Weitere Studien über das Wärmegleichgewicht unter dem Gesichtspunkte der mechanischen Wärmetheorie.¶
Boltzmann, L. (1872). Weitere Studien über das Wärmegleichgewicht unter dem Gesichtspunkte der mechanischen Wärmetheorie. Wiener Berichte.
Cited by¶
5 citations across 5 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- 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.
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