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, 54 (40). p. 405701. ISSN 1751-8113
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Abstract
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 |
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| Additional Information: | Funding information: FG and AM acknowledge the hospitality of the Lecce's division of I.N.F.N. and of the Department of Mathematics and Physics 'Ennio De Giorgi' of the University of Salento. GL acknowledges the hospitality of the Department of Mathematics, Physics and Electrical Engineering of Northumbria University. GL and LM are partially supported by INFN IS-MMNLP. AM is supported by the Leverhulme Trust Research Project Grant RPG 2017-228. AM is also grateful to the London Mathematical Society, the Royal Society International Exchanges Grant IES-R2-170116, GNFM—Gruppo Nazionale per la Fisica Matematica, INdAM (Istituto Nazionale di Alta Matematica) for supporting activities that contributed to the research reported in this paper. |
| 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: | 04 Oct 2021 10:41 |
| URI: | http://nrl.northumbria.ac.uk/id/eprint/47050 |
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