Does Fluctuating Nonlinear Hydrodynamics Support an Ergodic-Nonergodic Transition?

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.

11 pages

References in corpus (6)

• Cooperativity Beyond Caging: Generalized Mode Coupling Theory
• Dynamical field theory for glass-forming liquids, self-consistent resummations and time-reversal symmetry
• Gaussian density fluctuations and Mode Coupling Theory for supercooled liquids
• Do current-density nonlinearities cut off the glass transition?
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Cited by in corpus (8)

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• Equilibrium dynamics of the Dean-Kawasaki model: MCT and beyond
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• Density nonlinearities in field theories for a toy model of fluctuating nonlinear hydrodynamics of supercooled liquids
• Linking density functional and mode coupling models for supercooled liquids
• A numerical study of longtime dynamics and ergodic-nonergodic transitions in dense simple fluids
• Scaling behavior of the self diffusion coefficients: dependence on the mass ratio of a binary mixture
• Ergodicity and slow diffusion in a supercooled liquid