Unification and new extensions of the no-pumping theorems of stochastic pumps

TL;DR

This paper provides a unified framework for the no-pumping theorem in stochastic pumps and extends it to systems with multiple interacting particle species, broadening its applicability.

Contribution

It unifies existing no-pumping theorems and introduces new extensions for systems with multiple interacting particle types.

Findings

Unified treatment of all known NPT adaptations

Extended NPT to systems with many interacting species

Broadened the scope of no-pumping conditions in stochastic systems

Abstract

From molecular machines to quantum dots, a wide range of mesoscopic systems can be modeled by periodically driven Markov processes, or stochastic pumps. Currents in the stochastic pumps are delimited by an exact no-go condition called the no-pumping theorem (NPT). The letter presents a unified treatment of all the adaptations of NPT known so far, and further extends it to systems with many species of interacting particles.