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From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation

Deppman, Airton ; Khalili Golmankhaneh, Alireza ; Megías, Eugenio and Pasechnik, Roman LU (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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author
; ; and
organization
publishing date
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}},
}