A teaching tape for LQ-05, Independent Configurations and Boltzmann Entropy
The locked positions
Demonstrates that the probability is (V/V0)^n only when the points are independent; rigidly locked points give V/V0.
Open LQ-05 with these settings
Where it starts
| Setting | Value |
|---|---|
| Number of Particles (n) | 10 |
| Subvolume Fraction (f) | 0.5 |
| Sampling Trials (trials) | 10000 |
What it changes, and what to expect
Step 1
Ten independent particles in half a volume
With 10 independent points, W = (1/2)^10 = 1/1024.
What the author recorded that a reader should see here. Quantity Expected Under W (independent) 0.0009765625 1 modern-si-2019 Set Number of Particles (n) to 60 changes what the run starts from
Ten locked particles moving rigidly
When the 10 points are rigidly locked, W = 1/2.
What the author recorded that a reader should see here. Quantity Expected Under W (locked) 0.5 1 modern-si-2019
These are the values the tape's author recorded, not a result this page computed. Nothing here runs the instrument. Open LQ-05 with these settings: the link opens it with them already in place. Compare what it gives you with what is recorded here. The settings travel in the link and the laboratory reads them as it loads, so without JavaScript it opens at its worked example instead.