Experimental validation of nonextensive statistical field theory: applications to manganites

TL;DR

This paper experimentally validates the nonextensive statistical field theory by comparing its predicted critical indices with experimental data from manganites, showing good agreement within the theory's validity range.

Contribution

It provides the first experimental validation of the nonextensive statistical field theory for critical phenomena in manganites, linking theory with real-world data.

Findings

Critical indices agree within 5% for most manganites.

The theory's validity is confirmed for |1 - q| < 1.

Physical interpretation of the q-parameter is provided.

Abstract

In this Letter we validate experimentally the nonextensive statistical field theory, a new general field-theoretic approach introduced recently in the literature. With such an approach, we are capable of computing the critical properties of nonextensive systems undergoing continuous phase transitions, belonging to the new generalized O($N$)$_{q}$ universality class. We compare the nonextensive critical indices values evaluated from the theory with those already obtained in literature through experiments for various distinct manganites presenting nonconventional critical behavior. The agreement is satisfactory, whose relative errors are $< 5\%$ for the most of manganites employed and as better as $|1 - q| < 1$ which is the limit of validity of the theory. We present the physical interpretation of the experimental results and of the theory through the general physical interpretation of the $q$-parameter.