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VOLUME 54 (1991) | ISSUE 1 | PAGE 58
Gaussian manifolds in random media
A unifying picture of scaling properties of D-dimensional Gaussian manifolds embedded in d-dimensional random media is presented. It is demonstrated, in particular, that for the special case of uncorrected disorder manifold is stretched for D > 2d/(4 + d). The phase transitions between different stretched states and from the Gaussian form to the stretched one are predicted for 2d/(2 + d) < D < 2 and 0 < D < 2d/(4 + d)t respectively.