Kinematical numerical study of the crumpling transition in crystalline surfaces

Jan Ambjørn*, Bergfinnur Durhuus, Thordur Jonsson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)


By analyzing the tangent-tangent correlation in a model of crystalline surfaces with in action depending on the extrinsic curvature, we derive constraints on the possible behaviour of the Hausdorff dimension as a function of the extrinsic-curvature coupling constant λ. For λ sufficiently small, the Hausdorff dimension is infinite, but jumps to a value than smaller than or equal to 4 a critical value λc of λ. For λ above the critical value there is a number of possilbilities, but our numerical data favour a continuously varying Hausdorff dimension, changing from 4 at λc to 2 for λ going to infinity.

Original languageEnglish
Pages (from-to)526-558
Number of pages33
JournalNuclear Physics, Section B
Issue number3
Publication statusPublished - 17 Apr 1989

Bibliographical note

Funding Information:
in part by the Icelandic Science Foundation.


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