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The symbiotic contact process: phase transitions, hysteresis cycles, and bistability
C. I. N. Sampaio Filho, T. B. dos Santos, N. A. M. Araújo +3
We performed Monte Carlo simulations of the symbiotic contact process on different spatial dimensions (). On the complete and random graphs (infinite dimension), we observe hyst…
Overdamped dynamics of particles with repulsive power-law interactions
André A. Moreira, César M. Vieira, Humberto A. Carmona +2
We investigate the dynamics of overdamped -dimensional systems of particles repulsively interacting through short-ranged power-law potentials, . We sho…
Elastic backbone defines a new transition in the percolation model
Cesar I. N. Sampaio Filho, José S. Andrade, Hans J. Herrmann +1
The elastic backbone is the set of all shortest paths. We found a new phase transition at above the classical percolation threshold at which the elastic backbone becomes d…
General continuum approach for dissipative systems of repulsive particles
C. M. Vieira, H. A. Carmona, J. S. Andrade +1
We propose a general coarse-graining method to derive a continuity equation that describes any dissipative system of repulsive particles interacting through short-ranged potentials…
Stochastic Loewner Evolution Relates Anomalous Diffusion and Anisotropic Percolation
H. F. Credidio, A. A. Moreira, H. J. Herrmann +1
We disclose the origin of anisotropic percolation perimeters in terms of the Stochastic Loewner Evolution (SLE) process. Precisely, our results from extensive numerical simulations…
Geometrical and transport properties of sequential adsorption clusters
E. B. Araújo, A. A. Moreira, H. J. Herrmann +2
We investigate transport properties of percolating clusters generated by irreversible cooperative sequential adsorption (CSA) on square lattices with Arrhenius rates given by ki= q…