An ergodic and isotropic zero-conductance model with arbitrarily strong local connectivity
Probability
2024-03-12 v1 Analysis of PDEs
Abstract
We exhibit a percolating ergodic and isotropic lattice model in all but at least two dimensions that has zero effective conductivity in all spatial directions and for all non-trivial choices of the connectivity parameter. The model is based on the so-called randomly stretched lattice where we additionally elongate layers containing few open edges.
Keywords
Cite
@article{arxiv.2403.06785,
title = {An ergodic and isotropic zero-conductance model with arbitrarily strong local connectivity},
author = {Martin Heida and Benedikt Jahnel and Anh Duc Vu},
journal= {arXiv preprint arXiv:2403.06785},
year = {2024}
}