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Honeycomb hexagon pattern in dielectric barrier discharge
Lifang Dong1, Weili Liu, Hongfang Wang
1College of Physics Science & Technology, Hebei University, Baoding, 071002, China. Donglf@mail.hbu.edu.cn
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2007
Summary
A novel honeycomb hexagon pattern emerges in dielectric barrier discharge at higher voltages, transitioning from a square pattern. This complex superlattice structure results from the interplay of three transient hexagonal sublattices.
Area of Science:
- Plasma Physics
- Nonlinear Dynamics
- Materials Science
Background:
- Dielectric barrier discharges (DBDs) exhibit complex spatial patterns.
- Understanding pattern formation mechanisms is crucial for plasma applications.
- Previous studies identified square patterns, but transitions to more complex structures were less understood.
Purpose of the Study:
- To investigate the emergence and characteristics of a honeycomb hexagon pattern in DBDs.
- To analyze the transition from square to honeycomb hexagon patterns with increasing voltage.
- To elucidate the underlying physical mechanisms governing this pattern formation.
Main Methods:
- Experimental observation of patterns in dielectric barrier discharge.
- Systematic variation of applied voltage and gas composition.
- Analysis of spatial Fourier spectra to identify wave vectors.
- Correlation measurements of discharge filaments.
Main Results:
- A honeycomb hexagon pattern was observed to bifurcate from a square pattern as applied voltage increased.
- The spatial Fourier spectrum revealed a hexagonal superstructure, confirming a superlattice pattern.
- Correlation measurements indicated the pattern is an interleaving of three transient hexagonal sublattices.
- A triad resonance condition (k[over ]_{3};{s}-k[over ]_{2};{s}=k[over ]_{1};{h}) was identified among the wave modes.
Conclusions:
- The honeycomb hexagon pattern represents a complex superlattice structure in DBDs.
- This pattern arises from the resonant interaction of three distinct hexagonal wave modes.
- The findings provide new insights into pattern formation and control in gas discharges.
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