From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation Deppman, Airton Megías Fernández, Eugenio 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. 2023-05-11T08:19:46Z 2023-05-11T08:19:46Z 2023-02-10 journal article A. Deppman, A. Khalili Golmankhaneh, E. Megías et al. From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation. Physics Letters B 839 (2023) 137752[https://doi.org/10.1016/j.physletb.2023.137752] https://hdl.handle.net/10481/81456 10.1016/j.physletb.2023.137752 eng info:eu-repo/grantAgreement/ERC/H2020/668679 http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier