Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen.¶
Boltzmann, L. (1872). Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen. Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften (Wien), 66, 275-370.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Dissipation
- It separates two states (the system holding usable structure and the system having released it to the bath) and names the one-way mechanism by which the first becomes the second.
This sourceIntroduces the H-theorem: a proof that the quantity H (negative of thermodynamic entropy) monotonically decreases for an isolated system, establishing the statistical foundation of irreversibility and the approach to equilibrium from non-equilibrium — the central bridge between reversible microscopic dynamics and irreversible macroscopic behavior.
- It separates two states (the system holding usable structure and the system having released it to the bath) and names the one-way mechanism by which the first becomes the second.
- Entropy (Thermodynamic Sense)
This sourceIntroduces the Boltzmann transport equation and the H-theorem (H = ∫ f ln f d³v monotonically decreases), the statistical foundation of irreversible approach to equilibrium. Bibliography-only in this prime.
- Equilibrium
- Physics and chemistry Mechanical equilibrium (net force = 0), thermal equilibrium (no net heat flow), chemical equilibrium (forward and reverse reaction rates equal). Thermodynamic equilibrium as a maximum-entropy state given constraints. Boltzmann's H-theorem
This sourceIntroduces the H-theorem: the functional H (≈ negative entropy) decreases monotonically for a dilute gas (dH/dt ≤ 0), with equality only at the Maxwell–Boltzmann distribution — proving the irreversible approach to equilibrium from a non-equilibrium initial state via collisions.
- Physics and chemistry Mechanical equilibrium (net force = 0), thermal equilibrium (no net heat flow), chemical equilibrium (forward and reverse reaction rates equal). Thermodynamic equilibrium as a maximum-entropy state given constraints. Boltzmann's H-theorem
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