Deterministic inhomogeneous inertia ratchets

Abstract

We study the deterministic dynamics of a periodically driven particle in the underdamped case in a spatially symmetric periodic potential. The system is subjected to a space-dependent friction coefficient, which is similarly periodic as the potential but with a phase difference. We observe that frictional inhomogeneity in a symmetric periodic potential mimics most of the qualitative features of deterministic dynamics in a homogeneous system with an asymmetric periodic potential. We point out the need of averaging over the initial phase of the external drive at small frictional inhomogeneity parameter values or analogously low potential asymmetry regimes in obtaining ratchet current. We also show that at low amplitudes of the drive, where ratchet current is not possible in the deterministic case, noise plays a significant role in realizing ratchet current.

15 pages, 15 figures

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Cited by in corpus (5)

• Stochastic Resonance in Periodic Potentials
• Particle dynamics and Stochastic Resonance in Periodic potentials
• The Persistence of Uphill Anomalous Transport in Inhomogeneous Media
• Ratchet effect in an underdamped periodic potential and its characterisation
• Inertial frictional ratchets and their load bearing efficiencies