TY - JOUR
T1 - Kinematical numerical study of the crumpling transition in crystalline surfaces
AU - Ambjørn, Jan
AU - Durhuus, Bergfinnur
AU - Jonsson, Thordur
N1 - Funding Information: in part by the Icelandic Science Foundation.
PY - 1989/4/17
Y1 - 1989/4/17
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/0011622027
U2 - 10.1016/0550-3213(89)90057-6
DO - 10.1016/0550-3213(89)90057-6
M3 - Article
SN - 0550-3213
VL - 316
SP - 526
EP - 558
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -