D-dimensional elastic networks randomly embedded in a d > D dimensional euclidean space; are studied employing Hartree (Gaussian) approximation. In presence of an energy depending on the mean curvature this approach leads to the prediction of a phase transition between a flat and a crumpled regime as the bending rigidity decreases in agreement with previous approximate calculations.
Variational Approach To the Phase-diagram of Rigid Membranes
MARITAN, AMOS
1993
Abstract
D-dimensional elastic networks randomly embedded in a d > D dimensional euclidean space; are studied employing Hartree (Gaussian) approximation. In presence of an energy depending on the mean curvature this approach leads to the prediction of a phase transition between a flat and a crumpled regime as the bending rigidity decreases in agreement with previous approximate calculations.
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