White noise flashing Brownian pump

TL;DR

This paper analyzes a Brownian pump driven by a stochastic flashing ratchet, providing exact calculations of density profiles, concentration ratios, and particle flux in steady state, along with a numerical evaluation scheme.

Contribution

It introduces an exact analytical approach and a numerical scheme for studying a Brownian pump with a flashing ratchet mechanism in steady state.

Findings

Exact steady-state density profiles and fluxes are obtained.

A numerical scheme for evaluating observable quantities is developed.

The concentration ratio between reservoirs is precisely calculated.

Abstract

A Brownian pump of particles powered by a stochastic flashing ratchet mechanism is studied. The pumping device is embedded in a finite region and bounded by particle reservoirs. In the steady state, we exactly calculate the spatial density profile, the concentration ratio between both reservoirs and the particle flux. A simple numerical scheme is presented allowing for the consistent evaluation of all such observable quantities.