Steady-state thermodynamics of non-interacting transport beyond weak coupling

We investigate the thermodynamics of simple (non-interacting) transport models beyond the scope of weak coupling. For a single fermionic or bosonic level -tunnel-coupled to two reservoirs-exact expressions for the stationary matter and energy current are derived from the solutions of the Heisenberg...

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Veröffentlicht in:Europhysics letters 2015-06, Vol.110 (6), p.67003-p1-67003-p6
Hauptverfasser: Topp, Gabriel E., Brandes, Tobias, Schaller, Gernot
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Brandes, Tobias
Schaller, Gernot
description We investigate the thermodynamics of simple (non-interacting) transport models beyond the scope of weak coupling. For a single fermionic or bosonic level -tunnel-coupled to two reservoirs-exact expressions for the stationary matter and energy current are derived from the solutions of the Heisenberg equations of motion. The positivity of the steady-state entropy production rate is demonstrated explicitly. Finally, for a configuration in which particles are pumped upwards in chemical potential by a downward temperature gradient, we demonstrate that the thermodynamic efficiency of this process decreases when the coupling strength between system and reservoirs is increased, as a direct consequence of the loss of a tight coupling between energy and matter currents.
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subjects 05.30.Fk
05.30.Jp
72.10.Bg
Chemical potential
Coupling
Entropy
Equations of motion
Joining
Mathematical models
Reservoirs
Steady state
Temperature gradient
Thermodynamic efficiency
Thermodynamics
Transport
title Steady-state thermodynamics of non-interacting transport beyond weak coupling
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