4 papers
Universality of continuous phase transitions on random Voronoi graphs
Manuel Schrauth, Jefferson S. E. Portela
The Voronoi construction is ubiquitous across the natural sciences and engineering. In statistical mechanics, though, critical phenomena have so far been only investigated on the D…
Relevance of topological disorder on the directed percolation phase transition
Manuel Schrauth, Jefferson S. E. Portela, Florian Goth
Despite decades of research, the precise role of topological disorder in critical phenomena has yet to be fully understood. A major contribution has been the work by Barghathi and…
Fast algorithm for topologically disordered lattices with constant coordination number
Manuel Schrauth, Jefferson S. E. Portela
We present a stochastic algorithm for constructing a topologically disordered (i.e., non-regular) spatial lattice with nodes of constant coordination number, the CC lattice. The co…
A violation of the Harris-Barghathi-Vojta criterion
Manuel Schrauth, Jefferson S. E. Portela, Florian Goth
In 1974, Harris proposed his celebrated criterion: Continuous phase transitions in -dimensional systems are stable against quenched spatial randomness whenever , where …