Artículos de revistas
Separation versus diffusion in a two species system
Fecha
2015Registro en:
De Masi, Anna; Ferrari, Pablo Augusto; Separation versus diffusion in a two species system; Brazilian Statistical Association; Brazilian Journal Of Probability And Statistics; 29; 2; -1-2015; 387-412
0103-0752
CONICET Digital
CONICET
Autor
De Masi, Anna
Ferrari, Pablo Augusto
Resumen
We consider a finite number of particles that move in ZZ as independent random walks. The particles are of two species that we call aa and bb. The rightmost aa-particle becomes a bb-particle at constant rate, while the leftmost bb-particle becomes aa-particle at the same rate, independently. We prove that in the hydrodynamic limit the evolution is described by a nonlinear system of two PDE’s with free boundaries.