Anomalous diffusion with absorption: Exact time-dependent solutions

被引:53
作者
Drazer, G
Wio, HS
Tsallis, C
机构
[1] Univ Buenos Aires, Fac Ingn, Grp Medios Porosos, Buenos Aires, DF, Argentina
[2] Comis Nacl Energia Atom, Ctr Atom Bariloche, RA-8400 Bariloche, Rio Negro, Argentina
[3] Comis Nacl Energia Atom, Inst Balseiro, RA-8400 Bariloche, Rio Negro, Argentina
[4] UNC, RA-8400 Bariloche, Rio Negro, Argentina
[5] Univ N Texas, Dept Phys, Denton, TX 76203 USA
[6] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil
来源
PHYSICAL REVIEW E | 2000年 / 61卷 / 02期
关键词
D O I
10.1103/PhysRevE.61.1417
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
Recently, analytical solutions of a nonlinear Fokker-Planck equation describing anomalous diffusion with an external linear force were found using a nonextensive thermostatistical Ansatz. We have extended these solutions to the case when an homogeneous absorption process is also present. Some peculiar aspects of the inter-relation between the deterministic force, the nonlinear diffusion, and the absorption process are discussed.
引用
收藏
页码:1417 / 1422
页数:6
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