Nonuniversality in crumpled manifolds
- 29 June 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 58 (26) , 2733-2737
- https://doi.org/10.1103/physrevlett.58.2733
Abstract
The continuum theory of self-avoiding D-dimensional manifolds with fixed connectivity, in d dimensions, is considered. The exponent γ is argued to exist only for integer D It is shown that its ε=4D-(2-D)d expansion is not universal at 0(ε), but depends on the shape of the manifold’s boundary. γ is calculated for a hyperellipsoid. New universal contact exponents are given for various points of a crumpled manifold.Keywords
This publication has 20 references indexed in Scilit:
- Bilocal regularization of models of random surfacesPublished by Elsevier ,2002
- Rigid Surfaces in a Space with Large DimensionalityEurophysics Letters, 1986
- Statistical Mechanics of Tethered SurfacesPhysical Review Letters, 1986
- Effects of Thermal Fluctuations on Systems with Small Surface TensionPhysical Review Letters, 1985
- Planar diagrams, two-dimensional lattice gravity and surface modelsNuclear Physics B, 1985
- Statics and Dynamics of Polymeric FractalsPhysical Review Letters, 1984
- Random surfaces in high dimensionsPhysics Letters B, 1984
- Simulating random surfacesPhysics Letters B, 1984
- The size of random surfacesPhysics Letters B, 1984
- Quantum geometry of bosonic stringsPhysics Letters B, 1981