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the claim

Liouville's theorem is compatible with the second law of thermodynamics.

the verdict

SUPPORTED

the evidence backs this

confidence 78/100

Liouville's theorem governs phase space volume conservation in Hamiltonian mechanics, and statistical mechanics reconciles this reversible microscopic behavior with the irreversible entropy increase dictated by the second law of thermodynamics.

Evidence for · 2

Asymmetry, Abstraction, and Autonomy: Justifying Coarse-Graining in Statistical Mechanics.

2020 · cited by 2

Paper [5] discusses how microscopic time-reversal-invariant laws, including those underlying statistical mechanics, are reconciled with macroscopic irreversibility.

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More for · 1

Revisions of the Phenomenological and Statistical Statements of the Second Law of Thermodynamics.

2024 · cited by 0

Paper [7] reviews the historical relationship between Liouville's equation, the H-theorem, and the statistical foundations of the second law of thermodynamics.

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first checked01 Aug 2026

judged → SUPPORTED · 7801 Aug 2026

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