کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10226805 | 1701307 | 2019 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Generalized transport equation with nonlocality of space-time. Zubarev's NSO method
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
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چکیده انگلیسی
We presented a general approach for obtaining the generalized transport equations with fractional derivatives by using the Liouville equation with fractional derivatives for a system of classical particles and Zubarev's nonequilibrium statistical operator (NSO) method within Renyi statistics. New non-Markovian diffusion equations for particles in spatially heterogeneous environment with fractal structure and a generalized Cattaneo-type diffusion equation with taking into account nonlocality of space-time are obtained. Different models of frequency-dependent memory functions, which lead to known diffusion equations with nonlocality of space-time and their generalizations are studied.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 514, 15 January 2019, Pages 63-70
Journal: Physica A: Statistical Mechanics and its Applications - Volume 514, 15 January 2019, Pages 63-70
نویسندگان
P.P. Kostrobij, B.M. Markovych, O.V. Viznovych, M.V. Tokarchuk,