Propagation and Structure of Planar Streamer Fronts
arXiv:patt-sol/9702006 · doi:10.1103/PhysRevE.55.1530
Abstract
Streamers often constitute the first stage of dielectric breakdown in strong electric fields: a nonlinear ionization wave transforms a non-ionized medium into a weakly ionized nonequilibrium plasma. New understanding of this old phenomenon can be gained through modern concepts of (interfacial) pattern formation. As a first step towards an effective interface description, we determine the front width, solve the selection problem for planar fronts and calculate their properties. Our results are in good agreement with many features of recent three-dimensional numerical simulations. In the present long paper, you find the physics of the model and the interfacial approach further explained. As a first ingredient of this approach, we here analyze planar fronts, their profile and velocity. We encounter a selection problem, recall some knowledge about such problems and apply it to planar streamer fronts. We make analytical predictions on the selected front profile and velocity and confirm them numerically. (abbreviated abstract)
23 pages, revtex, 14 ps files
References in corpus (1)
Cited by in corpus (49)
- Front propagation into unstable states
- The physics of streamer discharge phenomena
- Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts
- Positive and negative streamers in ambient air: modeling evolution and velocities
- The multiscale nature of streamers
- Effects of Fluctuations on Propagating Fronts
- Positive streamers in air and nitrogen of varying density: experiments on similarity laws
- Experimental study on hard X-rays emitted from metre-scale negative discharges in air
- An adaptive grid refinement strategy for the simulation of negative streamers
- Experimental study of hard X-rays emitted from meter-scale positive discharges in air
- The Dynamics of Rapid Fracture: Instabilities, Nonlinearities and Length Scales
- Deviations from the local field approximation in negative streamer heads
- Diffusion correction to the avalanche--to--streamer transition
- Electron density fluctuations accelerate the branching of streamer discharges in air
- A comparison of 3D particle, fluid and hybrid simulations for negative streamers
- Branching of negative streamers in free flight
- Spatially hybrid computations for streamer discharges with generic features of pulled fronts: I. Planar fronts
- High order fluid model for streamer discharges: I. Derivation of model and transport data
- Universal algebraic relaxation of fronts propagating into an unstable state
- Tunneling-assisted impact ionization fronts in semiconductors
- Saffman-Taylor streamers: mutual finger interaction in an electric breakdown
- Numerical convergence of the branching time of negative streamers
- On the mechanism of branching in negative ionization fronts
- Breakdown of the standard Perturbation Theory and Moving Boundary Approximation for "Pulled" Fronts
- Stability of negative ionization fronts: regularization by electric screening?
- Streamer branching rationalized by conformal mapping techniques
- Spatiotemporal patterns in a DC semiconductor-gas-discharge system: stability analysis and full numerical solutions
- A computational study of accelerating, steady and fading negative streamers in ambient air
- Oscillations in DC driven "barrier" discharges: numerical solutions, stability analysis and phase diagram
- Regularization of moving boundaries in a Laplacian field by a mixed Dirichlet-Neumann boundary condition: exact results
- Dynamic avalanche breakdown of a p-n junction: deterministic triggering of a plane streamer front
- Construction and test of a moving boundary model for negative streamer discharges
- Wave train selection by invasion fronts in the FitzHugh--Nagumo equation
- A moving boundary problem motivated by electric breakdown: I. Spectrum of linear perturbations
- Effects of High Charge Densities in Multi-GEM Detectors
- Fluctuating "Pulled" Fronts: the Origin and the Effects of a Finite Particle Cutoff
- Asymptotically self-similar propagation of the spherical ionization waves
- Power laws and self-similar behavior in negative ionization fronts
- The onset of tree-like patterns in negative streamers
- Electric discharge contour dynamics model: the effects of curvature and finite conductivity
- Impact ionization fronts in Si diodes: Numerical evidence of superfast propagation due to nonlocalized preionization
- Impact ionization fronts in semiconductors: superfast propagation due to "nonlocalized" preionization
- Moving boundary approximation for curved streamer ionization fronts: Solvability analysis
- Contour dynamics model for electric discharges
- Spontaneous Branching of Anode-Directed Streamers between Planar Electrodes
- Moving boundary approximation for curved streamer ionization fronts: Numerical tests
- On negative streamers: a deterministic approach
- Interaction of streamers and stationary corrugated ionization waves in semiconductors
- Lateral instability in streamers discharges