From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
Physics Letters B, ISSN: 0370-2693, Vol: 839, Page: 137752
2023
- 17Citations
- 3Captures
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Article Description
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.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0370269323000862; http://dx.doi.org/10.1016/j.physletb.2023.137752; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85148015148&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0370269323000862; https://dx.doi.org/10.1016/j.physletb.2023.137752
Elsevier BV
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