Directed flow in non-adiabatic stochastic pumps

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.

5 pages, 2 figures, very minor changes

References in corpus (5)

• Brownian motors: noisy transport far from equilibrium
• Fluctuation theorem for currents and Schnakenberg network theory
• The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
• Driving particle current through narrow channels using classical pump
• The stochastic pump current and the non-adiabatic geometrical phase

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