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arXiv · 2103.08376

Optimality of non-conservative driving for finite-time processes with discrete states

Benedikt Remlein·Udo Seifert
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Abstract

An optimal finite-time process drives a given initial distribution to a given final one in a given time at the lowest cost as quantified by total entropy production. We prove that for system with discrete states this optimal process involves non-conservative driving, i.e., a genuine driving affinity, in contrast to the case of system with continuous states. In a multicyclic network, the optimal driving affinity is bounded by the number of states within each cycle. If the driving affects forward and backwards rates non-symmetrically, the bound additionally depends on a structural parameter characterizing this asymmetry.

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Benedikt Remlein, Udo Seifert. 2021-03-15. Optimality of non-conservative driving for finite-time processes with discrete states. https://doi.org/10.1103/physreve.103.l050105

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