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<p>This paper presents an application of an approximate relationship be tween the Doppler broadening function based on the Maxwell-Boltzmann distribution and the deformed Doppler broadening function based on the generalized Kaniadakis distribution. The relationship is based on the effective temperature of the medium. The application is to the exemplary cases of the U-238, Th-232, and Pu-240nuclides. The straightforward implementation of the relationship demonstrates its suitability as a tool for diverse cross-section values. These values decrease with the expected attenuation of the peaks as the Kaniadakis <InlineEquation ID="IEq371"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12046_2025_2785_Article_IEq371.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\kappa\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>κ</mi> </math></EquationSource> </InlineEquation> value increases.</p>

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The effective temperature model applied to absorption cross section considering the Kaniadakis distribution

  • 期刊论文

  • 发表日期：

    2025年8月20日

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  • Marcelo V. Silva,
  • Diego Goncalves,
  • Maria V. A. Oliveira,
  • Franck Roger A. Silva,
  • Marcus V. C. Gália,
  • Giovanni L. de Stefani,
  • Daniel A. P. Palma

摘要

This paper presents an application of an approximate relationship be tween the Doppler broadening function based on the Maxwell-Boltzmann distribution and the deformed Doppler broadening function based on the generalized Kaniadakis distribution. The relationship is based on the effective temperature of the medium. The application is to the exemplary cases of the U-238, Th-232, and Pu-240nuclides. The straightforward implementation of the relationship demonstrates its suitability as a tool for diverse cross-section values. These values decrease with the expected attenuation of the peaks as the Kaniadakis \(\kappa\) κ value increases.