Giant coherence in driven systems

Abstract

We study the noise-induced currents and reliability or coherence of transport in two different classes of rocking ratchets. For this, we consider the motion of Brownian particles in the over damped limit in both adiabatic and non-adiabatic regimes subjected to unbiased temporally symmetric and asymmetric periodic driving force. In the case of a time symmetric driving, we find that even in the presence of a spatially symmetric simple sinusoidal potential, highly coherent transport occurs. These ratchet systems exhibit giant coherence of transport in the regime of parameter space where unidirectional currents in the deterministic case are observed. Outside this parameter range, i.e., when current vanishes in the deterministic regime, coherence in transport is very low. The transport coherence decreases as a function of temperature and is a non-monotonic function of the amplitude of driving. The transport becomes unreliable as we go from the adiabatic to the non-adiabatic domain of operation.

arXiv comment15 pages, 9 figures, replaced by the version to appear in JSTAT

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Cited by in corpus (4)

• Diffusion coefficient of a Brownian particle in equilibrium and nonequilibrium: Einstein model and beyond
• Dynamics stabilization and transport coherency in a rocking ratchet for cold atoms
• Supersymmetry and Fokker-Planck dynamics in periodic potentials
• Temperature anomalies of oscillating diffusion in ac-driven periodic systems