From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
Metadatos
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Elsevier
Date
2023-02-10Referencia bibliográfica
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]
Patrocinador
Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ) 304244/2018-0; Project INCT-FNA 464 898/2014-5; Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) 2016/17612-7; MCIN/AEI PID2020-114767GB-I00; FEDER/Junta de Andalucia-Consejeria de Economia y Conocimiento A-FQM178-UGR18; Junta de Andalucia FQM-225; Ramon y Cajal Program of the Spanish MCIN RYC-2016-20678; Swedish Research Council 621-2013-4287; European Research Council (ERC) 668679Résumé
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.