82 citations · 513 across the 21 of their papers we have counts for
23 papers
Critical points of the random cluster model with Newman-Ziff sampling
Tolson H. Bell, Jerrell M. Cockerham, Clayton M. Mizgerd +2
We present a method for computing transition points of the random cluster model using a generalization of the Newman-Ziff algorithm, a celebrated technique in numerical percolation…
Critical percolation on the kagome hypergraph
Christian R. Scullard, Jesper Lykke Jacobsen, Robert M. Ziff
We study the percolation critical surface of the kagome lattice in which each triangle is allowed an arbitrary connectivity. Using the method of critical polynomials, we find point…
Bond percolation thresholds on Archimedean lattices from critical polynomial roots
Christian R. Scullard, Jesper Lykke Jacobsen
We present percolation thresholds calculated numerically with the eigenvalue formulation of the method of critical polynomials; developed in the last few years, it has already prov…
Adaptive spectral solution method for the Landau and Lenard-Balescu equations
Christian R. Scullard, Abigail Hickok, Justyna O. Sotiris +3
We present an adaptive spectral method for solving the Landau/Fokker-Planck equation for electron-ion systems. The heart of the algorithm is an expansion in Laguerre polynomials, w…
The probabilistic structure of the geodynamo
Christian R. Scullard, Bruce A. Buffett
One of the most intriguing features of Earth's axial magnetic dipole field, well-known from the geological record, is its occasional and unpredictable reversal of polarity. Underst…
Phase diagram of the triangular-lattice Potts antiferromagnet
Jesper Lykke Jacobsen, Jesús Salas, Christian R. Scullard
We study the phase diagram of the triangular-lattice -state Potts model in the real -plane, where is the temperature variable. Our first goal is to provide an o…