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Exact Formula for Currents in Strongly Pumped Diffusive Systems

2009/09/01 by Jordan M. Horowitz, Christopher Jarzynski · 1 citation
Mathematics · Neuroscience · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Current (fluid) #Detailed balance #Geometry #Mathematics #Mesoscopic physics #Neural dynamics and brain function #Physics #Quantum mechanics #Rectification #Statistical physics #Symmetry (geometry) #Voltage #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1007/s10955-009-9818-x

published as J. Stat. Phys. (2009) 136:917-925 · 10 pages, accepted for publication in the Journal of Statistical Physics

openalex publication_date 2009/09/01 · arxiv created 2009/09/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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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