Archimedean Ice

The striking boundary dependency (the Arctic Circle phenomenon) exhibited in the ice model on the square lattice extends to other planar set-ups. We present these findings for the triangular and the Kagome lattices. Critical connectivity results guarantee that ice configurations can be generated usi...

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Bibliographic Details
Main Author: Eloranta, Kari
Format: Report
Language:unknown
Published: arXiv 2009
Subjects:
Mathematical Physics math-ph
FOS Physical sciences
05B45, 52C20, 68Q80, 82B20, 82C20
Arctic
Online Access:https://dx.doi.org/10.48550/arxiv.0909.4007
https://arxiv.org/abs/0909.4007
id ftdatacite:10.48550/arxiv.0909.4007
record_format openpolar
spelling ftdatacite:10.48550/arxiv.0909.4007 2023-05-15T15:00:22+02:00 Archimedean Ice Eloranta, Kari 2009 https://dx.doi.org/10.48550/arxiv.0909.4007 https://arxiv.org/abs/0909.4007 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Mathematical Physics math-ph FOS Physical sciences 05B45, 52C20, 68Q80, 82B20, 82C20 Preprint Article article CreativeWork 2009 ftdatacite https://doi.org/10.48550/arxiv.0909.4007 2022-04-01T14:53:55Z The striking boundary dependency (the Arctic Circle phenomenon) exhibited in the ice model on the square lattice extends to other planar set-ups. We present these findings for the triangular and the Kagome lattices. Critical connectivity results guarantee that ice configurations can be generated using the simplest and most efficient local actions. Height functions are utilized throughout the analysis. At the end there is a surprise in store: on the remaining Archimedean lattice for which the ice model can be defined, the 3.4.6.4. lattice, the long range behavior is completely different from the other cases. : 20 pages, 6 figures (last page pics may take a bit time to upload) Report Arctic DataCite Metadata Store (German National Library of Science and Technology) Arctic
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Mathematical Physics math-ph
FOS Physical sciences
05B45, 52C20, 68Q80, 82B20, 82C20
spellingShingle Mathematical Physics math-ph
FOS Physical sciences
05B45, 52C20, 68Q80, 82B20, 82C20
Eloranta, Kari
Archimedean Ice
topic_facet Mathematical Physics math-ph
FOS Physical sciences
05B45, 52C20, 68Q80, 82B20, 82C20
description The striking boundary dependency (the Arctic Circle phenomenon) exhibited in the ice model on the square lattice extends to other planar set-ups. We present these findings for the triangular and the Kagome lattices. Critical connectivity results guarantee that ice configurations can be generated using the simplest and most efficient local actions. Height functions are utilized throughout the analysis. At the end there is a surprise in store: on the remaining Archimedean lattice for which the ice model can be defined, the 3.4.6.4. lattice, the long range behavior is completely different from the other cases. : 20 pages, 6 figures (last page pics may take a bit time to upload)
format Report
author Eloranta, Kari
author_facet Eloranta, Kari
author_sort Eloranta, Kari
title Archimedean Ice
title_short Archimedean Ice
title_full Archimedean Ice
title_fullStr Archimedean Ice
title_full_unstemmed Archimedean Ice
title_sort archimedean ice
publisher arXiv
publishDate 2009
url https://dx.doi.org/10.48550/arxiv.0909.4007
https://arxiv.org/abs/0909.4007
geographic Arctic
geographic_facet Arctic
genre Arctic
genre_facet Arctic
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.0909.4007
_version_ 1766332471213817856

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