Blue sky catastrophe in double-diffusive convection
A global bifurcation of the blue sky catastrophe type has been found in a small Prandtl number binary mixture contained in a laterally heated cavity. The system has been studied numerically applying the tools of bifurcation theory. The catastrophe corresponds to the destruction of an orbit which, fo...
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Veröffentlicht in: | Physical review letters 2004-06, Vol.92 (23), p.234501.1-234501.4, Article 234501 |
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creator | MECA, Esteban MERCADER, Isabel BATISTE, Oriol RAMIREZ-PISCINA, Laureano |
description | A global bifurcation of the blue sky catastrophe type has been found in a small Prandtl number binary mixture contained in a laterally heated cavity. The system has been studied numerically applying the tools of bifurcation theory. The catastrophe corresponds to the destruction of an orbit which, for a large range of Rayleigh numbers, is the only stable solution. This orbit is born in a global saddle-loop bifurcation and becomes chaotic in a period-doubling cascade just before its disappearance at the blue sky catastrophe. |
doi_str_mv | 10.1103/PhysRevLett.92.234501 |
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The system has been studied numerically applying the tools of bifurcation theory. The catastrophe corresponds to the destruction of an orbit which, for a large range of Rayleigh numbers, is the only stable solution. 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The system has been studied numerically applying the tools of bifurcation theory. The catastrophe corresponds to the destruction of an orbit which, for a large range of Rayleigh numbers, is the only stable solution. This orbit is born in a global saddle-loop bifurcation and becomes chaotic in a period-doubling cascade just before its disappearance at the blue sky catastrophe.</description><subject>Chaos</subject><subject>Convection and heat transfer</subject><subject>Exact sciences and technology</subject><subject>Fluid dynamics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Hydrodynamic stability</subject><subject>Nonlinearity (including bifurcation theory)</subject><subject>Physics</subject><subject>Turbulent flows, convection, and heat transfer</subject><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><recordid>eNpNkMtOwzAQRS0EoqXwCaBsYJcyYyd2vISKl1QJhGBtOc5EDaRJsZNK_XuCGomuZnPuvaPD2CXCHBHE7dtqF95pu6Sum2s-5yJJAY_YFEHpWCEmx2wKIDDWAGrCzkL4AgDkMjtlE0x5kqLEKRP3dU9R-N5FznY2dL7drCiqmqho-7ymuKjKsg_VliLXNltyXdU25-yktHWgi_HO2Ofjw8fiOV6-Pr0s7paxEyLtYrSaEllgKRKrpSONEnhaSgV5ZslKxZUUdvjXciWUyHOwhUhVpnKZCVK5mLGbfe_Gtz89hc6sq-Corm1DbR-MHKpQSDmA6R50vg3BU2k2vlpbvzMI5s-WObBlNDd7W0Puahzo8zUV_6lRzwBcj4ANztalt42rwgGnE4AExC8gJHSp</recordid><startdate>20040611</startdate><enddate>20040611</enddate><creator>MECA, Esteban</creator><creator>MERCADER, Isabel</creator><creator>BATISTE, Oriol</creator><creator>RAMIREZ-PISCINA, Laureano</creator><general>American Physical Society</general><scope>IQODW</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>20040611</creationdate><title>Blue sky catastrophe in double-diffusive convection</title><author>MECA, Esteban ; MERCADER, Isabel ; BATISTE, Oriol ; RAMIREZ-PISCINA, Laureano</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c335t-1a9e46d1f34a96ce916025f670b8aea672763a107a27373bb0ad35787b683e7b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Chaos</topic><topic>Convection and heat transfer</topic><topic>Exact sciences and technology</topic><topic>Fluid dynamics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Hydrodynamic stability</topic><topic>Nonlinearity (including bifurcation theory)</topic><topic>Physics</topic><topic>Turbulent flows, convection, and heat transfer</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>MECA, Esteban</creatorcontrib><creatorcontrib>MERCADER, Isabel</creatorcontrib><creatorcontrib>BATISTE, Oriol</creatorcontrib><creatorcontrib>RAMIREZ-PISCINA, Laureano</creatorcontrib><collection>Pascal-Francis</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Physical review letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>MECA, Esteban</au><au>MERCADER, Isabel</au><au>BATISTE, Oriol</au><au>RAMIREZ-PISCINA, Laureano</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Blue sky catastrophe in double-diffusive convection</atitle><jtitle>Physical review letters</jtitle><addtitle>Phys Rev Lett</addtitle><date>2004-06-11</date><risdate>2004</risdate><volume>92</volume><issue>23</issue><spage>234501.1</spage><epage>234501.4</epage><pages>234501.1-234501.4</pages><artnum>234501</artnum><issn>0031-9007</issn><eissn>1079-7114</eissn><coden>PRLTAO</coden><abstract>A global bifurcation of the blue sky catastrophe type has been found in a small Prandtl number binary mixture contained in a laterally heated cavity. The system has been studied numerically applying the tools of bifurcation theory. The catastrophe corresponds to the destruction of an orbit which, for a large range of Rayleigh numbers, is the only stable solution. This orbit is born in a global saddle-loop bifurcation and becomes chaotic in a period-doubling cascade just before its disappearance at the blue sky catastrophe.</abstract><cop>Ridge, NY</cop><pub>American Physical Society</pub><pmid>15245161</pmid><doi>10.1103/PhysRevLett.92.234501</doi><tpages>1</tpages></addata></record> |
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subjects | Chaos Convection and heat transfer Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Hydrodynamic stability Nonlinearity (including bifurcation theory) Physics Turbulent flows, convection, and heat transfer |
title | Blue sky catastrophe in double-diffusive convection |
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