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arXiv · 2403.06785

An ergodic and isotropic zero-conductance model with arbitrarily strong local connectivity

Martin Heida·Benedikt Jahnel·Anh Duc Vu
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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.

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Martin Heida, Benedikt Jahnel, Anh Duc Vu. 2024-03-11. An ergodic and isotropic zero-conductance model with arbitrarily strong local connectivity. https://arxiv.org/abs/2403.06785

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