Weitere Studien über das Wärmegleichgewicht unter dem Gesichtspunkte der mechanischen Wärmetheorie.¶
Boltzmann, L. (1968). Weitere Studien über das Wärmegleichgewicht unter dem Gesichtspunkte der mechanischen Wärmetheorie. Wissenschaftliche Abhandlungen (Collected Scientific Papers), 66, 275-370.
Cited by¶
8 citations across 8 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.
- 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
- Irreversibility
- The mathematical and physical foundations of irreversibility rest on statistical mechanics
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 H-theorem is the central bridge between reversible microscopic dynamics and irreversible macroscopic behavior. Cross-linked with `second_law_of_thermodynamics` and `entropy_thermodynamic_sense`.
- The mathematical and physical foundations of irreversibility rest on statistical mechanics
- Phase Space
- Hamiltonian systems preserve phase-space volume (Liouville's theorem); yet macroscopic systems exhibit irreversibility and entropy growth.
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 H-theorem is the central bridge between reversible microscopic dynamics and irreversible macroscopic behavior. Cross-linked with `second_law_of_thermodynamics` and `entropy_thermodynamic_sense`.
- Hamiltonian systems preserve phase-space volume (Liouville's theorem); yet macroscopic systems exhibit irreversibility and entropy growth.
- Second Law of Thermodynamics
- with statistical foundation from Boltzmann
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 H-theorem is the central bridge between reversible microscopic dynamics and irreversible macroscopic behavior. Cross-linked with `second_law_of_thermodynamics` and `entropy_thermodynamic_sense`.
- with statistical foundation from Boltzmann
- Thermodynamic Equilibrium
- The essential commitment is that macroscopic systems left alone under fixed external constraints relax to a unique (or, in cases of phase coexistence, a well-characterized) state in which thermal, mechanical, and chemical equilibrium all hold simultaneously, and that this equilibrium state is statistically characterized by specific probability distributions over microstates (the equilibrium ensembles of statistical mechanics)
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 H-theorem is the central bridge between reversible microscopic dynamics and irreversible macroscopic behavior. Cross-linked with `second_law_of_thermodynamics` and `entropy_thermodynamic_sense`.
- The essential commitment is that macroscopic systems left alone under fixed external constraints relax to a unique (or, in cases of phase coexistence, a well-characterized) state in which thermal, mechanical, and chemical equilibrium all hold simultaneously, and that this equilibrium state is statistically characterized by specific probability distributions over microstates (the equilibrium ensembles of statistical mechanics)
- Uniformitarianism
- Uniformitarianism is a mechanism-level claim about process types.
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 H-theorem is the central bridge between reversible microscopic dynamics and irreversible macroscopic behavior. Cross-linked with `second_law_of_thermodynamics` and `entropy_thermodynamic_sense`.
- Uniformitarianism is a mechanism-level claim about process types.
Verification¶
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Links previously used in the corpus¶
Before the registry existed this work was also linked 1 other way.
Registry ID ref:e629e04ba1a2 · see in the full table