PreprintCC BY 4.0arXiv
Two-stage Slowdown of Vacancy-mediated Diffusion in a Lattice Gas Model with Quenched Disorder and Spins
Abstract
We present a lattice gas model with random interactions quenched in space and spins quenched to the particles. The vacancy-mediated diffusion is studied in equilibrium. A two-stage slowdown is witnessed in both the mean squared displacement and the spatial overlaps. We demonstrate that the plateaus are due to anti-correlation at the corresponding length scale. The anti-correlation diminishes quickly with increasing lag time. A broad and yet finite distribution of the survival function of vacancies suggests their normal diffusion at large time limit. Our model can serve as a new playground for understanding hierarchical dynamics in glassy-like dynamical systems.
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BibTeX
@misc{zhai2026twostage,
title = {{Two-stage Slowdown of Vacancy-mediated Diffusion in a Lattice Gas Model with Quenched Disorder and Spins}},
author = {Qiang Zhai},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29931},
eprint = {2610.29931},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29931},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Two-stage Slowdown of Vacancy-mediated Diffusion in a Lattice Gas Model with Quenched Disorder and Spins
AU - Qiang Zhai
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.29931
UR - https://arxiv.org/abs/2610.29931
AB - We present a lattice gas model with random interactions quenched in space and spins quenched to the particles. The vacancy-mediated diffusion is studied in equilibrium. A two-stage slowdown is witnessed in both the mean squared displacement and the spatial overlaps. We demonstrate that the plateaus are due to anti-correlation at the corresponding length scale. The anti-correlation diminishes quickly with increasing lag time. A broad and yet finite distribution of the survival function of vacancies suggests their normal diffusion at large time limit. Our model can serve as a new playground for understanding hierarchical dynamics in glassy-like dynamical systems.
ER -