Does Fluctuating Nonlinear Hydrodynamics Support an Ergodic-Nonergodic Transition?

TL;DR

This paper reevaluates the fluctuating nonlinear hydrodynamics model for glass-forming systems and concludes it does not support an ergodic-nonergodic transition, aligning with empirical observations that such a transition does not occur.

Contribution

The authors provide a nonperturbative analysis demonstrating that the FNH model cannot support an ergodic-nonergodic transition, reaffirming their original findings and correcting misconceptions in the literature.

Findings

FNH model does not support an ENE transition

Supports original 1986 findings against recent criticisms

Clarifies misconceptions about the model's capabilities

Abstract

Despite its appeal, real and simulated glass forming systems do not undergo an ergodic-nonergodic (ENE) transition. We reconsider whether the fluctuating nonlinear hydrodynamics (FNH) model for this system, introduced by us in 1986, supports an ENE transition. Using nonperturbative arguments, with no reference to the hydrodynamic regime, we show that the FNH model does not support an ENE transition. Our results support the findings in the original paper. Assertions in the literature questioning the validity of the original work are shown to be in error.