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.
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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
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