Linked from

The 11 pages that link to Legendre transform, each with the reason it gives.

• Chemical potentialRelated: Thermodynamic potentials are transformed to suit fixed conditions, yielding conjugate chemical variables.

• Hamiltonian mechanicsRelated: It converts a regular Lagrangian into a Hamiltonian function.

• Lagrangian mechanicsRelated: It converts the Lagrangian description into the Hamiltonian formulation.

• Convex functionRelated: It converts convex functions into dual descriptions used in mechanics and optimization.

• Thermodynamic potentialRelated: Legendre transforms generate potentials suited to different controlled variables.

• Free energyRelated: Free-energy potentials arise by exchanging entropy or volume constraints for temperature or pressure.

• Helmholtz free energyRelated: The transformation from internal energy to Helmholtz free energy replaces entropy with temperature.

• Maxwell relationsRelated: Changing potentials by Legendre transformation changes the natural variables and the corresponding relations.

• Hamiltonian systemRelated: It commonly converts a Lagrangian into the Hamiltonian.

• Gibbs–Helmholtz equationRelated: It explains how Gibbs energy is constructed from internal energy.