Template:Table of thermodynamic potentials
From KYNNpedia
Name | Symbol | Formula | Natural variables |
---|---|---|---|
Internal energy | <math>U</math> | <math>\int \left( T \, \mathrm{d}S - p \, \mathrm{d}V + \sum_i \mu_i \mathrm{d}N_i \right)</math> | <math>S, V, \{N_i\}</math> |
Helmholtz free energy | <math>F</math> | <math>U - TS</math> | <math>T, V, \{N_i\}</math> |
Enthalpy | <math>H</math> | <math>U + pV</math> | <math>S, p, \{N_i\}</math> |
Gibbs free energy | <math>G</math> | <math>U + pV - TS</math> | <math>T, p, \{N_i\}</math> |
Landau potential, or grand potential |
<math>\Omega</math>, <math>\Phi_\text{G}</math> | <math>U - T S -</math><math>\sum_i\,</math><math>\mu_i N_i</math> | <math>T, V, \{\mu_i\}</math> |