کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1899669 | 1045114 | 2012 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Macrostatistics and Fluctuating Hydrodynamics
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Macrostatistics and Fluctuating Hydrodynamics Macrostatistics and Fluctuating Hydrodynamics](/preview/png/1899669.png)
چکیده انگلیسی
We extend our earlier macrostatistical treatment of hydrodynamical fluctuations about nonequilibrium steady states to viscous fluids. Since the scale dependence of the Navier-Stokes equations precludes the applicability of any infinite scale (hydrodynamical) limit, this has to based on the generic model of a large but finite system, rather than an infinite one. On this basis, together with the assumption of Onsager's regression hypothesis and conditions of local equilibrium and chaoticity, we show that the hydrodynamical fluctuations of a reservoir driven fluid about a nonequilibrium steady state execute a Gaussian Markov process that constitutes a mathematical structure for a generalised version of Landau's fluctuating hydrodynamics and generically carries long range spatial correlations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 70, Issue 2, October 2012, Pages 251-272
Journal: Reports on Mathematical Physics - Volume 70, Issue 2, October 2012, Pages 251-272
نویسندگان
Geoffrey L. Sewell,