| The stochastic piston problem. | |
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MedLine Citation:
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PMID: 15514024 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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We obtain analytical solutions for the perturbed shock paths induced by time-varying random motions of a piston moving inside an adiabatic tube of constant area. The variance of the shock location grows quadratically with time for early times and switches to linear growth for longer times. The analytical results are confirmed by stochastic numerical simulations, and deviations for large random piston motions are established. |
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Authors:
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G Lin; C H Su; G E Karniadakis |
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Publication Detail:
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Type: Journal Article Date: 2004-10-28 |
Journal Detail:
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Title: Proceedings of the National Academy of Sciences of the United States of America Volume: 101 ISSN: 0027-8424 ISO Abbreviation: Proc. Natl. Acad. Sci. U.S.A. Publication Date: 2004 Nov |
Date Detail:
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Created Date: 2004-11-10 Completed Date: 2004-12-28 Revised Date: 2008-11-20 |
Medline Journal Info:
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Nlm Unique ID: 7505876 Medline TA: Proc Natl Acad Sci U S A Country: United States |
Other Details:
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Languages: eng Pagination: 15840-5 Citation Subset: - |
Affiliation:
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Division of Applied Mathematics, Brown University, 182 George Street, Providence, RI 02912, USA. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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