Entropy: Microstates and Macrostates
受眾: University類別: Physics
簡介
Particles in a box start all on one side (ordered, low entropy). They spread randomly to fill the box. A microstate counter shows how many microstates correspond to each macrostate. The Boltzmann entropy formula S = k_B ln Ω is displayed.
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Entropy: Microstates and Macrostates
Description
Particles in a box start all on one side (ordered, low entropy). They spread randomly to fill the box. A microstate counter shows how many microstates correspond to each macrostate. The Boltzmann entropy formula S = k_B ln Ω is displayed.
Phases
| # | Phase Name | Duration | Description |
|---|---|---|---|
| 1 | Ordered State | 2s | All particles on left side, Ω = 1 |
| 2 | Spreading | 4s | Particles diffuse to fill box |
| 3 | Equilibrium | 2s | Particles evenly distributed, Ω = max |
| 4 | Microstate Counter | 2s | Show Ω values for ordered vs disordered |
| 5 | Formula | 2s | S = k_B ln Ω displayed |
Layout
+--------------------------------------------------+
| Entropy: Microstates & Macrostates |
| |
| [Box: ●●●●| ] Ω = 1 S = low |
| ↓ time |
| [Box: ●● | ●● ] Ω = 6 S = medium |
| ↓ time |
| [Box: ●●●● ] Ω = max S = high |
| (spread out) |
| |
| S = k_B ln Ω |
+--------------------------------------------------+
Area Descriptions
- Center: particle box animation
- Right: Ω counter and entropy bar
- Bottom: Boltzmann formula
Assets & Dependencies
- Fonts: LaTeX / sans-serif
- Manim version: ManimCE 0.19.1
Notes
- University level
- N = 8 particles for clarity
- Use random walk / diffusion for particle motion
- Entropy bar increases as particles spread