Matches in SemOpenAlex for { <https://semopenalex.org/work/W2069044218> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2069044218 endingPage "3906" @default.
- W2069044218 startingPage "3889" @default.
- W2069044218 abstract "Some simplifications of the integrals (2n+1), derived by Wu et al (1976 13 316), that contribute to the zero field susceptibility of the 2D square lattice Ising model are reported. In particular, several alternate expressions for the integrands in (2n+1) are determined which greatly facilitate both the generation of high-temperature series and analytical analysis. One can show that as series, (2n+1) = 22n(s/2)4n(n+1)(1+O(s)) where s is the high-temperature variable sin(2K) with K the conventional normalized inverse temperature. Analysis of the integrals near symmetry points of the integrands shows that (2n+1)(s) is singular on the unit circle at sk = exp(ik) where 2cos(k) = cos(2 k/(2n+1))+cos(2/(2n+1)), -n k, n. The singularities, k = 0 excepted, are logarithmic branch points of order 2n(n+1)-1ln() with = 1-s/sk. There is numerical evidence from series that these van Hove points, in addition to the known points at s = ±1 and ±i, exhaust the singularities on the unit circle. Barring cancellation from extra (unobserved) singularities one can conclude that |s| = 1 is a natural boundary for the susceptibility." @default.
- W2069044218 created "2016-06-24" @default.
- W2069044218 creator A5081011673 @default.
- W2069044218 date "1999-01-01" @default.
- W2069044218 modified "2023-09-24" @default.
- W2069044218 title "On the singularity structure of the 2D Ising model susceptibility" @default.
- W2069044218 cites W1969552299 @default.
- W2069044218 cites W1976068350 @default.
- W2069044218 cites W1988395866 @default.
- W2069044218 cites W2000485010 @default.
- W2069044218 cites W2025056043 @default.
- W2069044218 cites W2025782436 @default.
- W2069044218 cites W2033943539 @default.
- W2069044218 cites W2049894103 @default.
- W2069044218 cites W2061427237 @default.
- W2069044218 cites W2063092441 @default.
- W2069044218 cites W2063291356 @default.
- W2069044218 cites W2067663797 @default.
- W2069044218 cites W2069325427 @default.
- W2069044218 cites W2071319633 @default.
- W2069044218 cites W2988908695 @default.
- W2069044218 cites W3103427469 @default.
- W2069044218 cites W3105510665 @default.
- W2069044218 doi "https://doi.org/10.1088/0305-4470/32/21/303" @default.
- W2069044218 hasPublicationYear "1999" @default.
- W2069044218 type Work @default.
- W2069044218 sameAs 2069044218 @default.
- W2069044218 citedByCount "83" @default.
- W2069044218 countsByYear W20690442182012 @default.
- W2069044218 countsByYear W20690442182013 @default.
- W2069044218 countsByYear W20690442182014 @default.
- W2069044218 countsByYear W20690442182015 @default.
- W2069044218 countsByYear W20690442182016 @default.
- W2069044218 countsByYear W20690442182017 @default.
- W2069044218 countsByYear W20690442182019 @default.
- W2069044218 countsByYear W20690442182020 @default.
- W2069044218 countsByYear W20690442182022 @default.
- W2069044218 crossrefType "journal-article" @default.
- W2069044218 hasAuthorship W2069044218A5081011673 @default.
- W2069044218 hasConcept C114614502 @default.
- W2069044218 hasConcept C121332964 @default.
- W2069044218 hasConcept C126875415 @default.
- W2069044218 hasConcept C12843 @default.
- W2069044218 hasConcept C134306372 @default.
- W2069044218 hasConcept C143724316 @default.
- W2069044218 hasConcept C151730666 @default.
- W2069044218 hasConcept C16171025 @default.
- W2069044218 hasConcept C207467116 @default.
- W2069044218 hasConcept C24890656 @default.
- W2069044218 hasConcept C2524010 @default.
- W2069044218 hasConcept C26873012 @default.
- W2069044218 hasConcept C2777620828 @default.
- W2069044218 hasConcept C2781204021 @default.
- W2069044218 hasConcept C33923547 @default.
- W2069044218 hasConcept C37914503 @default.
- W2069044218 hasConcept C39927690 @default.
- W2069044218 hasConcept C51329190 @default.
- W2069044218 hasConcept C86803240 @default.
- W2069044218 hasConceptScore W2069044218C114614502 @default.
- W2069044218 hasConceptScore W2069044218C121332964 @default.
- W2069044218 hasConceptScore W2069044218C126875415 @default.
- W2069044218 hasConceptScore W2069044218C12843 @default.
- W2069044218 hasConceptScore W2069044218C134306372 @default.
- W2069044218 hasConceptScore W2069044218C143724316 @default.
- W2069044218 hasConceptScore W2069044218C151730666 @default.
- W2069044218 hasConceptScore W2069044218C16171025 @default.
- W2069044218 hasConceptScore W2069044218C207467116 @default.
- W2069044218 hasConceptScore W2069044218C24890656 @default.
- W2069044218 hasConceptScore W2069044218C2524010 @default.
- W2069044218 hasConceptScore W2069044218C26873012 @default.
- W2069044218 hasConceptScore W2069044218C2777620828 @default.
- W2069044218 hasConceptScore W2069044218C2781204021 @default.
- W2069044218 hasConceptScore W2069044218C33923547 @default.
- W2069044218 hasConceptScore W2069044218C37914503 @default.
- W2069044218 hasConceptScore W2069044218C39927690 @default.
- W2069044218 hasConceptScore W2069044218C51329190 @default.
- W2069044218 hasConceptScore W2069044218C86803240 @default.
- W2069044218 hasIssue "21" @default.
- W2069044218 hasLocation W20690442181 @default.
- W2069044218 hasOpenAccess W2069044218 @default.
- W2069044218 hasPrimaryLocation W20690442181 @default.
- W2069044218 hasRelatedWork W1971162537 @default.
- W2069044218 hasRelatedWork W2004087264 @default.
- W2069044218 hasRelatedWork W2026266981 @default.
- W2069044218 hasRelatedWork W2047748666 @default.
- W2069044218 hasRelatedWork W2056002080 @default.
- W2069044218 hasRelatedWork W2066832011 @default.
- W2069044218 hasRelatedWork W2069044218 @default.
- W2069044218 hasRelatedWork W3105510665 @default.
- W2069044218 hasRelatedWork W2524478501 @default.
- W2069044218 hasRelatedWork W3036447239 @default.
- W2069044218 hasVolume "32" @default.
- W2069044218 isParatext "false" @default.
- W2069044218 isRetracted "false" @default.
- W2069044218 magId "2069044218" @default.
- W2069044218 workType "article" @default.