EXACT SOLUTION OF THE DIFFUSION PROBLEM FOR A PIECEWISE LINEAR BARRIER

被引:18
|
作者
PRIVMAN, V [1 ]
FRISCH, HL [1 ]
机构
[1] SUNY ALBANY,DEPT CHEM,ALBANY,NY 12222
来源
JOURNAL OF CHEMICAL PHYSICS | 1991年 / 94卷 / 12期
关键词
D O I
10.1063/1.460105
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We report exact results for the problem of diffusion over a barrier, for a piecewise linear potential. Full solution of the diffusion problem is obtained in the Laplace-transformed time variable. The "survival probability" of a particle not to have escaped over the barrier at large times is studied in detail, and the results are compared with the asymptotic predictions of Kramers in the large-barrier limit.
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页码:8216 / 8219
页数:4
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