@misc{10481/81456,
year = {2023},
month = {2},
url = {https://hdl.handle.net/10481/81456},
abstract = {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.},
organization = {Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ)	304244/2018-0},
organization = {Project INCT-FNA	464 898/2014-5},
organization = {Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP)	2016/17612-7},
organization = {MCIN/AEI	PID2020-114767GB-I00},
organization = {FEDER/Junta de Andalucia-Consejeria de Economia y Conocimiento	A-FQM178-UGR18},
organization = {Junta de Andalucia	FQM-225},
organization = {Ramon y Cajal Program of the Spanish MCIN	RYC-2016-20678},
organization = {Swedish Research Council	621-2013-4287},
organization = {European Research Council (ERC)	668679},
publisher = {Elsevier},
title = {From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation},
doi = {10.1016/j.physletb.2023.137752},
author = {Deppman, Airton and Megías Fernández, Eugenio},
}