Spin models on thin graphs

C. F. Baillie; D. A. Johnston

doi:10.1016/0920-5632(96)00142-9

Spin models on thin graphs

C. F. Baillie, D. A. Johnston

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We discuss the utility of analytical and numerical investigation of spin models, in particular spin glasses, on ordinary "thin" random graphs (in effect Feynman diagrams) using methods borrowed from the "fat" graphs of two dimensional gravity. We highlight the similarity with Bethe lattice calculations and the advantages of the thin graph approach both analytically and numerically for investigating mean field results.

Original language	English
Pages (from-to)	649-652
Number of pages	4
Journal	Nuclear Physics B - Proceedings Supplements
Volume	47
Issue number	1-3
DOIs	https://doi.org/10.1016/0920-5632(96)00142-9
Publication status	Published - Mar 1996
Event	Nuclear Physics B (Proceedings Supplement) - Duration: 1 Jan 1997 → …

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10.1016/0920-5632(96)00142-9

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title = "Spin models on thin graphs",

abstract = "We discuss the utility of analytical and numerical investigation of spin models, in particular spin glasses, on ordinary {"}thin{"} random graphs (in effect Feynman diagrams) using methods borrowed from the {"}fat{"} graphs of two dimensional gravity. We highlight the similarity with Bethe lattice calculations and the advantages of the thin graph approach both analytically and numerically for investigating mean field results.",

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year = "1996",

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AU - Johnston, D. A.

PY - 1996/3

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N2 - We discuss the utility of analytical and numerical investigation of spin models, in particular spin glasses, on ordinary "thin" random graphs (in effect Feynman diagrams) using methods borrowed from the "fat" graphs of two dimensional gravity. We highlight the similarity with Bethe lattice calculations and the advantages of the thin graph approach both analytically and numerically for investigating mean field results.

AB - We discuss the utility of analytical and numerical investigation of spin models, in particular spin glasses, on ordinary "thin" random graphs (in effect Feynman diagrams) using methods borrowed from the "fat" graphs of two dimensional gravity. We highlight the similarity with Bethe lattice calculations and the advantages of the thin graph approach both analytically and numerically for investigating mean field results.

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U2 - 10.1016/0920-5632(96)00142-9

DO - 10.1016/0920-5632(96)00142-9

M3 - Article

VL - 47

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JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

IS - 1-3

T2 - Nuclear Physics B (Proceedings Supplement)

Y2 - 1 January 1997

ER -

Spin models on thin graphs

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