Derivation of a merging condition for two interacting streamers in air
Abstract
The simulation of the interaction of two simultaneously propagating air streamers of the same polarity is presented. A parametric study has been carried out using an accurate numerical method, which ensures a timespace error control of the solution. For initial separation of both streamers smaller than or comparable to the longest characteristic absorption length of photoionization in air, we have found that the streamers tend to merge at the moment when the ratio between their characteristic width and their mutual distance reaches a value of about 0.35 for positive streamers, and 0.4 for negative ones. Moreover, it is demonstrated that these ratios are practically independent of the applied electric field, the initial seed configuration, and the pressure.
 Publication:

Plasma Sources Science Technology
 Pub Date:
 October 2012
 DOI:
 10.1088/09630252/21/5/052001
 arXiv:
 arXiv:1208.0114
 Bibcode:
 2012PSST...21e2001B
 Keywords:

 Physics  Plasma Physics;
 Mathematics  Analysis of PDEs;
 Physics  Computational Physics
 EPrint:
 Plasma Sources Science and Technology 21 (5), 052001 (2012)