Stochastic and Quantum Thermodynamics of Driven RLC Networks
(2020) Physical Review X — Vol. 10, n° 3 (2020)
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- Authors
Freitas, Nahuel 
Esposito, Massimiliano
- Abstract
- We develop a general stochastic thermodynamics of RLC electrical networks built on top of a graph-theoretical representation of the dynamics commonly used by engineers. The network is: open, as it contains resistors and current and voltage sources, nonisothermal as resistors may be at different temperatures, and driven, as circuit elements may be subjected to external parametric driving. The proper description of the heat dissipated in each resistor requires care within the white noise idealization as it depends on the network topology. Our theory provides the basis to design circuits-based thermal machines, as we illustrate by designing a refrigerator using a simple driven circuit. We also derive exact results for the low temperature regime in which the quantum nature of the electrical noise must be taken into account. We do so using a semiclassical approach which can be shown to coincide with a fully quantum treatment of linear circuits for which canonical quantization is possible. We use it to generalize the Landauer-B¨uttiker formula for energy currents to arbitrary time-dependent driving protocols
- Affiliations
Citations
Freitas, N., Delvenne, J.-C., & Esposito, M. (2020). Stochastic and Quantum Thermodynamics of Driven RLC Networks. Physical Review X, 10(3). https://doi.org/10.1103/physrevx.10.031005 (Original work published 2020)