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…
Diffusion and first-passage characteristics on a dynamically evolving support
Manuel Schrauth, Maximilian Schneider
We propose a generalized diffusion equation for a flat Euclidean space subjected to a continuous infinitesimal scale transform. For the special cases of an algebraic or exponential…