# Activated Dynamics and the Ergodic-Nonergodic Transition

Source: [Activated Dynamics and the Ergodic-Nonergodic Transition](<https://www.sota2.com/research/paper/68fa20907a2b558e29331e03>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T22:25:32.160Z

Authors: Gene F Mazenko

Published: 2006-09-22T19:18:44.000Z

## Abstract

The hindered diffusion model is introduced. It is a continuum model giving the dynamics of a conserved density. Similar to the spin-facilitated models, the kinetics are hindered by a fluctuating diffusion coefficient that decreases as the local density approaches some geometrically constrained value where the mobility goes to zero. The model leads in a natural way to activated dynamics at low temperatures and high densities. In a well defined approximation the theory is shown to be compatible with mode-coupling theory. Indeed in the simplest form of the model we find an ergodic-nonergodic transition into a phase that supports activated kinetics and nonergodic behavior.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0609591>)

[PDF](<https://arxiv.org/pdf/cond-mat/0609591.pdf>)