Entropy Production and Luminosity-Effective Temperature Relation for Main-Sequence Stars
Leonid M. Martyushev, Sergey N. Zubarev

TL;DR
This paper derives a new, parameter-free relation between luminosity and effective temperature for main-sequence stars using the maximum entropy production principle, showing it outperforms previous models with extensive observational data.
Contribution
It introduces a novel, simple derivation of the luminosity-temperature relation based on entropy production, without empirical parameters, improving upon classic models.
Findings
The new relation fits observational data better than previous models.
The derivation is simpler and parameter-free compared to traditional methods.
Empirical validation with over 7,500 stars supports the model's accuracy.
Abstract
Based on the maximum entropy production principle, a relation between luminosity and effective temperature for main-sequence stars is obtained. Simplicity of the derivation and absence of any empirical parameters in the result is a fundamental difference of the present method from the classic ones where equations of stellar structure are analyzed. Using available photometric data (Webda, GCG) for more than 7.5 thousand stars, it is shown that the obtained luminosity-temperature relation is better than previously used ones.
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