Geometric Stochastic Resonance

Abstract

A Brownian particle moving across a porous membrane subject to an oscillating force exhibits stochastic resonance with properties which strongly depend on the geometry of the confining cavities on the two sides of the membrane. Such a manifestation of stochastic resonance requires neither energetic nor entropic barriers, and can thus be regarded as a purely geometric effect. The magnitude of this effect is sensitive to the geometry of both the cavities and the pores, thus leading to distinctive optimal synchronization conditions.

Geometric stochastic resonance in a double cavity

“…II we summarize the spectral properties of geometric SR, as first reported in Ref. [8]. ric SR as a noise controlled synchronization mechanism.…”

“…1(b). For details about the curves φ(D), not relevant to the discussion below, the reader is referred to the original paper [8].…”

Communication: Driven Brownian transport in eccentric septate channels

“…For large driving forces, both quantities approach an asymptotic value, which can be analytically approximated in terms of the stationary distribution of the particle exit times out of a single channel compartment. Brownian transport in coaxial compartmentalized channels [1][2][3][4][5][6] is a topic of potential applications to both natural 7 and artificial devices. 8 These channels are formed by identical compartments connected by narrow openings (pores) centered around the channel axis.…”

Phase Space Reduction of the One-Dimensional Fokker-Planck (Kramers) Equation

“…The effects of slipping of the particles diffusing under a nonconstant force F (x) due to their inertia, as described in Sect. IV, might also influence the interesting phenomena in the micro and nano world, such as Brownian pumps [29,30], rectification of the flux in quasi 1D structures [31], stochastic resonance [20,[32][33][34], or the negative mobility [35]. Study of such applications of the theory presented is expected in the future.…”