Non-equilibrium thermodynamics as gauge fixing

Abstract

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.

15 pages, accepted version for publication in PTEP

References in corpus (1)

• Linear nonequilibrium thermodynamics of reversible periodic processes and chemical oscillations

Cited by in corpus (4)

• Quantum Thermodynamics of an ${\alpha }^{\prime }$-Corrected Reissner-Nordström Black Hole
• A Hamiltonian approach to the gradient-flow equations in information geometry
• Gravity Analog Model of Non-equilibrium Thermodynamics
• Geometric quantum thermodynamics: A fibre bundle approach