Difference between revisions of "On an Improvement of the Planck Radiation Energy Distribution"

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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.   
 
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.   
  
[[Category:Scientific Paper]]
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[[Category:Scientific Paper|improvement planck radiation energy distribution]]

Latest revision as of 10:47, 1 January 2017

Scientific Paper
Title On an Improvement of the Planck Radiation Energy Distribution
Author(s) Diego Jos? Arturo Sa
Keywords statistical mechanics, thermodynamics, econophysics, thermodynamic
Published 2006
Journal ArXiv
No. of pages 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.