Autonomous ratcheting by stochastic resetting

Pulak K Ghosh; Shubhadip Nayak; Jianli Liu; Yunyun Li; Fabio Marchesoni

doi:10.1063/5.0159148

Autonomous ratcheting by stochastic resetting

J Chem Phys. 2023 Jul 21;159(3):031101. doi: 10.1063/5.0159148.

Authors

Pulak K Ghosh¹, Shubhadip Nayak¹, Jianli Liu², Yunyun Li², Fabio Marchesoni^{2

3}

Affiliations

¹ Department of Chemistry, Presidency University, Kolkata 700073, India.
² Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Center for Phononics and Thermal Energy Science, Tongji University, Shanghai 200092, China.
³ Dipartimento di Fisica, Università di Camerino, I-62032 Camerino, Italy.

PMID: 37466227
DOI: 10.1063/5.0159148

Abstract

We propose a generalization of the stochastic resetting mechanism for a Brownian particle diffusing in a one-dimensional periodic potential: randomly in time, the particle gets reset at the bottom of the potential well it was in. Numerical simulations show that in mirror asymmetric potentials, stochastic resetting rectifies the particle's dynamics, with a maximum drift speed for an optimal average resetting time. Accordingly, an unbiased Brownian tracer diffusing on an asymmetric substrate can rectify its motion by adopting an adaptive stop-and-go strategy. Our proposed ratchet mechanism can model the directed autonomous motion of molecular motors and micro-organisms.