A rudimentary Markovian model of atomic diffusion

Jean-Baptiste Gouéré (1, 2)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
2 LAPCS - Laboratoire de Probabilités, Combinatoire et Statistique

We introduce and study an interacting particle system. The evolution is Markovian. The elementary step of the dynamics is the following: one point is randomly chosen in the ambient space, the nearest particle moves to that point. We investigate in particular equilibrium properties of the system.

Mots clés: interacting particle systems; markov processess; stationary measure; stochastic geometry

Domaines: Probabilités [math.PR]; Physique mathématique [math-ph]

Jean-Baptiste Gouéré. A rudimentary Markovian model of atomic diffusion. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2006, 342(2), pp.141-146. ⟨10.1016/j.crma.2005.10.027⟩. ⟨hal-00078643⟩