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Dynamical mechanisms of dc current generation in driven Hamiltonian systems
1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
Summary
Directed current generation in particle dynamics is explained by desymmetrized ballistic channels within the stochastic layer. These channels, arising from resonance islands, drive particle motion and induce direct current (dc) flow.
Area of Science:
- Nonlinear dynamics
- Statistical physics
- Condensed matter physics
Background:
- Symmetry considerations predict direct current (dc) generation in driven particle systems.
- The stochastic layer of a 1D potential system with ac drive is a key area of study.
Purpose of the Study:
- To elucidate the dynamical origin of dc current generation in a driven 1D particle system.
- To identify the specific mechanisms responsible for current induction within the stochastic layer.
Main Methods:
- Analysis of particle motion within the stochastic layer.
- Identification and characterization of ballistic channels.
- Numerical computation of distribution functions for flight dynamics.
Main Results:
- DC current is induced by the presence and desymmetrization of ballistic channels.
- Ballistic channels originate from resonance islands with nonzero winding numbers.
- Numerically obtained distribution functions accurately describe flight dynamics within these channels.
Conclusions:
- The dynamical origin of dc current in this system is attributed to desymmetrized ballistic channels.
- Resonance islands play a crucial role in forming these current-inducing channels.
- The study provides a robust description of particle dynamics within ballistic channels through distribution functions.