Decay of correlations for slowly decreasing potentials

Rigorous melts are obtained for the two-point correlations in lattice spin-/sup 1///sub 2/ systems in v-dimensional space for interaction potentials r/sup -s/ (s>0). The ferromagnetic condition is imposed. It is shown that the correlations cannot decay faster than the potential. At low activity o...

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Detalles Bibliográficos
Autores principales: Iagolnitzer, D, Souillard, B
Lenguaje:eng
Publicado: 1977
Materias:
Condensed Matter
Acceso en línea:http://cds.cern.ch/record/878493
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author Iagolnitzer, D
Souillard, B
author_facet Iagolnitzer, D
Souillard, B
author_sort Iagolnitzer, D
collection CERN
description Rigorous melts are obtained for the two-point correlations in lattice spin-/sup 1///sub 2/ systems in v-dimensional space for interaction potentials r/sup -s/ (s>0). The ferromagnetic condition is imposed. It is shown that the correlations cannot decay faster than the potential. At low activity or large magnetic field they decay precisely as r/sup -s/. For arbitrary non-zero magnetic fields and arbitrary reciprocal temperatures they decay at least as r/sup -k/. (15 refs).
id cern-878493
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1977
record_format invenio
spelling cern-8784932019-09-30T06:29:59Zhttp://cds.cern.ch/record/878493engIagolnitzer, DSouillard, BDecay of correlations for slowly decreasing potentialsCondensed MatterRigorous melts are obtained for the two-point correlations in lattice spin-/sup 1///sub 2/ systems in v-dimensional space for interaction potentials r/sup -s/ (s>0). The ferromagnetic condition is imposed. It is shown that the correlations cannot decay faster than the potential. At low activity or large magnetic field they decay precisely as r/sup -s/. For arbitrary non-zero magnetic fields and arbitrary reciprocal temperatures they decay at least as r/sup -k/. (15 refs).CERN-TH-2284oai:cds.cern.ch:8784931977
spellingShingle Condensed Matter
Iagolnitzer, D
Souillard, B
Decay of correlations for slowly decreasing potentials
title Decay of correlations for slowly decreasing potentials
title_full Decay of correlations for slowly decreasing potentials
title_fullStr Decay of correlations for slowly decreasing potentials
title_full_unstemmed Decay of correlations for slowly decreasing potentials
title_short Decay of correlations for slowly decreasing potentials
title_sort decay of correlations for slowly decreasing potentials
topic Condensed Matter
url http://cds.cern.ch/record/878493
work_keys_str_mv AT iagolnitzerd decayofcorrelationsforslowlydecreasingpotentials
AT souillardb decayofcorrelationsforslowlydecreasingpotentials

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