Thermodynamic phase transitions and shock singularities
de Nittis G, Moro A (2011)
Publication Type: Journal article
Publication year: 2011
Journal
Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences
Royal Society, The
Publisher: Royal Society, The
Book Volume: 468
Pages Range: 701-719
Journal Issue: 2139
Abstract
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.
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APA:
de Nittis, G., & Moro, A. (2011). Thermodynamic phase transitions and shock singularities. Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, 468(2139), 701-719. https://doi.org/10.1098/rspa.2011.0459
MLA:
de Nittis, Giuseppe, and Antonio Moro. "Thermodynamic phase transitions and shock singularities." Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences 468.2139 (2011): 701-719.
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