تقرير
From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
| العنوان: | From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation |
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| المؤلفون: | Deppman, Airton, Golmankhaneh, Alireza K., Megias, Eugenio, Pasechnik, Roman |
| المصدر: | Physics Letters B, 839 (2023) 137752 |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter High Energy Physics - Theory |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, High Energy Physics - Theory |
| الوصف: | 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 $q \rightarrow 1$ a smooth transition for the standard Fokker-Planck Equation is obtained. Comment: 5 pages, no figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.physletb.2023.137752 |
| URL الوصول: | http://arxiv.org/abs/2301.08500 |
| رقم الأكسشن: | edsarx.2301.08500 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.physletb.2023.137752 |
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