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

Summary, in English

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.

• Author: Airton Deppman; Alireza Khalili Golmankhaneh; Eugenio Megías; Roman Pasechnik
• Department/s: Particle and nuclear physics
• Publishing year: 2023-04
• Language: English
• Publication/Series: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
• Volume: 839
• Links: http://dx.doi.org/10.1016/j.physletb.2023.137752
• Document type: Journal article
• Publisher: Elsevier
• Topic: Mathematical Analysis; Subatomic Physics
• Status: Published
• ISBN/ISSN/Other: ISSN: 0370-2693