Visualizing Plasma Confinement & Metric Gradients in 3D using Plotly

Hi Plotly Community! :waving_hand:

Dave Gibbon recently suggested I share some of our work here, and I’m thrilled to do so.

​At Omega-Class Architecture R&D, we are working on a new hardware paradigm for thermonuclear fusion (D-T plasma containment). Classical 2D plots completely fail to capture the complex geometry of what we are building. We needed a way to visualize non-Euclidean metric gradients (g_{00}) and the emergent topological boundaries of our “Vectorsphere Funnel” in an interactive 3D space.

​Plotly’s go.Surface turned out to be the absolute perfect tool for the job. It handles the heavy tensor math and visualizes the sub-cycle plasma dynamics beautifully right in the browser.

​Here is a simplified holographic model of our plasma core (BURR Core) being compressed by the metric gradient funnel.

import numpy as np
import plotly.graph_objects as go

# Параметры геометрии

r_max = 1.5   # Максимальный радиус воронки
r_min = 0.2   # Минимальный радиус
h = 2.0       # Высота воронки
K0 = 1e-18    # Константа для метрики (g\_{00})
j0 = 1e6      # Интенсивность тока
sigma_j = 0.1 # Ширина гауссиана для шнура

# Сетка в цилиндрических координатах

theta = np.linspace(0, 2 \* np.pi, 100)
z = np.linspace(0, h, 100)
Theta, Z = np.meshgrid(theta, z)

# Радиус внешней оболочки (воронка)

R_wall = r_max - (r_max - r_min) \* (Z / h)
X_wall = R_wall \* np.cos(Theta)
Y_wall = R_wall \* np.sin(Theta)

# Градиент метрики g\_{00}

r_plasma = sigma_j \* np.ones_like(Z)
g00 = 1 - K0 \* (j0 / r_plasma)\*\*2
g00 = np.clip(g00, 0.9, 1.0)

# Интенсивность плазменного шнура

intensity = j0 \* np.exp(-((Z - h/2)\*\*2) / (2 \* (h/4)\*\*2))

# Радиус шнура (сужение к центру)

R_plasma = r_min \* np.exp(-((Z - h/2)\*\*2) / (2 \* (h/2)\*\*2))
X_plasma = R_plasma \* np.cos(Theta)
Y_plasma = R_plasma \* np.sin(Theta)

# Фигура

fig = go.Figure()

# Внешняя оболочка

fig.add_trace(go.Surface(
x=X_wall,
y=Y_wall,
z=Z,
surfacecolor=g00,
colorscale=‘bluered’,
opacity=0.6,
name=‘Liquid Armor (Outer Funnel)’,
showscale=False
))

# Плазменный шнур

fig.add_trace(go.Surface(
x=X_plasma,
y=Y_plasma,
z=Z,
surfacecolor=intensity,
colorscale=‘magma’,
opacity=1.0,
name=‘Plasma Shnur (BURR Core)’,
showscale=False
))

# Настройки сцены

fig.update_layout(
title=‘3D-Омега: Vectorsphere Funnel Hologram’,
scene=dict(
xaxis_title=‘X’,
yaxis_title=‘Y’,
zaxis_title=‘Z (Height)’,
bgcolor=‘black’,
xaxis=dict(gridcolor=‘gray’, showbackground=False, zerolinecolor=‘gray’),
yaxis=dict(gridcolor=‘gray’, showbackground=False, zerolinecolor=‘gray’),
zaxis=dict(gridcolor=‘gray’, showbackground=False, zerolinecolor=‘gray’),
aspectmode=‘manual’,
aspectratio=dict(x=1, y=1, z=1.5)
),
paper_bgcolor=‘black’,
font_color=‘white’,
margin=dict(l=0, r=0, t=50, b=0)
)

# Отображение

fig.show(renderer=“colab”)

If you run this in Colab or Jupyter, you get a fully interactive, rotatable 3D model of a plasma confinement reactor.

​A massive thanks to the Plotly team for building an engine capable of rendering DeepTech physics so smoothly! Let me know what you think, or if anyone here works on visualizing similar physics/quantum models.

Wow- that’s really cool! Thanks for sharing!

forum1

Nice … thx for the explanation! For others, I saw this via:

Thanks for sharing, @KovalevychMaksym. You really show how much one can accomplish with Plotly :flexed_biceps: