On an Improvement of the Planck radiation Energy Distribution

2006/03/15 by Diego Saa, Saa, Diego · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum Mechanics and Applications #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.physics/0603117

openalex publication_date 2006/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The probability distribution function for thermodynamics and econophysics is obtained by solving an equilibrium equation. This approach is different from the common one of optimizing the entropy of the system or obtaining the state of maximum probability, which usually obtains as a result the Boltzmann distribution. The Gamma distribution is proposed as a better equation to describe the blackbody radiation in substitution of Planck's radiation equation. Also, a new form of entropy is proposed, that maintains the correct relation with the Clausius' formula.

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