An Estimation of Phase Transition

TL;DR

This paper investigates the conditions under which phase transitions in pressure functions can occur, proving that such transitions cannot happen within a specific parameter interval.

Contribution

It establishes a new theoretical result showing the impossibility of phase transitions in pressure functions within the interval ]0, 2], extending previous work on phase transition conditions.

Findings

Phase transition in pressure functions cannot occur in the interval ]0, 2].

The result narrows the parameter range where phase transitions are possible.

Provides a theoretical proof extending prior studies on pressure functions.

Abstract

In [8], H. Bruin and R. Leplaideur studied a class of potentials such that the pressure function exhibit a phase transition at a parameter \b{eta}c > 0. This paper will prove that the transition in pressure function cannot appear within the interval ]0, 2].