Temperatura efetiva do meio para cálculo da função de alargamento Doppler usando distribuição estatística de Kaniadakis

Abstract

This work presents a method that establishes a relation of equivalence between the Doppler broadening function ψ(x, ξ) using the Maxwell-Boltzmann distribution and the deformed Doppler broadening function ψκ(x, ξ), according to the generalised Kaniadakis distribution, through the effective temperature of the medium Tef . The generation of nuclear data is a very complex task and requires a huge effort of computer systems. To overcome this hurdle, the main objective of this paper is to present a simple methodology that allows calculation of the deformed Doppler broadening function ψκ(x, ξ), with the Kaniadakis distribution based on the idea of a mapping of the deformed Doppler broadening function, ψ(x, ξ) via a polynomial multidimensional parametrization. Deformed Doppler broadening function ψκ(x, ξ) is approximated by the Doppler broadening function ψ(x, ˜ξ), where ξ is associated to the temperature of medium T and ˜ξ relates to the effective temperature of medium Tef . That is, in calculation systems aimed at determining multigroup cross sections, it will only be necessary to replace T with Tef .