective diffusion analysis.
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