Some critical remarks on Landau's (macroscopic) phase transitions theory

Abstract

This paper explain the existence of a particular formal model (drew from Theoretical Astrophysics) whose thermodynamical phenomenology shows a possible second order phase transition (according to Landau's Thermodynamical Theory) that seems does not verify the (Birman-Goldrich-Jaric) "chain subduction criterion" and the (Ascher's) "maximality criterion" of Landau's Phenomenological Theory. Therefore, it follows that Landau's Phenomenological Theory is more restrictive than the Landau's Thermodynamical Theory.

This work is a part of a communication given at the XCI-th National Congress of the Italian Physical Society (SIF), III-th section: Astrophysics and Cosmic Physics, held to Department of Physics and Astronomy of the University of Catania, September 26 - October 1, 2005