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Vertex dynamics during domain growth in three-state models
A. Szolnoki, G. Szabo
Topological aspects of interfaces are studied by comparing quantitatively the evolving three-color patterns in three different models, such as the three-state voter, Potts and exte…
Dynamical mean-field approximations for a diffusive pair contact process
Attila Szolnoki
Dynamical mean-field approximations are performed to study the phase transition of a pair contact process with diffusion in different spatial dimensions. The level of approximation…
Phase transitions for rock-scissors-paper game on different networks
Attila Szolnoki, Gyorgy Szabo
Monte Carlo simulations and dynamical mean-field approximations are performed to study the phase transitions in rock-scissors-paper game on different host networks. These graphs ar…
Three-state Potts model in combination with the rock-scissors-paper game
Attila Szolnoki, Gyorgy Szabo, Maria Ravasz
We study a three-state Potts model extended by allowing cyclic dominance between the states as it appears for the rock-scissors-paper game. Monte Carlo simulations are performed on…
Spreading of families in cyclic predator-prey models
Maria Ravasz, Gyorgy Szabo, Attila Szolnoki
We study the spreading of families in two-dimensional multispecies predator-prey systems, in which species cyclically dominate each other. In each time step randomly chosen individ…