Cumulative distribution functions associated with bubble-nucleation processes in cavitation

Handle URI:
http://hdl.handle.net/10754/597911
Title:
Cumulative distribution functions associated with bubble-nucleation processes in cavitation
Authors:
Watanabe, Hiroshi; Suzuki, Masaru; Ito, Nobuyasu
Abstract:
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.
Citation:
Watanabe H, Suzuki M, Ito N (2010) Cumulative distribution functions associated with bubble-nucleation processes in cavitation. Phys Rev E 82. Available: http://dx.doi.org/10.1103/PhysRevE.82.051604.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-I1-005-04
Issue Date:
15-Nov-2010
DOI:
10.1103/PhysRevE.82.051604
PubMed ID:
21230485
Type:
Article
ISSN:
1539-3755; 1550-2376
Sponsors:
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.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorWatanabe, Hiroshien
dc.contributor.authorSuzuki, Masaruen
dc.contributor.authorIto, Nobuyasuen
dc.date.accessioned2016-02-25T12:58:45Zen
dc.date.available2016-02-25T12:58:45Zen
dc.date.issued2010-11-15en
dc.identifier.citationWatanabe H, Suzuki M, Ito N (2010) Cumulative distribution functions associated with bubble-nucleation processes in cavitation. Phys Rev E 82. Available: http://dx.doi.org/10.1103/PhysRevE.82.051604.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid21230485en
dc.identifier.doi10.1103/PhysRevE.82.051604en
dc.identifier.urihttp://hdl.handle.net/10754/597911en
dc.description.abstractBubble-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.en
dc.description.sponsorshipThe 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.en
dc.publisherAmerican Physical Society (APS)en
dc.titleCumulative distribution functions associated with bubble-nucleation processes in cavitationen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionUniversity of Tokyo, Tokyo, Japanen
dc.contributor.institutionKyushu University, Fukuoka, Japanen
kaust.grant.numberKUK-I1-005-04en

Related articles on PubMed

All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.