Complex dynamics of a dc glow discharge tube: Experimental modeling and stability diagrams

Year: 2015

Authors: Pugliese E., Meucci R., Euzzor S., Freire J.G., Gallas J.A.C.

Autors Affiliation: CNR, Ist Nazl Ott, I-50125 Florence, Italy; CNR, Ist Nazl Ott, I-50125 Florence, Italy; Univ Fed Paraiba, Dept Fis, BR-58051970 Joao Pessoa, Paraiba, Brazil; Univ Lisbon, Fac Ciencias, CELC, Dept Matemat, P-1749016 Lisbon, Portugal; Inst Altos Estudos Paraiba, BR-58039150 Joao Pessoa, Paraiba, Brazil; Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany.

Abstract: We report a detailed experimental study of the complex behavior of a dc low-pressure plasma discharge tube of the type commonly used in commercial illuminated signs, in a microfluidic chip recently proposed for visible analog computing, and other practical devices. Our experiments reveal a clear quasiperiodicity route to chaos, the two competing frequencies being the relaxation frequency and the plasma eigenfrequency. Based on an experimental volt-ampere characterization of the discharge, we propose a macroscopic model of the current flowing in the plasma. The model, governed by four autonomous ordinary differential equations, is used to compute stability diagrams for periodic oscillations of arbitrary period in the control parameter space of the discharge. Such diagrams show self-pulsations to emerge remarkably organized into intricate mosaics of stability phases with extended regions of multistability (overlap). Specific mosaics are predicted for the four dynamical variables of the discharge. Their experimental observation is an open challenge.

Journal/Review: SCIENTIFIC REPORTS

Volume: 5      Pages from: 8447-1  to: 8447-8

More Information: E.P. and R.M. thank Professor F.T. Arecchi for many discussions during this work. They also thank K.G. Mishagin, O. Kanakov and K. Al-Naimee for helpful discussions during the early stage of the experiment and its modelization, and Fondazione Ente Cassa di Risparmio di Firenze for financial support. J.G.F. was supported by the Post-Doctoral grant SFRH/BPD/43608/2008 from FCT, Portugal. J.A.C.G. thanks support from CNPq, Brazil. All bitmaps were computed at the CESUP-UFRGS clusters, in Porto Alegre, Brazil. This work was supported by the Max-Planck Institute for the Physics of Complex Systems, Dresden, in the framework of the Advanced Study Group on Optical Rare Events.
KeyWords: Plasma physics; Lasers; Leds and light sources; Phase synchronization; Chaos
DOI: 10.1038/srep08447

Citations: 28
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