Deterministic inhomogeneous inertia ratchets

Details Deterministic inhomogeneous inertia ratchets Deterministic inhomogeneous inertia ratchets

2010-04-05

arxiv.org/abs/1004.0640v1

Physica A (2010) 4052-4060

Physics

Condensed Matter

Statistical Mechanics

15 pages, 15 figures

Scientific paper

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.

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