We consider a finite number of particles that move in $\mathbb Z$ 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.
Separation versus diffusion in a two species system
DE MASI, Anna;
2015-01-01
Abstract
We consider a finite number of particles that move in $\mathbb Z$ 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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
PublishedVersion-BJPS276.pdf
accesso aperto
Tipologia:
Documento in Versione Editoriale
Licenza:
Copyright dell'editore
Dimensione
207.86 kB
Formato
Adobe PDF
|
207.86 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
