Geometric stochastic resonance in a double cavity

TL;DR

This paper investigates how particles exhibit stochastic resonance in a double cavity system with a porous membrane, focusing on synchronization, spectral currents, and the effects of particle interactions, relevant for biological and colloidal transport.

Contribution

It introduces the concept of geometric stochastic resonance in a double cavity setup and analyzes the effects of different driving forces and particle interactions on transport.

Findings

Synchronization process identified in particle diffusion across membranes.

Harmonic-mixing spectral components generated by combined drives.

Particle repulsion influences transport control mechanisms.

Abstract

Geometric stochastic resonance of particles diffusing across a porous membrane subject to oscillating forces is characterized as a synchronization process. Noninteracting particle currents through a symmetric membrane pore are driven either perpendicular or parallel to the membrane, whereas harmonic-mixing spectral current components are generated by the combined action of perpendicular and parallel drives. In view of potential applications to the transport of colloids and biological molecules through narrow pores, we also consider the role of particle repulsion as a controlling factor.