Transition to a convective roll pattern as obtained from the stochastic center-manifold theory

Ariel Fernandez, Herschel Albert Rabitz

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

We prove that the transition to a convective pattern in a Rayleigh-Bénard cell with a step in the heat input can be obtained by restricting the system to the locally attractive and locally invariant center manifold in phase space. The problem of providing the adequate scaling factor for the random source in the order-parameter equation is solved and the theoretical findings reproduce satisfactorily the experimentally measured time dependence for the convective heat flow.

Original languageEnglish (US)
Pages (from-to)764-767
Number of pages4
JournalPhysical Review A
Volume35
Issue number2
DOIs
StatePublished - Jan 1 1987

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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