# Dimensional crossover in the aging dynamics of spin glasses in a film geometry

## TL;DR

This paper numerically investigates the aging dynamics of spin glasses in a film geometry, revealing a four-regime dimensional crossover from 3D to 2D behavior consistent with experimental interpretations.

## Contribution

It provides a detailed numerical analysis of the dimensional crossover in spin-glass dynamics, connecting theoretical predictions with recent experimental results.

## Key findings

- Identification of four distinct dynamical regimes during the crossover
- Confirmation of the physical picture proposed by Orbach et al.
- Analysis spanning from picoseconds to equilibrium at various temperatures

## Abstract

Motivated by recent experiments of exceptional accuracy, we study numerically the spin-glass dynamics in a film geometry. We cover all the relevant time regimes, from picoseconds to equilibrium, at temperatures at and below the 3D critical point. The dimensional crossover from 3D to 2D dynamics, that starts when the correlation length becomes comparable to the film thickness, consists of four dynamical regimes. Our analysis, based on a Renormalization Group transformation, finds consistent the overall physical picture employed by Orbach et al. in the interpretation of their experiments.