Cumulative distribution functions associated with bubble-nucleation processes in cavitation

Details Cumulative distribution functions associated with bubble-nucleation processes in cavitation Cumulative distribution functions associated with bubble-nucleation processes in cavitation

2010-07-08

arxiv.org/abs/1007.1305v4

Phys. Rev. E 82, 051604 (2010)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 7 figures

Scientific paper

10.1103/PhysRevE.82.051604

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.

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