Quantifying the value of transient voltage sources

Abstract

Some voltage sources are transient, lasting only for a moment of time, such as the voltage generated by converting a human motion into electricity. Such sources moreover tend to have a degree of randomness as well as internal resistance. We investigate how to put a number to how valuable a given transient source is. We derive several candidate measures via a systematic approach. We establish an inter-convertibility hierarchy between such sources, where inter-conversion means adding passive interface circuits to the sources. Resistors at the ambient temperature are at the bottom of this hierarchy and sources with low internal resistance and high internal voltages are at the top. We provide three possible measures for a given source that assign a number to the source respecting this hierarchy. One measure captures how much ``unitdc" the source contains, meaning $1$ V dc with $1\Omega$ internal resistance for $1$s. Another measure relates to the signal-to-noise ratio of the voltage time-series whereas a third is based on the relative entropy between the voltage probability distribution and a thermal noise resistor. We argue that the unitdc measure is particularly useful by virtue of its operational interpretation in terms of the number of unit dc sources that one needs to combine to create the source or that can be distilled from the source.

arXiv comment12+10 pages, 7 figures, 2 tables, close to the published version, see the APS' news on the article: https://info.aps.org/webmail/640833/799806911/789e72fb88aa159b643421dc42e9d7aeec64e5de4bece65f83544c3eed821542

References in corpus (24)

• Quantum entanglement
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Quantifying Coherence
• Introduction to Quantum Noise, Measurement and Amplification
• Quantum Resource Theories
• Measuring Quantum Coherence with Entanglement
• Reference frames, superselection rules, and quantum information
• The Resource Theory of Quantum States Out of Thermal Equilibrium
• The Physics and Mathematics of the Second Law of Thermodynamics
• The general structure of quantum resource theories
• Extending Noether's theorem by quantifying the asymmetry of quantum states
• Nonequilibrium fluctuations in a resistor
• The theory of manipulations of pure state asymmetry: basic tools and equivalence classes of states under symmetric operations
• Multi-level quantum description of decoherence in superconducting qubits
• Power and heat fluctuation theorems for electric circuits
• On the heat flux and entropy produced by thermal fluctuations
• Conservation Laws shape Dissipation
• Stochastic Thermodynamics of Non-Linear Electronic Circuits: A Realistic Framework for Computing around kT
• Statistical properties of the energy exchanged between two heat baths coupled by thermal fluctuations
• Information entropic superconducting microcooler
• Stochastic and Quantum Thermodynamics of Driven RLC Networks
• Multiport Impedance Quantization
• Canonical circuit quantization with linear nonreciprocal devices
• Finite-time thermodynamics of port-Hamiltonian systems

Cited by in corpus (1)

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