Universal scaling behavior at the upper critical dimension of non-equilibrium continuous phase transitions

TL;DR

This paper investigates the universal scaling functions and critical exponents at the upper critical dimension of non-equilibrium continuous phase transitions, providing a method to verify the upper critical dimension across various systems.

Contribution

It introduces a universal scaling analysis approach applicable to both equilibrium and non-equilibrium phase transitions at the upper critical dimension.

Findings

Universal scaling functions characterized at the upper critical dimension.

Method for verifying the upper critical dimension in diverse systems.

Applicable to both numerical and experimental phase transition data.

Abstract

In this work we analyze the universal scaling functions and the critical exponents at the upper critical dimension of a continuous phase transition. The consideration of the universal scaling behavior yields a decisive check of the value of the upper critical dimension. We apply our method to a non-equilibrium continuous phase transition. But focusing on the equation of state of the phase transition it is easy to extend our analysis to all equilibrium and non-equilibrium phase transitions observed numerically or experimentally.