# Roman Pasechnik

Senior lecturer

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

Author

## 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.

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

Document type

Journal article

Publisher

Elsevier

Topic

- Mathematical Analysis
- Subatomic Physics

Status

Published

ISBN/ISSN/Other

- ISSN: 0370-2693