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Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2018

Degree of coupling and efficiency of energy converters far-from-equilibrium

Résumé

In this paper, we introduce a real symmetric and positive semi-definite matrix, which we call the non-equilibrium conductance matrix, and which generalizes the Onsager response matrix for a system in a non-equilibrium stationary state. We then express the thermodynamic efficiency in terms of the coefficients of this matrix using a parametrization similar to the one used near equilibrium. This framework, then valid arbitrarily far from equilibrium allows to set bounds on the thermodynamic efficiency by a universal function depending only on the degree of coupling between input and output currents. It also leads to new general power-efficiency trade-offs valid for macroscopic machines that are compared to trade-offs previously obtained from uncertainty relations. We illustrate our results on an unicycle heat to heat converter and on a discrete model of a molecular motor.
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hal-02371250 , version 1 (21-03-2024)

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Hadrien Vroylandt, David Lacoste, Gatien Verley. Degree of coupling and efficiency of energy converters far-from-equilibrium. Journal of Statistical Mechanics: Theory and Experiment, 2018, 2018 (2), pp.023205. ⟨10.1088/1742-5468/aaa8fe⟩. ⟨hal-02371250⟩
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