VARIATIONAL APPROACH TO THE PHASE DIAGRAM OF RIGID MEMBRANES
1993 ◽
Vol 07
(27)
◽
pp. 4615-4629
Keyword(s):
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.