From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
(2023) In Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 839.- 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.
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https://lup.lub.lu.se/record/3711664c-0077-45c9-b385-c0d414008f9f
- author
- Deppman, Airton ; Khalili Golmankhaneh, Alireza ; Megías, Eugenio and Pasechnik, Roman LU
- organization
- publishing date
- 2023-04
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
- volume
- 839
- article number
- 137752
- publisher
- Elsevier
- external identifiers
-
- scopus:85148015148
- ISSN
- 0370-2693
- DOI
- 10.1016/j.physletb.2023.137752
- language
- English
- LU publication?
- yes
- id
- 3711664c-0077-45c9-b385-c0d414008f9f
- date added to LUP
- 2023-03-03 12:45:41
- date last changed
- 2023-03-29 01:17:48
@article{3711664c-0077-45c9-b385-c0d414008f9f, abstract = {{<p>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.</p>}}, author = {{Deppman, Airton and Khalili Golmankhaneh, Alireza and Megías, Eugenio and Pasechnik, Roman}}, issn = {{0370-2693}}, language = {{eng}}, publisher = {{Elsevier}}, series = {{Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics}}, title = {{From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation}}, url = {{http://dx.doi.org/10.1016/j.physletb.2023.137752}}, doi = {{10.1016/j.physletb.2023.137752}}, volume = {{839}}, year = {{2023}}, }