| http://dbpedia.org/ontology/abstract
|
In statistical mechanics, the Griffiths in … In statistical mechanics, the Griffiths inequality, sometimes also called Griffiths–Kelly–Sherman inequality or GKS inequality, named after Robert B. Griffiths, is a correlation inequality for ferromagnetic spin systems. Informally, it says that in ferromagnetic spin systems, if the 'a-priori distribution' of the spin is invariant under spin flipping, the correlation of any monomial of the spins is non-negative; and the two point correlation of two monomial of the spins is non-negative. The inequality was proved by Griffiths for Ising ferromagnets with two-body interactions, then generalised by Kelly and Sherman to interactions involving an arbitrary number of spins, and then by Griffiths to systems with arbitrary spins. A more general formulation was given by Ginibre, and is now called the Ginibre inequality. and is now called the Ginibre inequality.
|
| http://dbpedia.org/ontology/wikiPageID
|
32014314
|
| http://dbpedia.org/ontology/wikiPageLength
|
12962
|
| http://dbpedia.org/ontology/wikiPageRevisionID
|
1123341842
|
| http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Probability_space +
, http://dbpedia.org/resource/Chebyshev%27s_sum_inequality +
, http://dbpedia.org/resource/Category:Statistical_mechanics +
, http://dbpedia.org/resource/Category:Inequalities +
, http://dbpedia.org/resource/Classical_XY_model +
, http://dbpedia.org/resource/Thermodynamic_free_energy +
, http://dbpedia.org/resource/Statistical_mechanics +
, http://dbpedia.org/resource/Haar_measure +
, http://dbpedia.org/resource/Ising_model +
, http://dbpedia.org/resource/Jean_Ginibre +
, http://dbpedia.org/resource/Compact_group +
, http://dbpedia.org/resource/Ensemble_average +
, http://dbpedia.org/resource/Partition_function_%28statistical_mechanics%29 +
, http://dbpedia.org/resource/FKG_inequality +
, http://dbpedia.org/resource/Thermodynamic_limit +
, http://dbpedia.org/resource/Positive-definite_function +
, http://dbpedia.org/resource/Correlation_inequality +
, http://dbpedia.org/resource/Commutative +
, http://dbpedia.org/resource/Ferromagnetic +
, http://dbpedia.org/resource/Lattice_%28group%29 +
, http://dbpedia.org/resource/Convex_cone +
, http://dbpedia.org/resource/Totally_ordered_set +
, http://dbpedia.org/resource/Coulomb_gas +
, http://dbpedia.org/resource/Robert_B._Griffiths +
|
| http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Reflist +
|
| http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Statistical_mechanics +
, http://dbpedia.org/resource/Category:Inequalities +
|
| http://purl.org/linguistics/gold/hypernym
|
http://dbpedia.org/resource/Inequality +
|
| http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Griffiths_inequality?oldid=1123341842&ns=0 +
|
| http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Griffiths_inequality +
|
| owl:sameAs |
http://rdf.freebase.com/ns/m.0gx0_sx +
, http://www.wikidata.org/entity/Q5608940 +
, http://yago-knowledge.org/resource/Griffiths_inequality +
, https://global.dbpedia.org/id/4knuw +
, http://dbpedia.org/resource/Griffiths_inequality +
|
| rdf:type |
http://dbpedia.org/class/yago/WikicatInequalities +
, http://dbpedia.org/class/yago/Abstraction100002137 +
, http://dbpedia.org/class/yago/Quality104723816 +
, http://dbpedia.org/class/yago/Inequality104752221 +
, http://dbpedia.org/class/yago/Difference104748836 +
, http://dbpedia.org/class/yago/Attribute100024264 +
|
| rdfs:comment |
In statistical mechanics, the Griffiths in … In statistical mechanics, the Griffiths inequality, sometimes also called Griffiths–Kelly–Sherman inequality or GKS inequality, named after Robert B. Griffiths, is a correlation inequality for ferromagnetic spin systems. Informally, it says that in ferromagnetic spin systems, if the 'a-priori distribution' of the spin is invariant under spin flipping, the correlation of any monomial of the spins is non-negative; and the two point correlation of two monomial of the spins is non-negative.two monomial of the spins is non-negative.
|
| rdfs:label |
Griffiths inequality
|
