A realistic molecular-level description of catalytic reactions on single-crystal metal surfaces
can be provided by stochastic multisite lattice-gas (msLG) models. This approach has …

Traditional mean-field rate equations of chemical kinetics for spatially uniform systems (1-3)
and the corresponding reaction–diffusion equations describing spatial heterogeneity (4-6) …

The zebrafish is a model organism for pattern formation in vertebrates. Understanding what
drives the formation of its coloured skin motifs could reveal pivotal to comprehend the …

The asymptotic regime of a complex ecosystem with N random interacting species and in the
presence of an external multiplicative noise is analyzed. We find the role of the external …

Schloegl's second model on a (d≥ 2)-dimensional hypercubic lattice involves:(i)
spontaneous annihilation of particles with rate p and (ii) autocatalytic creation of particles at …

We consider Schloegl models (or contact processes) where particles on a square grid
annihilate at a rate p and are created at a rate of kn= n (n− 1)/[N (N− 1)] at empty sites with n …

Threshold versions of Schloegl's model on a lattice, which involve autocatalytic creation and
spontaneous annihilation of particles, can provide a simple prototype for discontinuous non …

We analyze metastability associated with a discontinuous nonequilibrium phase transition in
a stochastic lattice-gas realization of Schloegl's second model for autocatalysis. This model …

We study the dynamics of a class of catalytic surface reactions in which an adsorbed
molecule undergoes dissociation giving oxygen, which then rapidly reacts with H adatoms to …

Schloegl's second model for autocatalysis on a hypercubic lattice of dimension d≥ 2
involves:(i) spontaneous annihilation of particles at lattice sites with rate p; and (ii) …