Analysis of anomalous transport based on radial fractional diffusion equation  

作　　者：Kaibang WU Lai WEI Zhengxiong WANG 吴凯邦;魏来;王正汹(Key Laboratory of Materials Modification by Beams of the Ministry of Education,School of Physics,Dalian University of Technology,Dalian 116024,People's Republic of China)

机构地区：[1]Key Laboratory of Materials Modification by Beams of the Ministry of Education,School of Physics,Dalian University of Technology,Dalian 116024,People's Republic of China

出　　处：《Plasma Science and Technology》2022年第4期106-113,共8页等离子体科学和技术（英文版）

基　　金：supported by the National MCF Energy R&D Program of China(No.2019YFE03090300);National Natural Science Foundation of China(No.11925501);Fundamental Research Funds for the Central Universities(No.DUT21GJ204)。

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_(α)(r)1 is imposed,compared with the case under=D_(α)(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 a 1 and causes the uphill transport.However,as a 2,the fractional diffusion model returns to the standard model governed by Fick’s law.

关 键 词：anomalous transport hollow profile NON-LOCALITY fractional diffusion equation 

分 类 号：O53[理学—等离子体物理]