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Oscillations in dc driven barrier discharges: numerical solutions, stability analysis, and phase diagram
Danijela D Sijacić1, Ute Ebert, Ismail Rafatov
1CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands.
Summary
This study investigates spontaneous temporal oscillations in a gas-discharge and semiconductor system. Researchers developed a minimal model, validated it with numerical solutions and stability analysis, and found good agreement with experimental results.
Area of Science:
- Plasma physics
- Condensed matter physics
- Nonlinear dynamics
Background:
- Gas-discharge layers sandwiched with semiconductor layers exhibit complex spatiotemporal patterns.
- Spontaneous temporal oscillations occur under applied DC voltage in spatially homogeneous systems.
- These findings are relevant to planar discharges in series with resistive-capacitive circuits.
Purpose of the Study:
- To define a minimal model for spontaneous temporal oscillations in a gas-discharge and semiconductor system.
- To analyze the system's behavior using numerical solutions and linear stability analysis.
- To compare theoretical predictions with experimental observations, particularly bifurcation diagrams and oscillation characteristics.
Main Methods:
- Development of a minimal theoretical model.
- Identification of independent dimensionless parameters governing the system.
- Time-dependent numerical solutions of the model.
- Linear stability analysis of the stationary state.
- Calculation of bifurcation diagrams.
Main Results:
- Full numerical solutions and linear stability analysis show strong agreement.
- The stability analysis accurately predicts bifurcation diagrams from stationary to oscillating states.
- Semiquantitative agreement was found between theoretical predictions and experimental data for oscillation amplitude and frequency.
Conclusions:
- The minimal model effectively captures the essential dynamics of temporal oscillations.
- Linear stability analysis is a powerful tool for understanding bifurcations in this system.
- The study provides a validated theoretical framework for analyzing complex behaviors in gas-discharge semiconductor systems.
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