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    Thermodynamic control of nonequilibrium systems

    Dana Kamp* and Karel Proesmans†

    • *Contact author: dana.taylor.kamp@nbi.ku.dk
    • †Contact author: karel.proesmans@nbi.ku.dk

    Phys. Rev. E 113, 014140 – Published 27 January, 2026

    DOI: https://doi.org/10.1103/38p6-mqcb

    Abstract

    We study the thermodynamic cost associated with driving systems between different nonequilibrium steady states. In particular, we combine a linear-response framework for nonequilibrium Markov systems with Lagrangian techniques to minimize the dissipation associated with driving processes. We then apply our framework to a simple toy model. Our results show several remarkable properties for the optimal protocol, such as diverging parameters and finite entropy production in the slow-driving limit.

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    This article appears in the following collection:

    Controlling Stochastic Dynamics Across Scales

    We present a Collection of papers on Controlling Stochastic Dynamics Across Scales. It seeks to highlight novel studies on controlling the dynamics of complex stochastic systems with a rich phenomenology. Guest editors of the Collection are Étienne Fodor of the University of Luxembourg and Todd Gingrich of Northwestern University.

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