INVESTIGADORES
FERRARI pablo Augusto
artículos
Título:
Separation versus diffusion in a two species system
Autor/es:
A. DE MASI; P. A. FERRARI
Revista:
BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS
Editorial:
Assoc. Brasileira Estatíst.
Referencias:
Lugar: Sao Paulo; Año: 2015 vol. 29 p. 387 - 412
ISSN:
0103-0752
Resumen:
We consider a finite number of particles that move in Z as independent random walks. The particles are of two species that we call a and b. The rightmost a particle becomes a b particle at constant rate, while the leftmost b particle becomes a particle at the same rate, independently. We prove that in the hydrodynamic limit the evolution is described by a non linear system of two PDE´s with free boundaries.
