A simple stochastic model of a particle diffusing randomly in an external two-well potential is proposed to stimulate the onset of turbulence in a medium aspect ratio cylindrical Rayleigh-Bénard cell. The model is studied numerically and both time series and their power spectra are obtained. The results are compared with experimental data as well as with the results of deterministic models consisting of a finite number of interacting modes.
%0 Journal Article
%1 Greenside1982322
%A Greenside, H.S.
%A Ahlers, Guenter
%A Hohenberg, P.C.
%A Walden, R.W.
%D 1982
%J Physica D: Nonlinear Phenomena
%K convection model stochastic turbulence
%N 2–3
%P 322 - 334
%R http://dx.doi.org/10.1016/0167-2789(82)90026-4
%T A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection
%U http://www.sciencedirect.com/science/article/pii/0167278982900264
%V 5
%X A simple stochastic model of a particle diffusing randomly in an external two-well potential is proposed to stimulate the onset of turbulence in a medium aspect ratio cylindrical Rayleigh-Bénard cell. The model is studied numerically and both time series and their power spectra are obtained. The results are compared with experimental data as well as with the results of deterministic models consisting of a finite number of interacting modes.
@article{Greenside1982322,
abstract = {A simple stochastic model of a particle diffusing randomly in an external two-well potential is proposed to stimulate the onset of turbulence in a medium aspect ratio cylindrical Rayleigh-Bénard cell. The model is studied numerically and both time series and their power spectra are obtained. The results are compared with experimental data as well as with the results of deterministic models consisting of a finite number of interacting modes. },
added-at = {2015-01-14T14:41:37.000+0100},
author = {Greenside, H.S. and Ahlers, Guenter and Hohenberg, P.C. and Walden, R.W.},
biburl = {https://www.bibsonomy.org/bibtex/20606411baf609c060f8653e10b0f82fb/adisaurabh},
doi = {http://dx.doi.org/10.1016/0167-2789(82)90026-4},
interhash = {d206a7512c10da722a32f675d4ba121a},
intrahash = {0606411baf609c060f8653e10b0f82fb},
issn = {0167-2789},
journal = {Physica D: Nonlinear Phenomena },
keywords = {convection model stochastic turbulence},
number = {2–3},
pages = {322 - 334},
timestamp = {2015-01-14T14:41:37.000+0100},
title = {A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection },
url = {http://www.sciencedirect.com/science/article/pii/0167278982900264},
volume = 5,
year = 1982
}