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

Airton Deppman, Alireza Khalili Golmankhaneh, Eugenio Megías, Roman Pasechnik

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number137752
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume839
DOIs
Publication statusPublished - 2023 Apr

Subject classification (UKÄ)

  • Mathematical Analysis
  • Subatomic Physics

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