Non-Positive $\alpha$ Rule for Continuous Phase Transition Lines

TL;DR

This paper investigates the assumptions about the Helmholtz free energy structure in continuous phase transitions, questioning the insensitivity to the sign of the specific heat exponent, but it has been withdrawn due to logical flaws.

Contribution

It challenges the conventional belief that the regular part of Helmholtz free energy is unaffected by the sign of the specific heat exponent in phase transitions.

Findings

Questioned the insensitivity assumption of free energy structure

Identified a possible flaw in the logical foundation of previous theories

Paper withdrawn due to identified flaw

Abstract

This paper has been withdrawn by the authors, due to a possible flaw in its logic. Namely, it has been taken for granted that the the structure of regular part of Helmholtz free energy is insensitive to the sign of the specific heat exponent.