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Directed deterministic classical transport: symmetry breaking and beyond.

Lucia Cavallasca1, Roberto Artuso, Giulio Casati

  • 1Center for Nonlinear and Complex Systems, Dipartimento di Fisica e Matematica, Università dell'Insubria, Via Valleggio 11, 22100 Como, Italy. lucia.cavallasca@uninsubria.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
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We investigated transport in a double delta-kicked system, removing symmetries that block directed movement. Our analytical and numerical findings reveal classical current and diffusion behaviors, discussing dissipation

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Statistical Mechanics

Background:

  • Symmetries in physical systems can prevent directed transport.
  • Understanding transport properties is crucial in various scientific fields.

Purpose of the Study:

  • To investigate the transport properties of a double delta-kicked system.
  • To analyze the classical current and diffusion in a symmetry-broken regime.
  • To discuss the role of dissipation in classical ratchet behavior.

Main Methods:

  • Analytical investigation of classical current and diffusion.
  • Numerical computations for validation.
  • Exploration of symmetry removal effects.

Main Results:

Related Experiment Videos

  • Identified nontrivial behavior of classical current and diffusion.
  • Demonstrated good agreement between analytical and numerical results.
  • Analyzed the influence of symmetry removal on transport.

Conclusions:

  • The study provides insights into transport phenomena in kicked systems.
  • Analytical and numerical methods confirm the observed behaviors.
  • Dissipation is essential for achieving classical ratchet effects.