Discover how plasma tendril models simulate dielectric breakdown, electric potential fields, and organic branching mechanics in ionized gases.
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Reflect the investigation into how changing growth exponents alters filament structure under Laplace field conditions.
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From Laplace Fields to Lightning Strikes: How Plasma Tendrils Form
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}}%%
graph TD
%% Core Domain Node %%
Start["โก <b>Current Research Domain</b><br/>Computational Plasma DBM Modeling"]:::current
%% Baseline Pipeline %%
subgraph Baseline ["<b>๐ Current Pipeline</b>"]
SolveLaplace("๐งฎ <b>Field Solver Method</b><br/>Iterative SOR Field Solver<br/><i>โยฒฯ = 0</i>"):::current
Growth("๐ฑ <b>Growth Mechanism</b><br/>Stochastic Filament Growth<br/><i>P โ ฮฆโฟ</i>"):::current
Anim("๐ <b>Visualization Output</b><br/>Matplotlib Animations<br/><i>61x61 to 121x121 Grid</i>"):::current
end
%% Decision Nodes %%
OptimizeDec{"<b>Performance<br/>Constraint?</b>"}:::decision
PhysicsDec{"<b>Physics<br/>Expansion?</b>"}:::decision
AnalyzeDec{"<b>Analysis<br/>Goal?</b>"}:::decision
%% Future Pathways Subgraphs %%
subgraph Acceleration ["<b>๐ Acceleration & Scaling</b>"]
Grid("<b>Adaptive Mesh Refinement</b><br/>& GPU Porting"):::accentGreen
Solver3D("<b>3D DBM Extensions</b><br/><i>NxNxN Grid</i>"):::accentGreen
end
subgraph AdvancedPhysics ["<b>๐ฌ Advanced Physics Modeling</b>"]
NewMedia("<b>Non-Uniform Dielectrics</b><br/>& Gas Dynamics"):::accentAmber
Poisson("<b>Poisson Solver Integration</b><br/><i>โยฒฯ = -ฯ/ฮตโ</i>"):::accentAmber
end
subgraph QuantAnalysis ["<b>๐ Quantitative Analysis</b>"]
Fractal("<b>Quantitative Fractal</b><br/>Dimension Analysis"):::accentPink
end
%% Flow Connections %%
Start --> SolveLaplace
SolveLaplace --> Growth
Growth --> Anim
Start -.-> OptimizeDec
Start -.-> PhysicsDec
Start -.-> AnalyzeDec
OptimizeDec -- "Yes" --> Grid
Grid --> Solver3D
PhysicsDec -- "Physical Media" --> NewMedia
NewMedia --> Poisson
AnalyzeDec -- "Yes" --> Fractal
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