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Exact Formula for Currents in Strongly Pumped Diffusive Systems

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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.

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Authors and Affiliations

  1. Department of Physics, University of Maryland, College Park, MD, 20742, USA

    Jordan M. Horowitz

  2. Department of Chemistry and Biochemistry, and Institute for Physical Science and Technology, University of Maryland, College Park, MD, 20742, USA

    Christopher Jarzynski

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  1. Jordan M. Horowitz
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  2. Christopher Jarzynski
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Correspondence to Jordan M. Horowitz.

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Horowitz, J.M., Jarzynski, C. Exact Formula for Currents in Strongly Pumped Diffusive Systems. J Stat Phys 136, 917–925 (2009). https://doi.org/10.1007/s10955-009-9818-x

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  • DOI: https://doi.org/10.1007/s10955-009-9818-x

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