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Effects of frustration on fluctuation-dissipation relations
Federico Corberi1, Manoj Kumar2, Eugenio Lippiello3
1Dipartimento di Fisica "E. R. Caianiello", and INFN, Gruppo Collegato di Salerno, and CNISM, Unità di Salerno, Università di Salerno, via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy.
Physical Review. E
|February 21, 2019
Summary
This study numerically investigates the aging properties of the two-dimensional Ising model with quenched disorder. The interplay between equilibrium and aging differs across the phase diagram, showing distinct behaviors in ferromagnetic and paramagnetic phases.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
- Computational Physics
Background:
- The two-dimensional Ising model with quenched disorder exhibits complex aging properties.
- Frustration can be tuned by varying antiferromagnetic interactions, influencing system behavior.
- Previous work established a foundation for studying this model's phase diagram.
Purpose of the Study:
- To numerically investigate the aging properties of the two-dimensional Ising model with quenched disorder.
- To analyze the scaling properties of autocorrelation and linear response functions after a low-temperature quench.
- To understand the interplay between equilibrium and aging across different phase diagram regions.
Main Methods:
- Numerical simulations of the two-dimensional Ising model.
- Analysis of autocorrelation functions.
- Analysis of linear response functions.
- Investigation of scaling properties and exponents.
Main Results:
- The interplay between equilibrium and aging manifests differently in ferromagnetic and paramagnetic phases.
- In the ferromagnetic phase, equilibrium and aging parts sum.
- In the paramagnetic phase, these parts combine multiplicatively.
- Observed scaling forms are obeyed with high accuracy.
Conclusions:
- The study provides detailed insights into the aging dynamics of disordered Ising models.
- Exponents and scaling functions were determined and discussed within existing theoretical frameworks.
- Findings contribute to the understanding of phase transitions and critical phenomena in disordered systems.
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