# Does the Adam-Gibbs relation hold in simulated supercooled liquids?

## TL;DR

This study tests the validity of the Adam-Gibbs relation in simulated supercooled liquids and finds it generally violated, suggesting thermodynamics alone may not explain slow glassy dynamics.

## Contribution

The paper provides the first comprehensive test of the Adam-Gibbs relation in simulations and experiments, challenging its universality in glass transition theories.

## Key findings

- Adam-Gibbs relation is violated in simulated models at relevant timescales.
- Experimental data show similar deviations, questioning thermodynamics as the sole driver.
- Deviations are consistent with random first order transition theory or alternative mechanisms.

## Abstract

We perform stringent tests of thermodynamic theories of the glass transition over the experimentally relevant temperature regime for several simulated glass-formers. The swap Monte Carlo algorithm is used to estimate the configurational entropy and static point-to-set lengthscale, and careful extrapolations are used for the relaxation times. We first quantify the relation between configurational entropy and the point-to-set lengthscale in two and three dimensions. We then show that the Adam-Gibbs relation is generally violated in simulated models for the experimentally relevant time window. Collecting experimental data for several supercooled molecular liquids, we show that the same trends are observed experimentally. Deviations from the Adam-Gibbs relation remain compatible with random first order transition theory, and may account for the reported discrepancies between Kauzmann and Vogel-Fulcher-Tammann temperatures. Alternatively, they may also indicate that even near $T_g$ thermodynamics is not the only driving force for slow dynamics.