skip to main content
Idioma:

Asymptotic expressions for the Tsallis Doppler Broadening Function

Cunha, Johann Alexandre Rodrigues ; Guedes, Guilherme ; Palma, Daniel A.P. ; Antunes, Alexandre J.M.

Annals of nuclear energy, 2024-10, Vol.206, p.110613, Article 110613 [Periódico revisado por pares]

Elsevier Ltd

Texto completo disponível

Citações Citado por
  • Título:
    Asymptotic expressions for the Tsallis Doppler Broadening Function
  • Autor: Cunha, Johann Alexandre Rodrigues ; Guedes, Guilherme ; Palma, Daniel A.P. ; Antunes, Alexandre J.M.
  • Assuntos: Asymptotic expression ; Deformed exponential ; Generalized Doppler Broadening Function ; Tsallis distribution
  • É parte de: Annals of nuclear energy, 2024-10, Vol.206, p.110613, Article 110613
  • Descrição: It seems convenient in many applications in physics and engineering to employ asymptotic approximations derived from analytic expressions or integral representations. These approximations simplify mathematical calculations that might otherwise be complex or computationally expensive. Nuclear reactor physics is a field where the Doppler Broadening Function ψ(x,ξ) finds direct applications. It explicitly appears in functional forms for calculations such as self-shielding factors Gepi(ξ,τ) and the function J(ξ,β), which are essential for computing resonance integrals. Recently, there has been a growing interest in the application of deformed statistics to obtain Doppler Broadening Functions that explicitly depend on parameters known as deformation parameters. A promising statistics for applications in nuclear reactor physics is the Tsallis statistics, whose deformation parameter q reproduces the Maxwell–Boltzmann distribution as q approaches 1. In this paper, an asymptotic expression of the Tsallis Doppler Broadening Function ψq(x,ξ) has been derived from its integral form. Notably, this expression converges to the asymptotic form of the non-deformed function ψ(x,ξ) as the deformation parameter q approaches 1. •An asymptotic expression for the Tsallis Doppler Broadening Function is obtained.•In the limit q→1, the known expression for the Doppler Broadening Function is recovered.•The third-order approximation is already quite useful.•The asymptotic expression becomes better as any of the parameters x, ξ, or q become larger.
  • Editor: Elsevier Ltd
  • Idioma: Inglês
Voltar para lista de resultados
Ir para página anteriorAnterior Resultado  2 AvançarIr para próxima página

  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

Buscando em bases de dados remotas. Favor aguardar.