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Abstract <p>This paper is devoted to the development of a generalised formalism of statistical physics. The thermal equation of state for a gas with a two-particle interaction potential is obtained within the framework of Rényi statistics. An auxiliary inverse temperature distribution, which provides the established dependence of the terms in the equation of state on the generalising parameter <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11972_2025_8827_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(q\)</EquationSource> <!--BPhysMGU2570091Nakashidz-m1--> </InlineEquation>, is introduced and analysed. Based on the results obtained, an expression for the average energy of the system under study in Rényi statistics is derived. Assumptions about the possible nature of the parameter <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11972_2025_8827_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(q\)</EquationSource> <!--BPhysMGU2570091Nakashidz-m2--> </InlineEquation> are proposed, and promising directions for further research are outlined.</p>

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Thermal Equation of State for a System with a Two-Particle Interaction Potential in Rényi Statistics

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • D. V. Nakashidze,
  • A. M. Savchenko,
  • K. M. Semenov

摘要

Abstract

This paper is devoted to the development of a generalised formalism of statistical physics. The thermal equation of state for a gas with a two-particle interaction potential is obtained within the framework of Rényi statistics. An auxiliary inverse temperature distribution, which provides the established dependence of the terms in the equation of state on the generalising parameter \(q\) , is introduced and analysed. Based on the results obtained, an expression for the average energy of the system under study in Rényi statistics is derived. Assumptions about the possible nature of the parameter \(q\) are proposed, and promising directions for further research are outlined.