Debye Solid Heat Capacity

Connect an acoustic mode spectrum to the cubic low-temperature heat capacity.

Experiment

You can interact with the Debye Solid Heat Capacity module to explore these behaviors interactively.

1. Set the Reduced temperature to 0.1. Notice how the Debye model output gives a significantly higher heat capacity than the Einstein model, reflecting the contribution of low-frequency acoustic phonons.
2. Change the Reduced temperature to 2. Observe that both models approach the classical limit C / (3Nk_B) → 1, where all phonon modes are fully thermally excited.
3. Modify the Debye temperature K. This shifts the Actual temperature K proportionally without changing the normalized heat capacity C/(3Nk_B) because the physics depends only on the ratio τ = T / \theta_D.