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From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
dc.contributor.author | Deppman, Airton | |
dc.contributor.author | Megías Fernández, Eugenio | |
dc.date.accessioned | 2023-05-11T08:19:46Z | |
dc.date.available | 2023-05-11T08:19:46Z | |
dc.date.issued | 2023-02-10 | |
dc.identifier.citation | 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] | es_ES |
dc.identifier.uri | https://hdl.handle.net/10481/81456 | |
dc.description.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. | es_ES |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ) 304244/2018-0 | es_ES |
dc.description.sponsorship | Project INCT-FNA 464 898/2014-5 | es_ES |
dc.description.sponsorship | Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) 2016/17612-7 | es_ES |
dc.description.sponsorship | MCIN/AEI PID2020-114767GB-I00 | es_ES |
dc.description.sponsorship | FEDER/Junta de Andalucia-Consejeria de Economia y Conocimiento A-FQM178-UGR18 | es_ES |
dc.description.sponsorship | Junta de Andalucia FQM-225 | es_ES |
dc.description.sponsorship | Ramon y Cajal Program of the Spanish MCIN RYC-2016-20678 | es_ES |
dc.description.sponsorship | Swedish Research Council 621-2013-4287 | es_ES |
dc.description.sponsorship | European Research Council (ERC) 668679 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation | es_ES |
dc.type | journal article | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/ERC/H2020/668679 | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1016/j.physletb.2023.137752 | |
dc.type.hasVersion | VoR | es_ES |
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