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

TL;DR

This paper critically examines Landau's phase transition theory by analyzing a formal model from astrophysics, revealing discrepancies with certain criteria and suggesting Landau's phenomenological approach is more restrictive.

Contribution

It introduces a formal astrophysical model that challenges aspects of Landau's phenomenological theory of phase transitions.

Findings

The model exhibits a second order phase transition.

It violates the Birman-Goldrich-Jaric chain subduction criterion.

It does not satisfy Ascher's maximality criterion.

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.