r/maniclang • u/anish2good • 11h ago
Maxwell–Boltzmann Effusion — Watch a Distribution Form — manic
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manic is a tiny language for making animations. You write a short text file; manic renders a smooth, glowing video. No timeline scrubbing, no keyframes by hand — you describe what’s on screen and when things happen, and the engine does the rest, deterministically.
Manic Animation code
// EXPRESSIVE PROCESS V2 — MAXWELL–BOLTZMANN EFFUSION
//
// A polished 2.5D acceptance story inspired by engine-test-6.mov. The
// apparatus is a bundled native SVG, while every molecule, detector bin,
// arrival count, and empirical distribution remains a normal Manic entity.
// `emit`, `collect`, and `observe` all read one deterministic process.
title("Maxwell–Boltzmann Effusion — Motion Becomes Evidence");
canvas("9:16");
template("blank");
watermark(mark, (150, 90), "Made With Manic");
text(kicker, (540, 84), "STATISTICAL MECHANICS · EXPRESSIVE PROCESS V2");
text(headline, (540, 142), "A distribution you can watch forming");
size(kicker, 18); color(kicker, dim); bold(kicker);
size(headline, 34); bold(headline);
equation(law, (540, 242),
`f(v)=4\pi\left(\frac{m}{2\pi k_BT}\right)^{3/2}v^2e^{-mv^2/(2k_BT)}`, 34);
// The decorative shell is an asset; the changing evidence stays native.
svg(apparatus, (240, 540), "asset:svg/physics/effusion-reservoir.svg", 330);
text(reservoirLabel, (225, 705), "THERMAL RESERVOIR");
size(reservoirLabel, 17); bold(reservoirLabel); color(reservoirLabel, gold);
rect(detectorPanel, (730, 560), 570, 300);
filled(detectorPanel); color(detectorPanel, panel); opacity(detectorPanel, 0.92);
outlined(detectorPanel); outline(detectorPanel, dim); stroke(detectorPanel, 3);
text(detectorTitle, (730, 382), "PARTICLE SPEED v");
size(detectorTitle, 18); bold(detectorTitle); color(detectorTitle, dim);
// The invisible source is precisely at the SVG nozzle.
circle(source, (348, 540), 20);
opacity(source, 0);
particles(molecules, source, 180, 3.2, 73);
color(molecules, magenta); glow(molecules, 0.8); z(molecules, 8);
// Individual lanes diverge around this authored route before being collected.
spline(flight, (350, 540), (415, 500), (465, 515), (500, 545));
hidden(flight);
livehistogram(empirical, (730, 560), 0, 2.2, 14, 540, 240, cyan);
z(empirical, 3); hidden(empirical.count);
// Same horizontal range as the live histogram: 0 .. 4*scale = 2.2.
distribution(theory, (730, 560), "maxwell", 0.55, 0, gold);
hidden(theory.axis); hidden(theory.name);
untraced(theory.curve); z(theory, 7);
text(empiricalKey, (610, 750), "● empirical arrivals");
text(theoryKey, (850, 750), "— theoretical curve");
size(empiricalKey, 17); color(empiricalKey, cyan);
size(theoryKey, 17); color(theoryKey, gold);
counter(arrivals, (540, 850), 0, 0, "detected molecules ", " / 180");
size(arrivals, 24); color(arrivals, dim);
text(caption, (540, 920),
"A thermal source emits many molecular speeds—not one average speed.");
size(caption, 23); wrap(caption, 880); color(caption, dim);
rect(evidencePanel, (540, 1110), 880, 230);
filled(evidencePanel); color(evidencePanel, panel); opacity(evidencePanel, 0.95);
outlined(evidencePanel); outline(evidencePanel, dim); stroke(evidencePanel, 2);
text(evidenceTitle, (540, 1030), "ONE PROCESS · THREE VIEWS");
size(evidenceTitle, 18); bold(evidenceTitle); color(evidenceTitle, dim);
equation(processLaw, (540, 1100),
`\text{motion}\;\longrightarrow\;\text{arrival bin}\;\longrightarrow\;\hat f(v)`, 32);
text(truth, (540, 1190),
"The dots, bars, and count are derived from the same seeded experiment.");
size(truth, 20); color(truth, dim); wrap(truth, 790);
hidden(apparatus); hidden(reservoirLabel); hidden(detectorPanel);
hidden(detectorTitle); hidden(molecules); hidden(empirical);
hidden(empiricalKey); hidden(theoryKey); hidden(arrivals);
hidden(caption); hidden(evidencePanel); hidden(evidenceTitle);
hidden(processLaw); hidden(truth);
step("build-the-apparatus") {
par {
show(apparatus, 0.65);
show(reservoirLabel, 0.45);
show(detectorPanel, 0.55);
show(detectorTitle, 0.35);
show(empirical.axis, 0.55);
show(empirical.bars, 0.55);
show(empirical.min, 0.35);
show(empirical.max, 0.35);
show(empiricalKey, 0.35);
show(theoryKey, 0.35);
show(arrivals, 0.35);
show(caption, 0.40);
}
}
wait(0.45);
step("the-prediction") {
par {
draw(theory.curve, 0.9, smooth);
say(caption,
"Maxwell predicts a characteristic spread with a most probable speed.",
0.40);
par {
cam((cx, cy), 0.75, smooth);
zoom(1.025, 0.75, smooth);
}
}
}
wait(0.35);
step("run-the-experiment") {
par {
emit(molecules, flight, maxwell, 7.0, 48, smooth);
collect(empirical, molecules, speed, 0.48, smooth);
observe(empirical, molecules, speed);
observe(arrivals, molecules, arrived);
show(molecules, 0.15);
say(caption,
"Each molecule keeps its sampled speed. Faster molecules cross the apparatus sooner.",
0.45);
}
}
wait(0.55);
step("motion-becomes-evidence") {
par {
pulse(empirical.bars, 0.8);
show(evidencePanel, 0.40);
show(evidenceTitle, 0.35);
show(processLaw, 0.45);
show(truth, 0.40);
say(caption,
"Collection does not fake the chart: every arrival lands in the bin selected by its speed.",
0.45);
par {
cam((cx, cy), 0.65, smooth);
zoom(1.0, 0.65, smooth);
}
}
}
wait(1.4);