Pumping-Restriction Theorem for Stochastic Networks

Abstract

We formulate an exact result, which we refer to as the pumping restriction theorem (PRT). It imposes strong restrictions on the currents generated by periodic driving in a generic dissipative system with detailed balance. Our theorem unifies previously known results with the new ones and provides a universal nonperturbative approach to explore further restrictions on the stochastic pump effect in non-adiabatically driven systems.

4 pages, 5 figures

References in corpus (8)

• Fluctuation theorem for currents and Schnakenberg network theory
• Directed flow in non-adiabatic stochastic pumps
• The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
• Scattering Theory of Dynamic Electrical Transport
• The stochastic pump current and the non-adiabatic geometrical phase
• Symmetry Relations for Trajectories of a Brownian Motor
• Reversible stochastic pump currents in interacting nanoscale conductors
• Geometric Control Over the Motion of Magnetic Domain Walls

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