Variational approach to the phase diagram of rigid membranes
U.Marini Bettolo Marconi e A.Maritan
International Journal of Modern Physics B , 4615 (1993).
$D$-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.