Separation versus diffusion in a two species system
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...
| Autores principales: | , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_01030752_v29_n2_p387_DeMasi |
| Aporte de: |
| Sumario: | 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 nonlinear system of two PDE’s with free boundaries. © Brazilian Statistical Association, 2015. |
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