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Ideal memcapacitors and meminductors are overunity devices.
Dimitri Jeltsema1, Arjan van der Schaft2
1School of Engineering and Automotive, HAN University of Applied Science, P.O. Box 2217, 6802 CE, Arnhem, The Netherlands. d.jeltsema@han.nl.
Scientific Reports
|October 8, 2020
Summary
Ideal memcapacitors and meminductors are proven to be non-physical, violating thermodynamic laws by enabling over 100% energy conversion efficiency. These theoretical devices are mathematical artifacts, unlike their non-ideal counterparts.
Area of Science:
- Physics
- Thermodynamics
- Electrical Engineering
Background:
- Memcapacitors and meminductors are theoretical circuit elements.
- Their passivity and energy behavior are subjects of ongoing research.
- Understanding their physical limitations is crucial for developing realistic models.
Purpose of the Study:
- To rigorously prove whether ideal memcapacitors and meminductors are passive or cyclo-passive devices.
- To investigate the energy conversion efficiency of these ideal components.
- To determine the physical implications of their behavior concerning thermodynamic laws.
Main Methods:
- Theoretical derivation and mathematical proof.
- Analysis of energy exchange under specific excitation profiles.
- Construction of a mechanical analogue to illustrate energy extraction.
Main Results:
- Ideal memcapacitors and meminductors are demonstrated to be non-passive and non-cyclo-passive.
- Excitation profiles exist that allow energy extraction exceeding supplied energy (over 100% efficiency).
- These ideal devices violate the First Law of Thermodynamics, classifying them as non-physical overunity systems.
Conclusions:
- Ideal memcapacitors and meminductors are mathematical artifacts, not physically realizable systems.
- The findings necessitate a re-evaluation of non-ideal memcapacitive and meminductive systems.
- Future research should focus on physically consistent memristive device models that adhere to thermodynamic principles.
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