Symmetries and criticality of generalised van der Waals models

Giglio, Francesco, Landolfi, Giulio, Martina, Luigi and Moro, Antonio (2021) Symmetries and criticality of generalised van der Waals models. Journal of Physics A: Mathematical and Theoretical. ISSN 1751-8113 (In Press)

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We consider a family of thermodynamic models such that the energy density can be expressed as an asymptotic expansion in the scale formal parameter and whose terms are suitable functions of the volume density. We examine the possibility to construct solutions for the Maxwell thermodynamic relations relying on their symmetry properties and deduce the critical properties implied in terms of the the dynamics of coexistence curves in the space of thermodynamic variables.

Item Type: Article
Uncontrolled Keywords: van der Waals type systems, critical points and phase transitions, symmetries of differential equations
Subjects: G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: John Coen
Date Deposited: 02 Sep 2021 11:29
Last Modified: 02 Sep 2021 11:30

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