TY - JOUR

T1 - From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation

AU - Deppman, Airton

AU - Khalili Golmankhaneh, Alireza

AU - Megías, Eugenio

AU - Pasechnik, Roman

PY - 2023/4

Y1 - 2023/4

N2 - 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.

AB - 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.

U2 - 10.1016/j.physletb.2023.137752

DO - 10.1016/j.physletb.2023.137752

M3 - Article

AN - SCOPUS:85148015148

SN - 0370-2693

VL - 839

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

M1 - 137752

ER -