Academic Journal
Estimation of the local response to a forcing in a high dimensional system using the fluctuation-dissipation theorem
| العنوان: | Estimation of the local response to a forcing in a high dimensional system using the fluctuation-dissipation theorem |
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| المؤلفون: | F. C. Cooper, J. G. Esler, P. H. Haynes |
| المصدر: | Nonlinear Processes in Geophysics, Vol 20, Iss 2, Pp 239-248 (2013) |
| بيانات النشر: | Copernicus Publications, 2013. |
| سنة النشر: | 2013 |
| المجموعة: | LCC:Science LCC:Physics LCC:Geophysics. Cosmic physics |
| مصطلحات موضوعية: | Science, Physics, QC1-999, Geophysics. Cosmic physics, QC801-809 |
| الوصف: | The fluctuation-dissipation theorem (FDT) has been proposed as a method of calculating the response of the earth's atmosphere to a forcing. For this problem the high dimensionality of the relevant data sets makes truncation necessary. Here we propose a method of truncation based upon the assumption that the response to a localised forcing is spatially localised, as an alternative to the standard method of choosing a number of the leading empirical orthogonal functions. For systems where this assumption holds, the response to any sufficiently small non-localised forcing may be estimated using a set of truncations that are chosen algorithmically. We test our algorithm using 36 and 72 variable versions of a stochastic Lorenz 95 system of ordinary differential equations. We find that, for long integrations, the bias in the response estimated by the FDT is reduced from ~75% of the true response to ~30%. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1023-5809 1607-7946 |
| Relation: | http://www.nonlin-processes-geophys.net/20/239/2013/npg-20-239-2013.pdf; https://doaj.org/toc/1023-5809; https://doaj.org/toc/1607-7946 |
| DOI: | 10.5194/npg-20-239-2013 |
| URL الوصول: | https://doaj.org/article/58bd51833e1e4d79831e3a4dddb5de75 |
| رقم الانضمام: | edsdoj.58bd51833e1e4d79831e3a4dddb5de75 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 10235809 16077946 |
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| DOI: | 10.5194/npg-20-239-2013 |