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Irreversibility, heat and information flows induced by non-reciprocal interactions

2020/08/31 by Sarah A. M. Loos, Sabine H. L. Klapp · 1 citation
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1088/1367-2630/abcc1e

published as New J. Phys. 22, 123051 (2020) · arXiv admin note: text overlap with arXiv:1910.08372

arxiv created 2021/04/28 · arxiv updated 2021/04/29

Abstract

We study the thermodynamic properties induced by non-reciprocal interactions between stochastic degrees of freedom in time- and space-continuous systems. We show that, under fairly general conditions, non-reciprocal coupling alone implies a steady energy flow through the system, i.e., non-equilibrium. Projecting out the non-reciprocally coupled degrees of freedom renders non-Markovian, one-variable Langevin descriptions with complex types of memory, for which we find a generalized second law involving information flow. We demonstrate that non-reciprocal linear interactions can be used to engineer non-monotonic memory, which is typical for, e.g., time-delayed feedback control, and is automatically accompanied with a nonzero information flow through the system. Furthermore, already a single non-reciprocally coupled degree of freedom can extract energy from a single heat bath (at isothermal conditions), and can thus be viewed as a minimal version of a time-continuous, autonomous "Maxwell demon". At the same time, the non-reciprocal system has characteristic features of active matter, such as a positive energy input on the level of the flucuating trajectories, without global particle transport.

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