LOOP-ERASED SELF-AVOIDING WALKS IN 2 DIMENSIONS - EXACT CRITICAL EXPONENTS AND WINDING NUMBERS

被引:26
作者
DUPLANTIER, B
机构
[1] Service de Physique Theorique1 1 Laboratoire de la Direction des Sciences de la Matiere, Commissariat à Energie Atomique., Centre d'Etudes de Saclay
来源
PHYSICA A | 1992年 / 191卷 / 1-4期
关键词
D O I
10.1016/0378-4371(92)90575-B
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Loop-erased self-avoiding walks (LESAWs) are defined as walks resulting from sequential erasing of the loops of random walks. The critical properties of LESAWs arc those of a c = -2 conformal theory in two dimensions, and, geometrically, those of subgraphs of spanning trees. In this paper, we derive the exact asymptotic behavior of the set of probabilities P(k) (N) that k (k much greater than 2) LESAWs of length N starting at neighbouring points do not intersect, as well as the exact asymptotic winding angle distribution of a single two-dimensional LESAW.
引用
收藏
页码:516 / 522
页数:7
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