Eigenvector-eigenvalue rate calculations for the fluctuating barrier problem: Two examples

被引：8

作者：

Ankerhold, J

Pechukas, P

机构：

[1] Univ Freiburg, Fak Phys, D-79104 Freiburg, Germany

[2] Columbia Univ, Dept Chem, New York, NY 10027 USA

来源：

PHYSICAL REVIEW E | 1998年 / 58卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.58.6968

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：

By means of the corresponding Fokker-Planck equation two simple systems with fluctuating barriers are studied: the piecewise linear and the piecewise constant model. In the Smoluchowski limit and for dichotomous barrier fluctuations we derive explicit expressions for equilibrium and relaxation eigenvectors and determine the least negative eigenvalue, the relaxation rate, for all values of the barrier fluctuation rate. In particular, the accuracy of an approximate method for solving the eigenvector-eigenvalue problem is demonstrated. [S1063-651X(98)08711-X].

引用

页码：6968 / 6974

页数：7

共 8 条

[1] TRANSIENT KINETICS OF CHEMICAL-REACTIONS WITH BOUNDED DIFFUSION PERPENDICULAR TO THE REACTION COORDINATE - INTRAMOLECULAR PROCESSES WITH SLOW CONFORMATIONAL-CHANGES [J].