Steady state in two-dimensional diffusion-controlled reactions

被引:1
作者
Condat, CA [1 ]
Sibona, GJ [1 ]
Budde, CE [1 ]
机构
[1] UNIV NACL CORDOBA,FAC MATEMAT ASTRON & FIS,RA-5000 CORDOBA,ARGENTINA
关键词
trapping; droplet; diffusion-controlled reactions; steady state; biased diffusion; two dimensions;
D O I
10.1007/BF02770770
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the conditions under which a steady state can be reached in a two-dimensional diffusion-controlled trapping reaction. If there is no interaction between trap and diffusing particles, the reaction rate decreases monotonically to zero. Here we show that a logarithmic attractive potential between trap and diffusing particles leads to a finite steady-state reaction rate. A steady state can also be reached if the diffusing particles move under the action of a uniform external field. More unexpectedly, a steady-state rate can be obtained in the absence of any ''assisting field'' if the trap grows due to the absorption of the diffusing particles. The reaction rates are calculated in all cases.
引用
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页码:369 / 377
页数:9
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