An ergodic and isotropic zero-conductance model with arbitrarily strong local connectivity
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911792811212800 |
|---|---|
| author | Heida, Martin Jahnel, Benedikt Vu, Anh Duc |
| author_facet | Heida, Martin Jahnel, Benedikt Vu, Anh Duc |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An ergodic and isotropic zero-conductance model with arbitrarily strong local connectivity Heida, Martin Jahnel, Benedikt Vu, Anh Duc Probability Analysis of PDEs 60K35 60K37, secondary: 60G55 90B18 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. |
| title | An ergodic and isotropic zero-conductance model with arbitrarily strong local connectivity |
| topic | Probability Analysis of PDEs 60K35 60K37, secondary: 60G55 90B18 |
| url | https://arxiv.org/abs/2403.06785 |