Non-equilibrium thermodynamics as gauge fixing

By considering a thermodynamic force as gauge field, we extend constitutive equations of Onsager’s non-equilibrium thermodynamics to non-linear equations. In Onsager’s non-equilibrium thermodynamics, the thermodynamic force corresponds to a pure gauge, for which the constitutive equations are obtained by gauge fixing. If we extend the thermodynamic force from pure gauge to physical one, we obtain the non-linear constitutive equations of non-equilibrium thermodynamics.