Thermodynamic phase transitions and shock singularities

Giuseppe de Nittis, Antonio Moro

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


We show that, under rather general assumptions on the form of the entropy function, the energy balance equation for a system in thermodynamic equilibrium is equivalent to a set of nonlinear equations of hydrodynamic type. This set of equations is integrable via the method of characteristics and it provides the equation of state for the gas. The shock wave catastrophe set identifies the phase transition. A family of explicitly solvable models of non-hydrodynamic type such as the classical plasma and the ideal Bose gas is also discussed.
Original languageEnglish
Pages (from-to)701-719
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2139
Publication statusPublished - 8 Mar 2012


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