Universal amplitude ratios of two-dimensional percolation from field theory

2010/01/29 by Gesualdo Delfino, Jacopo Viti, John Cardy · 4 citations
Mathematics · Physics and Astronomy · #Amplitude #Cluster (spacecraft) #Directed percolation #Lattice (music) #Percolation (cognitive psychology) #Percolation theory #Percolation threshold #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1088/1751-8113/43/15/152001

published as J. Phys. A: Math. Theor. 43 (2010) 152001 · 8 pages

arxiv created 2010/01/29 · openalex publication_date 2010/03/25 · arxiv updated 2014/10/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We complete the determination of the universal amplitude ratios of two-dimensional percolation within the two-kink approximation of the form factor approach. For the cluster size ratio, which has for a long time been elusive both theoretically and numerically, we obtain the value 160.2, in good agreement with the lattice estimate 162.5 +/- 2 of Jensen and Ziff.

Citations

• High-precision determination of universal amplitude ratios for theq=3Potts model in two dimensions
• On the space of quantum fields in massive two-dimensional theories
• Universal ratios along a line of critical points. The Ashkin–Teller model

Cited by

• On three-point connectivity in two-dimensional percolation
• Crossing probability and number of crossing clusters in off-critical percolation
• Universal properties of Ising clusters and droplets near criticality
• Conformal partition functions of critical percolation from D 3 thermodynamic Bethe Ansatz equations