Cumulative distribution functions associated with bubble-nucleation processes in cavitation

作     者：Hiroshi Watanabe Masaru Suzuki Nobuyasu Ito 

作者机构：Supercomputing Division Information Technology Center The University of Tokyo 2-11-16 Yayoi Bunkyo Tokyo 113-8658 Japan Department of Applied Quantum Physics and Nuclear Engineering Kyushu University 744 Motooka Nishi-ku Fukuoka 819-0395 Japan Department of Applied Physics School of Engineering The University of Tokyo Hongo Bunkyo-ku Tokyo 113-8656 Japan 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2010年第82卷第5期

页      面：051604-051604页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

基　　金：KAUST GRP [KUK-I1-005-04] 19740235 

主　　题：Relaxation time 

摘      要：Bubble-nucleation processes of a Lennard-Jones liquid are studied by molecular dynamics simulations. Waiting time, which is the lifetime of a superheated liquid, is determined for several system sizes, and the apparent finite-size effect of the nucleation rate is observed. From the cumulative distribution function of the nucleation events, the bubble-nucleation process is found to be not a simple Poisson process but a Poisson process with an additional relaxation time. The parameters of the exponential distribution associated with the process are determined by taking the relaxation time into account, and the apparent finite-size effect is removed. These results imply that the use of the arithmetic mean of the waiting time until a bubble grows to the critical size leads to an incorrect estimation of the nucleation rate.