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arXiv physics/0412086physics.plasm-ph
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DC驱动的“阻挡”放电中的振荡:数值解、稳定性分析和phase diagram

Oscillations in DC driven "barrier" discharges: numerical solutions, stability analysis and phase diagram

Danijela D. Sijacic, Ute Ebert, Ismail Rafatov

摘要:

在平面电极之间夹有半导体层的短气体放电层显示出多种时空图案。本文着重于空间均匀自发振荡,而施加直流电压,这些均匀振荡的结果同样适用于平面放电串联与任何电阻电容。我们定义的极小模型,确定其独立的无量纲参数,然后提出的结果的全时变的数值解的模型以及线性稳定性分析的稳态。全数值解与稳定性分析结果吻合得很好。稳定性分析,然后用于计算分岔图。我们发现半定量协议与实验的图从固定到振荡的解决方案,以及发展中的极限环振荡的振幅和频率的分叉。

英文摘要:

A short gas discharge layer sandwiched with a semiconductor layer between planar electrodes shows a variety of spatio-temporal patterns. The paper focusses on the spatially homogeneous spontaneous oscillations while a DC voltage is applied; the results on these homogeneous oscillations apply equally to a planar discharge in series with any resistor with capacitance. We define the minimal model, identify its independent dimensionless parameters and then present results of the full time-dependent numerical solutions of the model as well as of a linear stability analysis of the stationary state. Full numerical solutions and the results of the stability analysis agree very well. The stability analysis is then used for calculating bifurcation diagrams. We find semi-quantitative agreement with experiment for the diagram of bifurcations from stationary to oscillating solutions as well as for amplitude and frequency of the developing limit cycle oscillations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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