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封闭容器中的局域钉扎态:无双稳性的同宿蜿蜒

Localized pinning states in closed containers: Homoclinic snaking without bistability.

作者信息

Mercader Isabel, Batiste Oriol, Alonso Arantxa, Knobloch Edgar

机构信息

Departament de Física Aplicada, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Aug;80(2 Pt 2):025201. doi: 10.1103/PhysRevE.80.025201. Epub 2009 Aug 20.

DOI:10.1103/PhysRevE.80.025201
PMID:19792185
Abstract

Binary mixtures with a negative separation ratio are known to exhibit time-independent spatially localized convection when heated from below. Numerical continuation of such states in a closed two-dimensional container with experimental boundary conditions and parameter values reveals the presence of a pinning region in Rayleigh number with multiple stable localized states but no bistability between the conduction state and an independent container-filling state. An explanation for this unusual behavior is offered.

摘要

已知具有负分离比的二元混合物在从下方加热时会表现出与时间无关的空间局部对流。在具有实验边界条件和参数值的封闭二维容器中对这些状态进行数值延拓,结果表明在瑞利数中存在一个钉扎区域,该区域具有多个稳定的局部状态,但在传导状态和独立的容器填充状态之间不存在双稳态。本文对此异常行为给出了解释。

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