**[Cr:4, Lc:3, Tt:1, Lb:0]**

Knowledge of the content of **PHY202** and **PHY304** is
essential to follow this course.

- Review of equilibrium thermodynamics: Laws of thermodynamics, Gibbs equation, Legendre transforms of thermodynamic potentials. Stability of equilibrium states.
- Classical Irreversible thermodynamics (CIT): Generalized forces and fluxes, Local equilibrium hypothesis, Onsagar reciprocity relations, stationary states, minimum entropy production, applications, limitations of CIT.
- Coupled transport phenomena: Thermoelectric effect, Seebeck effect, diffusion through a membrane.
- Finite-time thermodynamics: Finite time Carnot cycle, Generalized potentials, thermodynamic length, criteria for optimal performance. Quantum models of heat engines.
- Extended irreversible thermodynamics: Heat conduction, Fourier vs. Cattaneo's law, extended entropy, non-local terms, applications.

- G. Lebon, D. Jou and J. Casas-Vazquez, Understanding Non-equilibrium Thermodynamics, Springer (2008).
- H. B. Callen, Thermodynamics and an Introduction to Thermostatistics, 2nd edition, John Wiley and Sons (1985).
- I. Prigogine, Introduction to Thermodynamics of Irreversible Processes, 3rd edition, Interscience Publishers (1967).
- S. R. De Groot and P. Mazur, Non-equilibrium Thermodynamics, Dover Publications, New York (2011).