End to end distance on contour loops of random gaussian surfaces

Details End to end distance on contour loops of random gaussian surfaces End to end distance on contour loops of random gaussian surfaces

2000-12-07

arxiv.org/abs/cond-mat/0012105v1

Physics

Condensed Matter

Statistical Mechanics

7 pages

Scientific paper

10.1103/PhysRevLett.86.1283

A self consistent field theory that describes a part of a contour loop of a random Gaussian surface as a trajectory interacting with itself is constructed. The exponent \nu characterizing the end to end distance is obtained by a Flory argument. The result is compared with different previuos derivations and is found to agree with that of Kondev and Henley over most of the range of the roughening exponent of the random surface.

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