Geometrical approach to the thermodynamical theory of phase transitions of the second kind

A.K. Kanyuka and V.S. Glukhov

Physica A: Statistical Mechanics and its Applications, 1996, vol. 230, issue 3, 713-728

Abstract: A geometrical approach to the phenomenological theory of phase transitions of the second kind at constant pressure P and variable temperature T is proposed. Equilibrium states of a system at zero external field and fixed P and T are described by points in three-dimensional space with coordinates η, the order parameter, T, the temperature and /gf, the thermodynamic potential. These points form the so-called zero field curve in the (η, T, /gf) space. Its branch point coincides with the critical point of the system. The small parameter of the theory (the distance from the critical point along the zero-field curve) is shown to be more convenient than the small parameter of the Landau theory. It is emphasized that no explicit functional dependency of /gf on η and T is imposed.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:230:y:1996:i:3:p:713-728

DOI: 10.1016/0378-4371(96)00113-6

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