Entropic stochastic resonance: the constructive role of the unevenness

Abstract

We demonstrate the existence of stochastic resonance (SR) in confined systems arising from entropy variations associated to the presence of irregular boundaries. When the motion of a Brownian particle is constrained to a region with uneven boundaries, the presence of a periodic input may give rise to a peak in the spectral amplification factor and therefore to the appearance of the SR phenomenon. We have proved that the amplification factor depends on the shape of the region through which the particle moves and that by adjusting its characteristic geometric parameters one may optimize the response of the system. The situation in which the appearance of such entropic stochastic resonance (ESR) occurs is common for small-scale systems in which confinement and noise play an prominent role. The novel mechanism found could thus constitute an important tool for the characterization of these systems and can put to use for controlling their basic properties.

arXiv comment8 pages, 8 figures

References in corpus (10)

• Kinetic Equations for Diffusion in the Presence of Entropic Barriers
• Entropic transport: Kinetics, scaling and control mechanisms
• Stochastic resonance as a collective property of ion channel assemblies
• Biased diffusion in confined media: Test of the Fick-Jacobs approximation and validity criteria
• Entropic Stochastic Resonance
• Spatiotemporal Stochastic Resonance in the Swift-Hohenberg Equation
• Divergent Signal-to-Noise Ratio and Stochastic Resonance in Monostable Systems
• Entropic particle transport in periodic channels
• Non-Markovian Stochastic Resonance
• Non-Markovian Stochastic Resonance: three state model of ion channel gating

Cited by in corpus (11)

• Entropic particle transport: higher order corrections to the Fick-Jacobs diffusion equation
• Geometric Stochastic Resonance
• Double Entropic Stochastic Resonance
• Effective one-dimensional description of confined diffusion biased by a transverse gravitational force
• Entropic transport of finite size particles
• Steering the potential barriers: entropic to energetic
• Diffusion of interacting particles in a channel with reflection boundary conditions
• Geometric Brownian Information Engine: Essentials for the best performance
• Phase space reduction of the one-dimensional Fokker-Planck (Kramers) equation
• First-passage times in conical varying-width channels biased by a transverse gravitational force: Comparison of analytical and numerical results
• Resonant activation in 2D and 3D systems driven by multi-variate Lévy noises