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Spontaneous Branching of Anode-Directed Streamers between Planar Electrodes | Manuel Arrayas
; Ute Ebert
; Willem Hundsdorfer
; | Date: |
19 Nov 2001 | Journal: | Phys. Rev. Lett. 88, 174502 (2002), see also http://focus.aps.org/v9/st19.html and http://www.nature.com/nsu/020408/020408-4.html | Subject: | Pattern Formation and Solitons; Plasma Physics; Materials Science | nlin.PS cond-mat.mtrl-sci physics.plasm-ph | Affiliation: | CWI Amsterdam, Instituut-Lorentz Leiden | Abstract: | Non-ionized media subject to strong fields can become locally ionized by penetration of finger-shaped streamers. We study negative streamers between planar electrodes in a simple deterministic continuum approximation. We observe that for sufficiently large fields, the streamer tip can split. This happens close to Firsov’s limit of `ideal conductivity’. Qualitatively the tip splitting is due to a Laplacian instability quite like in viscous fingering. For future quantitative analytical progress, our stability analysis of planar fronts identifies the screening length as a regularization mechanism. | Source: | arXiv, nlin.PS/0111043 | Other source: | [GID 525927] pmid12005763 | Services: | Forum | Review | PDF | Favorites |
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