Zur Theorie der spezifischen Wärmen

Debye, P. (1912). Zur Theorie der spezifischen Wärmen. Annalen der Physik, 344(14), 789-839.

Type

Journal article

Intellectual base

Primary research

Year

1912

Volume

344

Issue

14

Pages

789-839

DOI

10.1002/andp.19123441404

DOI registrant

Wiley

Link

https://doi.org/10.1002/andp.19123441404

Cited from

physics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Degrees of Freedom
  • The equipartition law breaks down at low temperature, where quantum mechanics "freezes out" high-frequency degrees of freedom; Einstein (1907) captured this freezing

    This sourceGeneralizes the Einstein solid to a continuum phonon spectrum; lattice vibrational DOFs (3N modes) produce the Debye T³ law for specific heat at low temperature, unifying high-T equipartition with low-T quantum freezing.

Domain-specific

• Debye Model
  • Because a real solid with `N` atoms has only `3N` vibrational degrees of freedom, the continuum spectrum is truncated at a Debye frequency `ω_D` chosen so that the total number of modes is exactly `3N`.

Verification

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