# Effects of Frustration on Fluctuation-dissipation Relations

## TL;DR

This paper investigates how frustration affects aging and fluctuation-dissipation relations in a disordered 2D Ising model, revealing different scaling behaviors in ferromagnetic and paramagnetic phases.

## Contribution

It provides a detailed numerical analysis of aging properties and fluctuation-dissipation relations in a frustrated disordered Ising model, highlighting phase-dependent scaling behaviors.

## Key findings

- In the ferromagnetic phase, two-time quantities are additive in equilibrium and aging parts.
- In the paramagnetic phase, these parts combine multiplicatively.
- Scaling forms fit well, with determined exponents and functions.

## Abstract

We study numerically the aging properties of the two-dimensional Ising model with quenched disorder considered in our recent paper [Phys. Rev. E 95, 062136 (2017)], where frustration can be tuned by varying the fraction a of antiferromagnetic interactions. Specifically we focus on the scaling properties of the autocorrelation and linear response functions after a quench of the model to a low temperature. We find that the interplay between equilibrium and aging occurs differently in the various regions of the phase diagram of the model. When the quench is made into the ferromagnetic phase the two-time quantities are made by the sum of an equilibrium and an aging part, whereas in the paramagnetic phase these parts combine in a multiplicative way. Scaling forms are shown to be obeyed with good accuracy, and the corresponding exponents and scaling functions are determined and discussed in the framework of what is known in clean and disordered systems.