Defects and spatiotemporal disorder in a pattern of falling liquid columns
2004 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 70, no 4, 046207- p.Article in journal (Refereed) Published
Disordered regimes of a one-dimensional pattern of liquid columns hanging below an overflowing circular dish are investigated experimentally. The interaction of two basic dynamical modes (oscillations and drift) combined with the occurrence of defects (birth of new columns, disappearances by coalescences of two columns) leads to spatiotemporal chaos. When the flow rate is progressively increased, a continuous transition between transient and permanent chaos is pointed into evidence. We introduce the rate of defects as the sole relevant quantity to quantify this "turbulence" without ambiguity. Statistics on both transient and endlessly chaotic regimes enable to define a critical flow rate around which exponents are extracted. Comparisons are drawn with other interfacial pattern-forming systems, where transition towards chaos follows similar steps. Qualitatively, careful examinations of the global dynamics show that the contamination processes are nonlocal and involve the propagation of blocks of elementary laminar states (such as propagative domains or local oscillations), emitted near the defects, which turn out to be essential ingredients of this self-sustained disorder.
Place, publisher, year, edition, pages
2004. Vol. 70, no 4, 046207- p.
kuramoto-sivashinsky equation, rayleigh-benard convection, cellular-patterns, intermittency, transition, turbulence, chaos, instability, oscillations, dynamics
IdentifiersURN: urn:nbn:se:kth:diva-40499DOI: 10.1103/PhysRevE.70.046207ISI: 000225689600050ScopusID: 2-s2.0-37649028602OAI: oai:DiVA.org:kth-40499DiVA: diva2:442707
QC 201109222011-09-222011-09-162011-09-30Bibliographically approved