CRITICAL AND TOPOLOGICAL PROPERTIES OF CLUSTER BOUNDARIES IN THE 3D ISING-MODEL

Authors
DOTSENKO VS WINDEY P HARRIS G MARINARI E MARTINEC E PICCO M
Citation
Vs. Dotsenko et al., CRITICAL AND TOPOLOGICAL PROPERTIES OF CLUSTER BOUNDARIES IN THE 3D ISING-MODEL, Physical review letters, 71(6), 1993, pp. 811-814
Citations number
17
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
71
Issue
6
Year of publication
1993
Pages
811 - 814
Database
ISI
SICI code
0031-9007(1993)71:6<811:CATPOC>2.0.ZU;2-T
Abstract
We analyze the ensemble of surfaces surrounding critical clusters at T = T(c) in the 3D Ising model. We find that N(g)(A), the number of sur faces of genus g and area A, behaves as A(x(g))e(-muA). We show that m u is constant and x(g) is approximately linear; the sum SIGMA(g) N(g)( A) scales as a power of A. The cluster volume is proportional to its s urface area. We discuss similar results for the ordinary spin clusters of the 3D Ising model and for 3D bond percolation.