104 citations · 277 across the 22 of their papers we have counts for
8 papers · 1 filter
Metastability of synchronous and asynchronous dynamics
Emilio N. M. Cirillo, Vanessa Jacquier, Cristian Spitoni
Metastability is an ubiquitous phenomenon in nature, which interests several fields of natural sciences. Its description in the framework of thermodynamics and statistical mechanic…
Phase transitions in random mixtures of elementary cellular automata
Emilio N. M. Cirillo, Francesca R. Nardi, Cristian Spitoni
We investigate one-dimensional Probabilistic Cellular Automata, called Diploid Elementary Cellular Automata (DECA), obtained as random mixture of two different Elementary Cellular…
Nucleation for one-dimensional long-range Ising models
Aenout C. D. van Enter, Bruno Kimura, Wioletta Ruszel +1
In this note we study metastability phenomena for a class of long-range Ising models in one-dimension. We prove that, under suitable general conditions, the configuration -1 is the…
Basic Ideas to Approach Metastability in Probabilistic Cellular Automata
Emilio N. M. Cirillo, Francesca R. Nardi, Cristian Spitoni
Cellular Automata are discrete--time dynamical systems on a spatially extended discrete space which provide paradigmatic examples of nonlinear phenomena. Their stochastic generaliz…
Effect of self-interaction on the phase diagram of a Gibbs-like measure derived by a reversible Probabilistic Cellular Automata
Emilio N. M. Cirillo, P. -Y. Louis, W. M. Ruszel +1
Cellular Automata are discrete-time dynamical systems on a spatially extended discrete space which provide paradigmatic examples of nonlinear phenomena. Their stochastic generaliza…
Competitive nucleation in metastable systems
Emilio N. M. Cirillo, Francesca R. Nardi, Cristian Spitoni
Metastability is observed when a physical system is close to a first order phase transition. In this paper the metastable behavior of a two state reversible probabilistic cellular…