Deterministic inhomogeneous inertia ratchets

Shantu Saikia and Mangal C. Mahato

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 19, 4052-4060

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.

Keywords: Inhomogeneous systems; Underdamped systems; Deterministic ratchets; Langevin equation (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:19:p:4052-4060

DOI: 10.1016/j.physa.2010.05.044

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