Giant acceleration in slow-fast space-periodic Hamiltonian systems

Abstract

Motion of an ensemble of particles in a space-periodic potential well with a weak wave-like perturbation imposed is considered. We found that slow oscillations of wavenumber of the perturbation lead to occurrence of directed particle current. This current is amplifying with time due to giant acceleration of some particles. It is shown that giant acceleration is linked with the existence of resonant channels in phase space.

References in corpus (10)

• Brownian motors: noisy transport far from equilibrium
• Directed current due to broken time-space symmetry
• Phase-control of directed diffusion in a symmetric optical lattice
• Quasiperiodically driven ratchets for cold atoms
• Directed Chaotic Transport in Hamiltonian Ratchets
• Spontaneous DC Current Generation in a Resistively Shunted Semiconductor Superlattice Driven by a TeraHertz Field
• Dynamical mechanisms of DC current generation in driven Hamiltonian systems
• Chaotic mixing and transport in a meandering jet flow
• On passage through resonances in volume-preserving systems
• Divergence of the Chaotic Layer Width and Strong Acceleration of the Spatial Chaotic Transport in Periodic Systems Driven by an Adiabatic ac Force

Cited by in corpus (6)

• Slowly rocking symmetric, spatially periodic Hamiltonians: The role of escape and the emergence of giant transient directed transport
• Recovery of ordered periodic orbits with increasing wavelength for sound propagation in a range-dependent waveguide
• Order-to-chaos transition in the model of a quantum pendulum subjected to noisy perturbation
• Quantum transport in a driven disordered potential: onset of directed current and noise-induced current reversal
• Quantum ratchet driven by broadband perturbation
• Transport in Hamiltonian systems with slowly changing phase space structure