Hydrostatic limit for the symmetric exclusion process with long jumps: supper-diffusive case

Hydrostatic behavior for the one dimensional exclusion process with long jumps in contact with infinite reservoirs at different densities are derived. The jump rate is described by a transition probability p which is proportional to | · |−(γ+1) for 1 < γ < 2 (supper-diffusive case). Th...

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Detalles Bibliográficos
Autores: Jiménez Oviedo, Byron, Ramírez Jiménez, Jeremías
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Costa Rica
Institución:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Idioma:inglés
español
OAI Identifier:oai:portal.ucr.ac.cr:article/36294
Acceso en línea:https://revistas.ucr.ac.cr/index.php/matematica/article/view/36294
Access Level:acceso abierto
Palabra clave:exclusion process with long jumps
super-diffusion
fractional Fick’s law
proceso de exclusión con salto largos
super-difusión
ley de Fick fraccionaria
Descripción
Sumario:Hydrostatic behavior for the one dimensional exclusion process with long jumps in contact with infinite reservoirs at different densities are derived. The jump rate is described by a transition probability p which is proportional to | · |−(γ+1) for 1 < γ < 2 (supper-diffusive case). The reservoirs add or remove particles with rate proportional to κ > 0.