Condensation of handles in the interface of 3D Ising model

Abstract

We analyze the microscopic, topological structure of the interface between domains of opposite magnetization in 3D Ising model near the critical point. This interface exhibits a fractal behaviour with a high density of handles. The mean area is an almost linear function of the genus. The entropy exponent is affected by strong finite-size effects.

11 pages (Latex) with 2 postscript figures included, DFTT-12/93