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典型文献
Analysis of anomalous transport based on radial fractional diffusion equation
文献摘要:
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 Dα(r)<1 is imposed,compared with the case under Dα(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 α → 1 and causes the uphill transport.However,as α → 2,the fractional diffusion model returns to the standard model governed by Fick's law.
文献关键词:
作者姓名:
Kaibang WU;Lai WEI;Zhengxiong WANG
作者机构:
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
引用格式:
[1]Kaibang WU;Lai WEI;Zhengxiong WANG-.Analysis of anomalous transport based on radial fractional diffusion equation)[J].等离子体科学和技术(英文版),2022(04):106-113
A类:
FDCs
B类:
Analysis,anomalous,fractional,diffusion,Anomalous,magnetically,confined,plasmas,investigated,by,equations,It,shown,that,models,hollow,density,profiles,formed,uphill,transports,observed,regardless,whether,coefficients,radially,dependent,not,When,imposed,compared,case,under,peak,closer,core,Further,found,when,positions,source,injections,increase,values,decrease,local,effect,becomes,significant,order,derivative,causes,However,returns,standard,governed,Fick,law
AB值:
0.501103
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