Symmetries and criticality of generalised van der Waals models

Giglio, F. , Landolfi, G., Martina, L. and Moro, A. (2021) Symmetries and criticality of generalised van der Waals models. Journal of Physics A: Mathematical and Theoretical, 54(40), 405701. (doi: 10.1088/1751-8121/ac2009)

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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:Articles
Additional Information:F.G. and A.M. 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. G.L. acknowledges the hospitality of the Department of Mathematics, Physics and Electrical Engineering of Northumbria University. G.L. and L.M. are partially supported by INFN IS-MMNLP. A.M. is supported by the Leverhulme Trust Research Project Grant RPG 2017-228. A.M. is also grateful to the London Mathematical Society, the Royal Society International Exchanges Grant IES-R2-170116 (PI A.M.), 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.
Glasgow Author(s) Enlighten ID:Giglio, Dr Francesco
Authors: Giglio, F., Landolfi, G., Martina, L., and Moro, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Physics A: Mathematical and Theoretical
Publisher:IOP Publishing
ISSN (Online):1751-8121
Published Online:23 August 2021
Copyright Holders:Copyright © 2021 The Authors
First Published:First published in Journal of Physics A: Mathematical and Theoretical 54(40): 405701
Publisher Policy:Reproduced under a Creative Commons License

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