About: Ice-type model

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Ice-type model Goto Sponge NotDistinct Permalink

An Entity of Type : yago:WikicatExactlySolvableModels, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FIce-type_model&invfp=IFP_OFF&sas=SAME_AS_OFF

In statistical mechanics, the ice-type models or six-vertex models are a family of vertex models for crystal lattices with hydrogen bonds. The first such model was introduced by Linus Pauling in 1935 to account for the residual entropy of water ice. Variants have been proposed as models of certain ferroelectric and antiferroelectric crystals. In 1967, Elliott H. Lieb found the exact solution to a two-dimensional ice model known as "square ice". The exact solution in three dimensions is only known for a special "frozen" state.

Attributes	Values
rdf:type	yago:WikicatLatticeModels yago:Assistant109815790 yago:CausalAgent100007347 yago:LivingThing100004258 yago:Model110324560 yago:Object100002684 yago:Organism100004475 yago:Person100007846 yago:PhysicalEntity100001930 yago:Worker109632518 yago:YagoLegalActor yago:YagoLegalActorGeo yago:Whole100003553 yago:WikicatExactlySolvableModels
rdfs:label	Ice-type model (en) Modèle à six sommets (fr)
rdfs:comment	In statistical mechanics, the ice-type models or six-vertex models are a family of vertex models for crystal lattices with hydrogen bonds. The first such model was introduced by Linus Pauling in 1935 to account for the residual entropy of water ice. Variants have been proposed as models of certain ferroelectric and antiferroelectric crystals. In 1967, Elliott H. Lieb found the exact solution to a two-dimensional ice model known as "square ice". The exact solution in three dimensions is only known for a special "frozen" state. (en) Le modèle à six sommets (ou, plus rarement, modèle à six vertex) est un modèle de physique statistique étudiant les configurations de flèches sur un réseau bidimensionnel. Ce modèle est une généralisation du modèle de glace introduit par Pauling en 1935 pour étudier la configuration de cristal de glace et étendu aux matériaux ferroélectriques par Slater en 1941. Le modèle à six sommets a été premièrement résolu dans des cas particuliers par Lieb et Sutherland en 1967. Il est étudié en physique statistique du fait qu'il est et pour son lien avec les mathématiques combinatoires. (fr)
foaf:depiction
dcterms:subject	Statistical mechanics Exactly solvable models Lattice models Ice
Wikipage page ID	20096022 (xsd:integer)
Wikipage revision ID	1117746192 (xsd:integer)
Link from a Wikipage to another Wikipage	Nowhere-zero flow Boltzmann constant Regular graph Lieb's square ice constant Statistical mechanics Orientation (graph theory) Eight-vertex model Elliott H. Lieb Geometrical frustration Coordination number Exactly solvable models Linus Pauling Magnetic moment Combinatorics Ice Ih Alternating sign matrix Eulerian path Partition function (statistical mechanics) Graph theory Ferroelectric Residual entropy Statistical mechanics Lattice models Ice Exactly solvable model Vertex model Crystal lattice Phase Transitions and Critical Phenomena Thermodynamic limit Spin ice William F. Giauque Antiferroelectric
Link from a Wikipage to an external page	http://physics.anu.edu.au/theophys/_files/Exactly.pdf https://web.archive.org/web/20210414063635/https:/physics.anu.edu.au/theophys/_files/Exactly.pdf
sameAs	Ice-type model Ice-type model Ice-type model Ice-type model Ice-type model
dbp:wikiPageUsesTemplate	dbt:Chem dbt:Citation dbt:Reflist
thumbnail	wiki-commons:Special:FilePath/Sixvertex2.png?width=300
has abstract	In statistical mechanics, the ice-type models or six-vertex models are a family of vertex models for crystal lattices with hydrogen bonds. The first such model was introduced by Linus Pauling in 1935 to account for the residual entropy of water ice. Variants have been proposed as models of certain ferroelectric and antiferroelectric crystals. In 1967, Elliott H. Lieb found the exact solution to a two-dimensional ice model known as "square ice". The exact solution in three dimensions is only known for a special "frozen" state. (en) Le modèle à six sommets (ou, plus rarement, modèle à six vertex) est un modèle de physique statistique étudiant les configurations de flèches sur un réseau bidimensionnel. Ce modèle est une généralisation du modèle de glace introduit par Pauling en 1935 pour étudier la configuration de cristal de glace et étendu aux matériaux ferroélectriques par Slater en 1941. Le modèle à six sommets a été premièrement résolu dans des cas particuliers par Lieb et Sutherland en 1967. Il est étudié en physique statistique du fait qu'il est et pour son lien avec les mathématiques combinatoires. (fr)
gold:hypernym	Family
prov:wasDerivedFrom	wikipedia-en:Ice-type_model?oldid=1117746192&ns=0
page length (characters) of wiki page	21127 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Ice-type_model
is Link from a Wikipage to another Wikipage of	Integrable system Lieb's square ice constant List of integrable models Orientation (graph theory) Quantum Heisenberg model Eight-vertex model Elliott H. Lieb Linus Pauling Combinatorics and physics Ice rules 6 Quantum inverse scattering method 6-vertex model 6 vertex model Six-vertex model Six vertex model Ice type model
is Wikipage redirect of	6-vertex model 6 vertex model Six-vertex model Six vertex model Ice type model
is foaf:primaryTopic of	wikipedia-en:Ice-type_model

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 50 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software