کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11023281 | 1701307 | 2019 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Subdiffusion and ergodicity breaking in heterogeneous environments subject to Lévy noise
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
The anomalous diffusion and ergodicity breaking of Brownian particles in heterogeneous environments (space-dependent diffusion coefficient D(x)=D0|x|α) subject to Lévy noise are investigated, by both the analytically theory and the numerically simulating schemes. Within the tailored parameter, the competition of the power-law exponent α
and the Lévy index μ ensures the long tail of probability density function with the form P(x)â¼1|x|μâp+1 with p=22âα, falling rapidly when μâp>2. Meanwhile, we observe the subdiffusive motion that is characterized by the scale of ensemble averaged mean-square displacement (MSD), ãx2(t)ãâtκ with κ=2pμ<1. Furthermore, we also observe the weak ergodicity breaking which means the inequivalence between individual time averaged MSD and the corresponding ensemble averaged MSD. We quantify the weak ergodicity breaking behavior in terms of the dimensionless parameters EB and EB. For 1â¤Î¼<2 (except for μ=2), the ergodicity breaking enhances as the α increases, but weakens as μ or D0. Overall, the EB follows the from, EBâ(ÎâT)(12â2pμ), in the large time. Additionally, the anomalous diffusion above might be particularly relevant for ultracold atoms diffusion in heterogeneous media.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 514, 15 January 2019, Pages 948-956
Journal: Physica A: Statistical Mechanics and its Applications - Volume 514, 15 January 2019, Pages 948-956
نویسندگان
Yong Li, Wei Guo, Lu-Chun Du, Dong-Cheng Mei,