Thermodynamic Circuits I: Association of devices in stationary nonequilibrium
arxiv(2023)
Abstract
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.
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