Current inversion in a periodically driven two-dimensional Brownian ratchet

Abstract

It is well-known that Brownian ratchets can exhibit current reversals, wherein the sign of the current switches as a function of the driving frequency. We introduce a spatial discretization of such a two-dimensional Brownian ratchet to enable spectral methods that efficiently compute those currents. These discrete-space models provide a convenient way to study the Markovian dynamics conditioned upon generating particular values of the currents. By studying such conditioned processes, we demonstrate that low-frequency negative values of current arise from typical events and high-frequency positive values of current arises from rare events. We demonstrate how these observations can inform the sculpting of time-dependent potential landscapes with a specific frequency response.

arXiv comment13 pages, 10 figures

References in corpus (19)

• Brownian motors: noisy transport far from equilibrium
• The large deviation approach to statistical mechanics
• Artificial Brownian motors: Controlling transport on the nanoscale
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• Single-molecule experiments in biological physics: methods and applications
• Thermodynamic formalism for systems with Markov dynamics
• Physics of Transport and Traffic Phenomena in Biology: from molecular motors and cells to organisms
• Transport and current reversal in stochastically driven ratchets
• Inferring dissipation from current fluctuations
• Reversible Vortex Ratchet Effects and Ordering in Superconductors with Simple Asymmetric Potential Arrays
• Current reversals in a rocking ratchet: dynamical vs symmetry-breaking mechanisms
• Current Reversals and Synchronization in Coupled Ratchets
• Three and four current reversals versus temperature in correlation ratchets with a simple sawtooh potential
• Periodically driven jump processes conditioned on large deviations
• Stochastic Ratchet Mechanisms for Replacement of Proteins Bound to DNA
• Interaction-induced current-reversals in driven lattices
• Reversible Transport of Interacting Brownian Ratchets
• Current reversals in a rocking ratchet: the frequency domain

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