Analysis of anomalous transport based on radial fractional diffusion equation

被引：4

作者：

Wu, Kaibang ^{[1
]}

Wei, Lai ^{[1
]}

Wang, Zhengxiong ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Phys, Key Lab Mat Modificat Beams, Minist Educ, Dalian 116024, Peoples R China

来源：

PLASMA SCIENCE & TECHNOLOGY | 2022年 / 24卷 / 04期

基金：

中国国家自然科学基金;

关键词：

anomalous transport; hollow profile; non-locality; fractional diffusion equation; ENERGY; MODELS;

D O I：

10.1088/2058-6272/ac41bd

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Anomalous transport in magnetically confined plasmas is investigated by radial fractional transport equations. It is shown that for fractional transport models, hollow density profiles are formed and uphill transports can be observed regardless of whether the fractional diffusion coefficients (FDCs) are radially dependent or not. When a radially dependent FDC D-alpha(r) < 1 is imposed, compared with the case under D-alpha(r) = 1.0, it is observed that the position of the peak of the density profile is closer to the core. Further, it is found that when FDCs at the positions of source injections increase, the peak values of density profiles decrease. The non-local effect becomes significant as the order of fractional derivative alpha -> 1 and causes the uphill transport. However, as alpha -> 2, the fractional diffusion model returns to the standard model governed by Fick's law.

引用

页数：8

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