Critical scaling to infinite temperature

TL;DR

This paper investigates the critical behavior of three-dimensional Ising ferromagnets and real materials across all temperatures above Tc using renormalization group theory, providing insights into effective coordination numbers.

Contribution

It applies a unified critical scaling analysis to both theoretical models and experimental data, extending the understanding of critical phenomena over the entire temperature range.

Findings

Successful scaling analysis of susceptibility data above Tc

Estimation of effective coordination numbers for materials

Unified approach applicable to models and real systems

Abstract

Three dimensional Ising model ferromagnets on different lattices with nearest neighbor interactions, and on simple cubic lattices with equivalent interactions out to further neighbors, are studied numerically. The susceptibility data for all these systems are analyzed using the critical Renormalization Group Theory formalism over the entire temperature range above Tc with an appropriate choice of scaling variable and scaling expressions. Representative experimental data on a metallic ferromagnet (Ni) and an elementary fluid (Xe) are interpreted in the same manner so as to estimate effective coordination numbers.