Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2004-08-11
Phys. Rev. E 71 (2005) 026228.
Nonlinear Sciences
Chaotic Dynamics
22 pages
Scientific paper
10.1103/PhysRevE.71.026228
We present a comprehensive account of directed transport in one-dimensional Hamiltonian systems with spatial and temporal periodicity. They can be considered as Hamiltonian ratchets in the sense that ensembles of particles can show directed ballistic transport in the absence of an average force. We discuss general conditions for such directed transport, like a mixed classical phase space, and elucidate a sum rule that relates the contributions of different phase-space components to transport with each other. We show that regular ratchet transport can be directed against an external potential gradient while chaotic ballistic transport is restricted to unbiased systems. For quantized Hamiltonian ratchets we study transport in terms of the evolution of wave packets and derive a semiclassical expression for the distribution of level velocities which encode the quantum transport in the Floquet band spectra. We discuss the role of dynamical tunneling between transporting islands and the chaotic sea and the breakdown of transport in quantum ratchets with broken spatial periodicity.
Dittrich Thomas
Ketzmerick Roland
Schanz Holger
No associations
LandOfFree
Directed Chaotic Transport in Hamiltonian Ratchets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Directed Chaotic Transport in Hamiltonian Ratchets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Directed Chaotic Transport in Hamiltonian Ratchets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-208453