Phase synchronization in tilted deterministic ratchets

Fernando R. Alatriste and José L. Mateos

Physica A: Statistical Mechanics and its Applications, 2006, vol. 372, issue 2, 263-271

Abstract: We study phase synchronization for a ratchet system. We consider the deterministic dynamics of a particle in a tilted ratchet potential with an external periodic forcing, in the overdamped case. The ratchet potential has to be tilted in order to obtain a rotator or self-sustained nonlinear oscillator in the absence of external periodic forcing. This oscillator has an intrinsic frequency that can be entrained with the frequency of the external driving. We introduced a linear phase through a set of discrete time events and the associated average frequency, and show that this frequency can be synchronized with the frequency of the external driving. In this way, we can properly characterize the phenomenon of synchronization through Arnold tongues, which represent regions of synchronization in parameter space, and discuss their implications for transport in ratchets.

Keywords: Synchronization; Ratchets; Brownian motors; Classical transport (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:372:y:2006:i:2:p:263-271

DOI: 10.1016/j.physa.2006.08.038

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