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Bibliographic Details
Main Authors: Raux, Paul, Goupil, Christophe, Verley, Gatien
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2309.12922
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author Raux, Paul
Goupil, Christophe
Verley, Gatien
author_facet Raux, Paul
Goupil, Christophe
Verley, Gatien
contents For a circuit made of thermodynamic devices in stationary nonequilibrium, we determine the mean currents (of energy, matter, charge, etc) exchanged with external reservoirs driving the circuit out of equilibrium. Starting from the conductance matrix describing the nonlinear current--force characteristics of each device, we obtain the conductance matrix of the composite device. This generalizes the rule of resistance addition (serial association) or conductance addition (parallel association) in stationary out-of-equilibrium thermodynamics and for multiple coupled potentials and currents of different natures. Our work emphasizes the pivotal role of conservation laws when creating circuits of complex devices. Finally, two examples illustrate the determination of the conservation laws for the serial and parallel associations of thermodynamic devices.
format Preprint
id arxiv_https___arxiv_org_abs_2309_12922
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Thermodynamic Circuits I: Association of devices in stationary nonequilibrium
Raux, Paul
Goupil, Christophe
Verley, Gatien
Statistical Mechanics
Applied Physics
For a circuit made of thermodynamic devices in stationary nonequilibrium, we determine the mean currents (of energy, matter, charge, etc) exchanged with external reservoirs driving the circuit out of equilibrium. Starting from the conductance matrix describing the nonlinear current--force characteristics of each device, we obtain the conductance matrix of the composite device. This generalizes the rule of resistance addition (serial association) or conductance addition (parallel association) in stationary out-of-equilibrium thermodynamics and for multiple coupled potentials and currents of different natures. Our work emphasizes the pivotal role of conservation laws when creating circuits of complex devices. Finally, two examples illustrate the determination of the conservation laws for the serial and parallel associations of thermodynamic devices.
title Thermodynamic Circuits I: Association of devices in stationary nonequilibrium
topic Statistical Mechanics
Applied Physics
url https://arxiv.org/abs/2309.12922