Autor(es)

Deppman, Airton ; Golmankhaneh, Alireza Khalili ; Megias, Eugenio ; Pasechnik, Roman

• Tipo de documento: Artigo Científico
• Fonte: Physics Letters B; v. 839, p. 5-pg., 2023-02-14.

Resumo

In this work, we study the formal connections between the non-linear Fokker-Planck Equation associated with the non-additive entropy and the Boltzmann Equation with the non-additive correlation functional. The collisional term following the q-algebra is adopted. In the derivation of the non-additive Fokker -Planck Equation, two constraints are imposed on the final result: i) that the entropic index q is a characteristic parameter of the non-additive systems with a value that does not change with time, and ii) that for q -> 1 a smooth transition for the standard Fokker-Planck Equation is obtained.(c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3. (AU)

• Processo FAPESP: 16/17612-7 - Dinamica de Sistemas de Muitos Corpos IV
• Beneficiário: Arnaldo Gammal
• Modalidade de apoio: Auxílio à Pesquisa - Temático