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07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Manipulation of dynamical systems by symmetry breaking
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 22, 2002
Summary
We developed a method to control particle transport in complex systems. By applying a brief periodic force, we break symmetries to induce directed motion, enabling manipulation of individual particles or ensembles.
Area of Science:
- * Physics
- * Nonlinear Dynamics
- * Statistical Mechanics
Background:
- * Hamiltonian systems with mixed phase space exhibit complex dynamics.
- * Controlling particle transport in such systems is a significant challenge.
- * Existing methods often lack precision or broad applicability.
Purpose of the Study:
- * To propose a novel approach for manipulating and controlling transport in Hamiltonian systems.
- * To investigate the role of symmetry breaking in inducing directed motion.
- * To demonstrate the applicability of the method to both individual particles and statistical ensembles.
Main Methods:
- * Applying a zero-mean periodic force for a finite duration.
- * Breaking the symmetry of the phase space structure.
- * Inducing time and space reversal asymmetry.
Main Results:
- * Directed transport was achieved by modifying the system's internal dynamics.
- * The proposed strategy successfully manipulated individual particles.
- * The method was also effective for controlling statistical ensembles of particles.
Conclusions:
- * Symmetry breaking via periodic forcing is an effective strategy for directed transport.
- * This approach offers a versatile tool for controlling particle dynamics in Hamiltonian systems.
- * The findings have implications for understanding and manipulating complex physical systems.
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