Über die Beziehung zwischen dem zweiten Hauptsatze der mechanischen Wärmetheorie und der Wahrscheinlichkeitsrechnung, respective den Sätzen über das Wärmegleichgewicht.¶
Boltzmann, L. (1877). Über die Beziehung zwischen dem zweiten Hauptsatze der mechanischen Wärmetheorie und der Wahrscheinlichkeitsrechnung, respective den Sätzen über das Wärmegleichgewicht. Wiener Berichte, 76, 373-435.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Entropy (Thermodynamic Sense)
- Statistical-counting principle / S = k log W — For an isolated system with Ω accessible microstates consistent with macroscopic constraints, Boltzmann entropy is S = k_B ln Ω (k_B = 1.38 × 10⁻²³ J/K)
This sourceRelates entropy to the logarithm of the number of accessible microstates (the relation later written S = k log W) and casts the second law as a probabilistic statement. [No stable DOI/publisher landing page for the original Wiener Berichte article; reprinted in Boltzmann, Wissenschaftliche Abhandlungen, vol. II (1909): 164–223.]
- Statistical-counting principle / S = k log W — For an isolated system with Ω accessible microstates consistent with macroscopic constraints, Boltzmann entropy is S = k_B ln Ω (k_B = 1.38 × 10⁻²³ J/K)
- Second Law of Thermodynamics
- The H-theorem and Boltzmann's probabilistic interpretation
This sourceDerives S = k log W, relating entropy to the logarithm of the number of accessible microstates; establishes second law as a probabilistic statement; shows that second law is a consequence of overwhelming dominance of high-entropy states; foundational for statistical mechanics.
- The H-theorem and Boltzmann's probabilistic interpretation
Verification¶
Does it exist? Not checked yet. This entry carries no identifier to resolve. It was extracted from the citation as written in the article, normalized, and deduplicated against the rest of the registry.
Does it back the claim? Not recorded. Neither this nor any other of the 2 citations of this work carries a recorded support check.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:81fe773c2275 · see in the full table