A Method of Geometrical Representation of the Thermodynamic Properties of Substances by Means of Surfaces.¶
Gibbs, J. W. (1873). A Method of Geometrical Representation of the Thermodynamic Properties of Substances by Means of Surfaces. Transactions of the Connecticut Academy, 2, 382-404.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Phase Diagram
- Equilibrium thermodynamics governs coexistence: along a boundary, coexisting phases share equal values of conjugate potentials (chemical potential, Gibbs free energy), a principle encoded in the Clausius-Clapeyron relation and the Gibbs phase rule F = C − P + 2, where F is the degrees of freedom, C the number of components, and P the number of phases.
This sourceDevelops geometric representation of thermodynamic surfaces and equilibrium states; establishes the variational principle that equilibrium corresponds to extremal thermodynamic potentials under appropriate constraints.
- Equilibrium thermodynamics governs coexistence: along a boundary, coexisting phases share equal values of conjugate potentials (chemical potential, Gibbs free energy), a principle encoded in the Clausius-Clapeyron relation and the Gibbs phase rule F = C − P + 2, where F is the degrees of freedom, C the number of components, and P the number of phases.
- Thermodynamic Equilibrium
- Equilibrium state / no-net-flow regime — an isolated system of fixed E, V, N evolves to the equilibrium state with maximum entropy S(E, V, N) — the microcanonical ensemble distributes probability uniformly over all microstates consistent with the constraints
This sourceDevelops geometric representation of thermodynamic surfaces and equilibrium states; establishes the variational principle that equilibrium corresponds to extremal thermodynamic potentials under appropriate constraints.
- Equilibrium state / no-net-flow regime — an isolated system of fixed E, V, N evolves to the equilibrium state with maximum entropy S(E, V, N) — the microcanonical ensemble distributes probability uniformly over all microstates consistent with the constraints
Verification¶
Does it exist? Not checked yet. This entry carries no identifier to resolve. It was extracted from the citation as written in the article, normalized, and deduplicated against the rest of the registry.
Does it back the claim? Not recorded. Neither this nor any other of the 2 citations of this work carries a recorded support check.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:82f63fee8886 · see in the full table