Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
Hydrostatic limit for the symmetric exclusion process with long jumps: supper-diffusive case
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Keywords

exclusion process with long jumps
super-diffusion
fractional Fick’s law
proceso de exclusión con salto largos
super-difusión
ley de Fick fraccionaria

How to Cite

Jiménez Oviedo, B., & Ramírez Jiménez, J. (2020). Hydrostatic limit for the symmetric exclusion process with long jumps: supper-diffusive case. Revista De Matemática: Teoría Y Aplicaciones, 28(1), 79–94. https://doi.org/10.15517/rmta.v28i1.36294

Abstract

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.

 
https://doi.org/10.15517/rmta.v28i1.36294
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References

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