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
Autores principales:	De Masi, A., Ferrari, P.A.
Formato:	JOUR
Materias:	Free boundaries PDE Hydrodynamic limit Interacting particle systems
Acceso en línea:	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	todo:paper_01030752_v29_n2_p387_DeMasi
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spelling	todo:paper_01030752_v29_n2_p387_DeMasi2023-10-03T14:57:29Z Separation versus diffusion in a two species system De Masi, A. Ferrari, P.A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 De Masi, A. Ferrari, P.A. 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.
format	JOUR
author	De Masi, A. Ferrari, P.A.
author_facet	De Masi, A. Ferrari, P.A.
author_sort	De Masi, A.
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
url	http://hdl.handle.net/20.500.12110/paper_01030752_v29_n2_p387_DeMasi
work_keys_str_mv	AT demasia separationversusdiffusioninatwospeciessystem AT ferraripa separationversusdiffusioninatwospeciessystem
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Separation versus diffusion in a two species system

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