# Technical Document Extraction: Heatmap Visualization of K₂ and E_F Parameters ## Panel (b): K₂ with E_F = +0.035t - **Title**: `(b) K₂: E_F = +0.035t` - **Axes**: - **X-axis**: `length (nm)` (range: -40 to +40 nm, arrow pointing right) - **Y-axis**: `width (nm)` (range: -10 to +10 nm) - **Color Scale**: - **Legend**: Right of panel, gradient from `0.0` (white) to `0.4` (red) - **Intensity**: Represents magnitude of K₂ parameter (higher values = redder regions) - **Key Features**: - Symmetric flow patterns along the length axis. - Concentrated intensity near the center (width ≈ 0 nm). - Gradual decay of intensity toward the edges (width ≈ ±10 nm). ## Panel (d): K₂ with E_F = -0.035t - **Title**: `(d) K₂: E_F = -0.035t` - **Axes**: - **X-axis**: `length (nm)` (range: -40 to +40 nm, arrow pointing right) - **Y-axis**: `width (nm)` (range: -10 to +10 nm) - **Color Scale**: - **Legend**: Right of panel, gradient from `0.0` (white) to `0.3` (red) - **Intensity**: Represents magnitude of K₂ parameter (higher values = redder regions) - **Key Features**: - Asymmetric flow patterns with alternating high/low intensity regions. - Two distinct intensity peaks near the center (width ≈ ±5 nm). - Reduced overall intensity compared to panel (b). ## Cross-Reference Analysis - **Legend Consistency**: - Panel (b) uses a broader color scale (0.0–0.4) than panel (d) (0.0–0.3), reflecting differing parameter ranges. - Red regions in both panels correspond to the highest measured K₂ values under their respective E_F conditions. - **Flow Direction**: - Arrows on the x-axis confirm data flow from left (-40 nm) to right (+40 nm). - No explicit flow vectors in the heatmaps; intensity gradients imply directional trends. ## Observations 1. **E_F Influence**: - Positive E_F (+0.035t) in panel (b) produces more uniform intensity distribution. - Negative E_F (-0.035t) in panel (d) introduces asymmetry and localized intensity peaks. 2. **Parameter Sensitivity**: - K₂ values are highly dependent on the sign and magnitude of E_F. - Intensity thresholds (color scale maxima) vary between panels, suggesting differing measurement scales or normalization. ## Notes - No explicit data table or numerical values are provided; interpretation relies on color gradients and axis labels. - Time dependence (`t`) in E_F suggests dynamic conditions, though temporal resolution is not visualized.