Dynamics of Brownian particles in asymmetric confinement: Insights into Entropic Stochastic Resonance

Abstract

This study explores the effect of asymmetry in thermodynamic response (work done) of an overdamped Brownian system driven by a time-periodic field within a bilobal confinement. The spatial irregularity of the asymmetric confinement induces effective asymmetric entropic bistable potential along the transport direction. The study examines how the frequency of the periodic field and the noise intensity impact the average work done, focusing on its potential as a key metric for examining Entropic Stochastic Resonance (ESR). The findings underscore the impact of confinement asymmetry on reducing the average work done. Furthermore, a transition of the average work done from an energy-dominated state to an entropy-dominated state has also been observed by adjusting the strength of the transverse bias force. In addition, the mean free flying time \((T_{MFFT})\) is an alternative measure that also proposes to describe ESR in the presence of structural asymmetry.