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)

[img]
Preview
Text
Giglio+et+al_2021_J._Phys._A__Math._Theor._10.1088_1751-8121_ac2009.pdf - Accepted Version
Available under License Creative Commons Attribution.

Download (898kB) | Preview
[img] Text
gvsym_jpa_final.pdf - Accepted Version
Restricted to Repository staff only until 23 August 2022.
Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (902kB) | Request a copy
Official URL: https://doi.org/10.1088/1751-8121/ac2009

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
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
URI: http://nrl.northumbria.ac.uk/id/eprint/47050

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics