Work

Ratcheting by Stochastic Resetting With Fat‐Tailed Time Distributions

Year: 2024

Type: article

Abstract: We investigated both numerically and analytically the drift of a Brownian particle in a ratchet potential under stochastic resetting with fat‐tailed distributions. As a study case we chose a Pareto time distribution with tail index β. We observed that for rectification occurs even if for the mean resetting time is infinite. However, for rectification is completely suppressed. For low noise levels, the drift speed attains a maximum for β immediately above 1, that is for finite but large mean resetting times. In correspondence with such an optimal drift the particle diffusion over the ratchet potential turns from normal to superdiffusive, a property also related to the fat tails of the resetting time distribution.

Source: ChemPhysChem

DOI: 10.1002/cphc.202400313

Authors: Jianli Liu, Yunyun Li, Pulak K. Ghosh, Shubhadip Nayak, Fabio Marchesoni

Institutions: Tongji University, Presidency University, Presidency University, Università di Camerino

Language: English

Topic: stochastic dynamics and bifurcation

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,330

Funders: National Science Foundation, Università degli Studi di Camerino