An exact universal amplitude ratio for percolation
Katherine A. Seaton
TL;DR
This paper derives an exact universal amplitude ratio for two-dimensional percolation using the dilute A model and its connection to the q-state Potts model, providing precise theoretical insights.
Contribution
It presents the first exact calculation of the universal amplitude ratio for 2D percolation via the dilute A model and Potts model relationship.
Findings
Exact value of the universal amplitude ratio $ ilde{R}_{\xi}$ for 2D percolation
Establishes a link between dilute A model results and percolation properties
Provides a theoretical benchmark for percolation universality class
Abstract
The universal amplitude ratio for percolation in two dimensions is determined exactly using results for the dilute A model in regime 1, by way of a relationship with the q-state Potts model for q<4.
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