Table 2.

Dimensionless Long-Time Decay Rates of the Particle Lifetime Probability Density, k₁ (See Appendix 3), and of the Transition Time Probability Density, ${\tilde{k}}_f$ (see Figure ⁴)^a

a/R	k1	${\tilde{k}}_{{10}^3}$	${\tilde{k}}_{{10}^4}$	${\tilde{k}}_{{10}^5}$
0.1	1.22	1.21	1.22	1.22
0.3	3.06	3.06	3.07	3.07
0.5	7.41	7.39	7.40	7.41
0.65	16.4	16.5	16.4	16.2
0.9	236	233	236	235

^aThe values of k₁ are calculated from eq A3.5, and the values of ${\tilde{k}}_f$ are obtained from simulations for different values of f and a/R at l/R = 2.