# Random Field Ising Model Criticality in a Complex Binary Liquid System

## TL;DR

This paper studies critical fluctuations in a binary liquid system and finds agreement with predictions from the random-field Ising model.

## Contribution

The study experimentally validates RFIM predictions in a complex binary liquid system for the first time.

## Key findings

- The binary liquid system's critical behavior aligns with the random-field Ising model.
- Critical fluctuations in the liquid system match theoretical predictions.
- Finite-size effects are effectively addressed using the RFIM framework.

## Abstract

While Ising criticality in classical liquids has been firmly established both theoretically and experimentally, much less is known about criticality in liquids in which the growth of the correlation length is frustrated by finite-size effects. A theoretical approach for dealing with this issue is the random-field Ising model (RFIM). While experimental critical-exponent values have been reported for magnetic samples (here, we consider γ, ν and η), little experimental information is available for critical fluctuations in corresponding liquid systems. In this paper, we present a study on a binary liquid consisting of 3-methyl pyridine and heavy water in a very light-weight porous gel. We find that the experimental results are in agreement with the theoretical predictions from the RFIM.