Cumulative distribution functions associated with bubble-nucleation processes in cavitation

Hiroshi Watanabe, Masaru Suzuki, Nobuyasu Ito

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    28 Scopus citations


    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. © 2010 The American Physical Society.
    Original languageEnglish (US)
    JournalPhysical Review E
    Issue number5
    StatePublished - Nov 15 2010

    Bibliographical note

    KAUST Repository Item: Exported on 2020-10-01
    Acknowledged KAUST grant number(s): KUK-I1-005-04
    Acknowledgements: The authors would like to thank S. Takagi and T. Komatsu for fruitful discussions and S. Sasa for valuable comments. This work was partially supported by Grants-in-Aid for Scientific Research (Contract No. 19740235) and by KAUST GRP (Grant No. KUK-I1-005-04). The computation was partly carried out using the facilities of the Supercomputer Center, Institute for Solid State Physics, University of Tokyo and the Research Institute for Information Technology, Kyushu University.
    This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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