Elastic properties of cellular dissipative structure
| dc.creator | Brunet, Philippe | |
| dc.creator | Flesselles, Jean-Marc | |
| dc.creator | Limat, Laurent | |
| dc.date | 2003-10-02 | |
| dc.date.accessioned | 2026-07-07T02:53:56Z | |
| dc.date.available | 2026-07-07T02:53:56Z | |
| dc.description | Transition towards spatio-temporal chaos in one-dimensional interfacial patterns often involves two degrees of freedom: drift and out-of-phase oscillations of cells, respectively associated to parity breaking and vacillating-breathing secondary bifurcations. In this paper, the interaction between these two modes is investigated in the case of a single domain propagating along a circular array of liquid jets. As observed by Michalland and Rabaud for the printer's instability \cite{Rabaud92}, the velocity $V_g$ of a constant width domain is linked to the angular frequency $ω$ of oscillations and to the spacing between columns $λ_0$ by the relationship $ V_g = αλ_0 ω$. We show by a simple geometrical argument that $α$ should be close to $1/ π$ instead of the initial value $α= 1/2$ deduced from their analogy with phonons. This fact is in quantitative agreement with our data, with a slight deviation increasing with flow rate. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0310029 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0310029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22353 | |
| dc.subject | Condensed Matter | |
| dc.title | Elastic properties of cellular dissipative structure | |
| dc.type | text |