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

Area of Science:

• Physics
• Physical Chemistry

Background:

• Ising criticality is well-established in classical liquids.
• Critical phenomena in liquids with frustrated correlation length growth due to finite-size effects are less understood.
• The random-field Ising model (RFIM) offers a theoretical framework for such systems.

Purpose of the Study:

• To investigate critical fluctuations in a binary liquid system under finite-size constraints.
• To compare experimental findings with theoretical predictions from the random-field Ising model (RFIM).

Main Methods:

• Studied a binary liquid mixture of 3-methyl pyridine and heavy water.
• Utilized a lightweight porous gel to induce finite-size effects.
• Analyzed experimental critical fluctuations and compared them to RFIM predictions.

Main Results:

• Experimental critical-exponent values (γ, ν, η) were investigated.
• Observed agreement between experimental results and theoretical predictions from the RFIM.
• Demonstrated the applicability of the RFIM to liquid systems with frustrated criticality.

Conclusions:

• The random-field Ising model (RFIM) successfully describes critical phenomena in finite-size liquid systems.
• Experimental data supports the theoretical framework of RFIM for frustrated Ising criticality.
• Provides valuable experimental insights into liquid criticality under confinement.