Exact formula for currents in strongly pumped diffusive systems

Abstract

We analyze a generic model of mesoscopic machines driven by the nonadiabatic variation of external parameters. We derive a formula for the probability current; as a consequence we obtain a no-pumping theorem for cyclic processes satisfying detailed balance and demonstrate that the rectification of current requires broken spatial symmetry.

10 pages, accepted for publication in the Journal of Statistical Physics

References in corpus (8)

• Brownian motors: noisy transport far from equilibrium
• Artificial Brownian motors: Controlling transport on the nanoscale
• Steady State Thermodynamics of Langevin Systems
• Brownian motors
• Path-integral analysis of fluctuation theorems for general Langevin processes
• Directed flow in non-adiabatic stochastic pumps
• The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
• Pumping-Restriction Theorem for Stochastic Networks

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• A proof by graphical construction of the no-pumping theorem of stochastic pumps
• Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems I: Average Currents
• No-pumping theorem for many particle stochastic pumps
• Similarities and Differences Between Nonequilibrium Steady States and Time-Periodic Driving in Diffusive Systems
• Fluctuation Relations for Current Components in Mesoscopic Electric Circuits
• Duality and fluctuation relations for statistics of currents on cyclic graphs
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• The validity of the no-pumping theorem in systems with finite-range interactions between particles