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.
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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.
- 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
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