Two-dimensional copolymers and exact conformal multifractality

被引：36

作者：

Duplantier, B ^{[1
]}

机构：

[1] Serv Phys Theor Saclay, F-91191 Gif Sur Yvette, France

[2] Inst Henri Poincare, F-75231 Paris 05, France

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.82.880

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider in two dimensions (2D) the most general star-shaped copolymer, mixing random walks (RW) or self-avoiding walks (SAW) with specific mutual avoidance interactions thereof. Its exact conformal scaling dimensions in the plane are derived from an algebraic structure existing on a random lattice (2D quantum gravity). The multifractal dimensions tau(n) of the harmonic measure of a 2D RW or SAW are conformal dimensions of certain star copolymers. The exact associated f(alpha) are identical for a RW or a SAW in 2D. These are the first examples of conformal multifractality.

引用

页码：880 / 883

页数：4

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