Self-avoiding random surfaces are analyzed by renormalization-group methods. The Hausdorff dimension 1/ν and the critical plaquette fugacity are computed for different dimensionalities d; in particular, ν=1/2-ε/4+O(ε2) for d=2+ε. The model describes "sheet polymers" in a good solvent: A Flory type of argument yields ν=3/(4+d), in good agreement with the renormalization results, and a critical dimensionality dc=8, with ν=1/4.
Scaling Behavior of Self-Avoiding Random Surfaces
MARITAN, AMOS;STELLA, ATTILIO
1984
Abstract
Self-avoiding random surfaces are analyzed by renormalization-group methods. The Hausdorff dimension 1/ν and the critical plaquette fugacity are computed for different dimensionalities d; in particular, ν=1/2-ε/4+O(ε2) for d=2+ε. The model describes "sheet polymers" in a good solvent: A Flory type of argument yields ν=3/(4+d), in good agreement with the renormalization results, and a critical dimensionality dc=8, with ν=1/4.File in questo prodotto:
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