کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
977646 933200 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fokker–Planck equation with fractional coordinate derivatives
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Fokker–Planck equation with fractional coordinate derivatives
چکیده انگلیسی

Using the generalized Kolmogorov–Feller equation with long-range interaction, we obtain kinetic equations with fractional derivatives with respect to coordinates. The method of successive approximations, with averaging with respect to a fast variable, is used. The main assumption is that the correlation function of probability densities of particles to make a step has a power-law dependence. As a result, we obtain a Fokker–Planck equation with fractional coordinate derivative of order 1<α<21<α<2.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 387, Issue 26, 15 November 2008, Pages 6505–6512
نویسندگان
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