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Random-field Ising model criticality in a glass-forming liquid
Benjamin Guiselin1, Ludovic Berthier1,2, Gilles Tarjus3
1Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, 34095 Montpellier, France.
Physical Review. E
|November 20, 2020
Summary
Computer simulations reveal a random-field Ising model (RFIM) critical point in supercooled liquids. This finding, supported by finite-size scaling, matches theoretical predictions for RFIM-like systems.
Area of Science:
- Condensed matter physics
- Statistical mechanics
- Computational physics
Background:
- Supercooled liquids exhibit complex phase diagrams.
- Understanding phase transitions in disordered systems is crucial.
- Field-theoretical approaches predict specific critical behaviors.
Purpose of the Study:
- To investigate the extended phase diagram of a supercooled liquid coupled to a quenched configuration.
- To identify and characterize critical points and phase transitions.
- To compare simulation results with field-theoretical predictions.
Main Methods:
- Utilizing computer simulations to model the system.
- Performing extensive finite-size scaling analysis.
- Analyzing system dynamics and overlap autocorrelation functions.
Main Results:
- Demonstrated the existence of a random-field Ising model (RFIM) critical point.
- Identified a first-order transition line, consistent with theoretical models.
- Observed activated scaling dynamics and logarithmic stretching in autocorrelation, characteristic of RFIM systems.
Conclusions:
- RFIM criticality is confirmed in the thermodynamic limit for a 3D supercooled liquid at equilibrium.
- The study validates field-theoretical predictions for supercooled liquid behavior.
- Simulation results provide insights into the dynamics near critical points in disordered systems.

