Directed flow in non-adiabatic stochastic pumps

TL;DR

This paper investigates the behavior of molecular machines driven by non-adiabatic external parameter changes, deriving formulas for flow, a no-pumping theorem, and geometric expressions in the adiabatic limit.

Contribution

It introduces a new formula for integrated flow, establishes a no-pumping theorem for cyclic processes, and connects adiabatic pumped current to geometric expressions.

Findings

Derived a formula for integrated flow between configurations.

Proved a no-pumping theorem for thermally activated cyclic processes.

Showed that in the adiabatic limit, the pumped current has a geometric form.

Abstract

We analyze the operation of a molecular machine driven by the non-adiabatic variation of external parameters. We derive a formula for the integrated flow from one configuration to another, obtain a "no-pumping theorem" for cyclic processes with thermally activated transitions, and show that in the adiabatic limit the pumped current is given by a geometric expression.