英语翻译

题目

英语翻译
In the present paper we study a diffusing particle that escapes from a cavity to the outside world through a narrow cylindrical tunnel.While earlier studies of the problem1–3 are focused on the mean particle lifetime,which is only the rst moment of the distribution,we develop a theory that allows us to derive expressions for the Laplace transforms of the particle lifetime probability density and its survival probability.The former is used to obtain an expression for the mean lifetime that contains the results earlier reported in the literature as special cases,which correspond to different escape scenarios.This is a consequence of the fact that our approach is quite general in the sense that it does not assume any particular scenario.The results obtained in the paper show how the escape kinetics depends on the geometric and trans-port parameters of the system,namely,the cavity volume,the length and radius of the tunnel,and the particle diffusion coef?cients in the tunnel and c

答案

In the present paper we study a diffusing particle that escapes from a cavity to the outside world through a narrow cylindrical tunnel. While earlier studies of the problem1-3 are focused on the mean ...