From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, cilt.839, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 839
- Basım Tarihi: 2023
- Doi Numarası: 10.1016/j.physletb.2023.137752
- Dergi Adı: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, INSPEC, zbMATH, Directory of Open Access Journals
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
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.