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Generalized formulation for ideal light-powered systems through energy and entropy flow analysis Part 2: Beyond the first-order evaluation under realistic conditions

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  • Yabuki, Tetsuo

Abstract

This study formulates the ideal efficiency of light-powered systems in the most general form, based on the first principle of energy-entropy flow analysis under the condition of zero entropy generation within the system. A unified formula for the ideal efficiency of light-powered systems is presented in this study. The formula incorporates the absorption ratio ε as an indicator beyond the first-order evaluation based on photon number, for light with a dilution indicator d, and it is extended to cases where entropy is simultaneously discarded from the system via radiation and heat. Selecting the appropriate Y-factors and p-parameters from this study for given conditions allows us to accurately and systematically derive the ideal efficiencies of light-powered systems and correctly classify the multiple ideal efficiencies that were previously confused, such as efficiencies include the Jeter, Spanner, and Landsberg-Petela efficiencies which form the basis of practical efficiency. This study also classified existing light-powered systems into two models: the piston-cylinder radiation model and the flowing radiation model, and demonstrated that the latter model is suitable for micro light-powered systems. Finally, this study clarified two issues with the ideal efficiency proposed by Landsberg and Tonge (often referred to as the Landsberg limit) based on the classical flowing radiation model, and derived a new ideal efficiency using a simple mathematical model based on Einstein's theory of radiation and absorption in a two-level system, which assumes quantum transitions, to resolve those problems. The newly obtained ideal efficiency was found to behave very similarly to the Carnot efficiency.

Suggested Citation

  • Yabuki, Tetsuo, 2025. "Generalized formulation for ideal light-powered systems through energy and entropy flow analysis Part 2: Beyond the first-order evaluation under realistic conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 679(C).
    • Handle: RePEc:eee:phsmap:v:679:y:2025:i:c:s0378437125006363
    DOI: 10.1016/j.physa.2025.130984
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    References listed on IDEAS

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    1. Eduardo Rodríguez & José M. Cardemil & Allan R. Starke & Rodrigo Escobar, 2022. "Modelling the Exergy of Solar Radiation: A Review," Energies, MDPI, vol. 15(4), pages 1-26, February.
    2. Tom Markvart, 2016. "From steam engine to solar cells: can thermodynamics guide the development of future generations of photovoltaics?," Wiley Interdisciplinary Reviews: Energy and Environment, Wiley Blackwell, vol. 5(5), pages 543-569, September.
    3. Rawat, Rahul & Lamba, Ravita & Kaushik, S.C., 2017. "Thermodynamic study of solar photovoltaic energy conversion: An overview," Renewable and Sustainable Energy Reviews, Elsevier, vol. 71(C), pages 630-638.
    4. Yabuki, Tetsuo, 2025. "Generalized formulation for ideal light-powered systems through energy and entropy flow analysis part1. Based on the first-order evaluation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 677(C).
    5. Agudelo, Andrés & Cortés, Cristóbal, 2010. "Thermal radiation and the second law," Energy, Elsevier, vol. 35(2), pages 679-691.
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    1. Yabuki, Tetsuo, 2025. "Generalized formulation for ideal light-powered systems through energy and entropy flow analysis part1. Based on the first-order evaluation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 677(C).

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