Asymmetry-controlled resonant transport in a Brownian flashing ratchet
Abstract
We investigate directed transport in a one-dimensional Brownian flashing ratchet with a piecewise-linear asymmetric periodic potential. Numerical solutions of the Fokker--Planck equation and Brownian dynamics simulations reveal a nonmonotonic dependence of the stationary current on the switching frequency, with a resonant maximum whose position depends on the potential asymmetry δ and barrier height Δ. For moderate asymmetry, |δ|<0.5, the current obeys a scaling form that separates the dependence on the potential parameters from a common frequency dependence, resulting in a data collapse upon appropriate scaling of the current and frequency. The current amplitude varies linearly with δ, while the resonance frequency follows ν(δ,Δ)=ν0(Δ)/ [1−b0 δ2]. We interpret the resulting (1−δ2)−1 scaling in terms of coupled relaxation along the two branches of the asymmetric potential, which provides a physical basis for the observed dependence of the resonant frequency on the potential asymmetry.
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BibTeX
@misc{mandal2026asymmetrycontrolled,
title = {{Asymmetry-controlled resonant transport in a Brownian flashing ratchet}},
author = {Sudipta Mandal and Dipanjan Chakraborty and Debasish Chaudhuri},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29991},
eprint = {2608.29991},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29991},
}
RIS
TY - UNPB
TI - Asymmetry-controlled resonant transport in a Brownian flashing ratchet
AU - Sudipta Mandal
AU - Dipanjan Chakraborty
AU - Debasish Chaudhuri
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.29991
UR - https://arxiv.org/abs/2608.29991
AB - We investigate directed transport in a one-dimensional Brownian flashing ratchet with a piecewise-linear asymmetric periodic potential. Numerical solutions of the Fokker--Planck equation and Brownian dynamics simulations reveal a nonmonotonic dependence of the stationary current on the switching frequency, with a resonant maximum whose position depends on the potential asymmetry δ and barrier height Δ. For moderate asymmetry, |δ|<0.5, the current obeys a scaling form that separates the dependence on the potential parameters from a common frequency dependence, resulting in a data collapse upon appropriate scaling of the current and frequency. The current amplitude varies linearly with δ, while the resonance frequency follows ν(δ,Δ)=ν_0(Δ)/ [1−b_0 δ^2]. We interpret the resulting (1−δ^2)^−1 scaling in terms of coupled relaxation along the two branches of the asymmetric potential, which provides a physical basis for the observed dependence of the resonant frequency on the potential asymmetry.
ER -