Weak-chaos ratchet accelerator

Itzhack Dana, Vladislav B. Roitberg

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Classical Hamiltonian systems with a mixed phase space and some asymmetry may exhibit chaotic ratchet effects. The most significant such effect is a directed momentum current or acceleration. In known model systems, this effect may arise only for sufficiently strong chaos. In this paper, a Hamiltonian ratchet accelerator is introduced, featuring a momentum current for arbitrarily weak chaos. The system is a realistic, generalized kicked rotor and is exactly solvable to some extent, leading to analytical expressions for the momentum current. While this current arises also for relatively strong chaos, the maximal current is shown to occur, at least in one case, precisely in a limit of arbitrarily weak chaos.

Original languageEnglish
Article number066213
Pages (from-to)066213
JournalPhysical Review E
Issue number6
StatePublished - 29 Jun 2011


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