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Controlling chaotic transport in two-dimensional periodic potentials.

R Chacón¹, A M Lacasta

¹Departamento de Física Aplicada, Escuela de Ingenierías Industriales, Universidad de Extremadura, Apartado Postal 382, E-06071 Badajoz, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|January 15, 2011

Summary

Researchers explored chaotic particle transport in 2D periodic potentials. They identified and characterized different chaotic transport scenarios, finding them sensitive to system asymmetry for potential particle sorting applications.

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Area of Science:

Physics
Nonlinear Dynamics
Statistical Mechanics

Background:

Chaotic transport in periodic potentials is a complex phenomenon.
Understanding and controlling particle dynamics is crucial in various physical systems.
The absence of a ratchet effect simplifies the analysis of inherent chaotic behaviors.

Purpose of the Study:

To uncover and characterize distinct chaotic transport scenarios in 2D periodic potentials.
To investigate the influence of external periodic forces on particle dynamics.
To explore potential applications in particle sorting by controlling chaotic motion.

Main Methods:

Analysis of symmetries in the equations of motion.
Development of analytical estimates for transport scenarios in parameter space.
Confirmation of theoretical findings through numerical simulations.

Main Results:

Identification of different chaotic transport regimes.
Demonstration of high sensitivity of these scenarios to system asymmetry parameters (potential eccentricity, force directions).
Validation of analytical predictions with numerical simulation data.

Conclusions:

Chaotic transport in 2D periodic potentials can be controlled and characterized.
System asymmetry plays a critical role in dictating transport behavior.
The findings offer potential for particle sorting in systems where chaos is inherent.