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...

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Detalles Bibliográficos
Publicado: 2015
Materias:
Free boundaries PDE
Hydrodynamic limit
Interacting particle systems
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01030752_v29_n2_p387_DeMasi
http://hdl.handle.net/20.500.12110/paper_01030752_v29_n2_p387_DeMasi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_01030752_v29_n2_p387_DeMasi
record_format dspace
spelling paper:paper_01030752_v29_n2_p387_DeMasi2023-06-08T15:10:22Z Separation versus diffusion in a two species system Free boundaries PDE Hydrodynamic limit Interacting particle systems 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. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01030752_v29_n2_p387_DeMasi http://hdl.handle.net/20.500.12110/paper_01030752_v29_n2_p387_DeMasi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Free boundaries PDE
Hydrodynamic limit
Interacting particle systems
spellingShingle Free boundaries PDE
Hydrodynamic limit
Interacting particle systems
Separation versus diffusion in a two species system
topic_facet Free boundaries PDE
Hydrodynamic limit
Interacting particle systems
description 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.
title Separation versus diffusion in a two species system
title_short Separation versus diffusion in a two species system
title_full Separation versus diffusion in a two species system
title_fullStr Separation versus diffusion in a two species system
title_full_unstemmed Separation versus diffusion in a two species system
title_sort separation versus diffusion in a two species system
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01030752_v29_n2_p387_DeMasi
http://hdl.handle.net/20.500.12110/paper_01030752_v29_n2_p387_DeMasi
_version_ 1768542357339242496

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