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  • 标题:The stochastic piston problem
  • 本地全文:下载
  • 作者:G. Lin ; C. H. Su ; G. E. Karniadakis
  • 期刊名称:Proceedings of the National Academy of Sciences
  • 印刷版ISSN:0027-8424
  • 电子版ISSN:1091-6490
  • 出版年度:2004
  • 卷号:101
  • 期号:45
  • 页码:15840-15845
  • DOI:10.1073/pnas.0405889101
  • 语种:English
  • 出版社:The National Academy of Sciences of the United States of America
  • 摘要: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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