Výsledky vyhledávání - "exclusion process with long jumps"

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The motion of the tagged particle in asymmetric exclusion process with long jumps

Autor: Zhao, Linjie

We prove the law of large numbers and invariance principles for the tagged particle in the asymmetric exclusion process with long jumps when the process starts from its equilibrium measure.

Externí odkaz: http://arxiv.org/abs/2301.00398

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Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps

Autor: Bernardin, Cedric, Goncalves, Patricia, Jimenez, Byron Oviedo

Publikováno v: Markov Processes and Related Fields, v.25, Issue 2, 217-274, 2019

We consider an exclusion process with long jumps in the box $\Lambda\_N=\{1, \ldots,N-1\}$, for $N \ge 2$, in contact with infinitely extended reservoirs on its left and on its right. The jump rate is described by a transition probability $p(\cdot)$

Externí odkaz: http://arxiv.org/abs/1702.07216

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Fractional Fick's law for the boundary driven exclusion process with long jumps

Autor: Bernardin, Cédric, Jimenez, Byron Oviedo

Publikováno v: ALEA : Latin American Journal of Probability and Mathematical Statistics, Instituto Nacional de Matem\'atica Pura e Aplicada, 2017, 14, pp.473-501

A fractional Fick's law and fractional hydrostatics for the one dimensional exclusion process with long jumps in contact with infinite reservoirs at different densities on the left and on the right are derived.

Externí odkaz: http://arxiv.org/abs/1603.01234

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Akademický článek

Fractional Fick's law for the boundary driven exclusion process with long jumps.

Autor: Bernardin, Cédric¹ cbernard@unice.fr, Jiménez Oviedo, Byron¹ byron@unice.fr

Publikováno v: ALEA. Latin American Journal of Probability & Mathematical Statistics. 2017, Vol. 14, p473-501. 29p.

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Non-equilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps

Autor: Jara, Milton D.

Publikováno v: Communication on Pure and Applied Mathematics 62 (2009), no. 2, 198--214

We prove an invariance principle for a tagged particle in a simple exclusion process out of equilibrium. The scaling limit is a time-inhomogeneous process of independent increments, related to the solution of a fractional heat equation.
Comment:

Externí odkaz: http://arxiv.org/abs/0707.4491

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A variational coupling for a totally asymmetric exclusion process with long jumps but no passing

Autor: Seppalainen, Timo

Publikováno v: Hydrodynamic limits and related topics (Toronto, ON, 1998), 117-130, Fields Inst. Commun., 27, Amer. Math. Soc., Providence, RI, 2000

We prove a weak law of large numbers for a tagged particle in a totally asymmetric exclusion process on the one-dimensional lattice. The particles are allowed to take long jumps but not pass each other. The object of the paper is to illustrate a spec

Externí odkaz: http://arxiv.org/abs/math/9906192

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

Autor: Jeremías Ramírez Jiménez, Byron Jiménez Oviedo

Publikováno v: Revista de Matemática Teoría y Aplicaciones, Volume: 28, Issue: 1, Pages: 79-94, Published: JUL 2021
Revista de Matemática: Teoría y Aplicaciones vol. 28 no.1 79–94 2020
Repositorio UNA
Universidad Nacional de Costa Rica
instacron:UNA
Revista de Matemática: Teoría y Aplicaciones; Vol. 28 No. 1 (2021): Revista de Matemática: Teoría y Aplicaciones; 79-94
Revista de Matemática: Teoría y Aplicaciones; Vol. 28 Núm. 1 (2021): Revista de Matemática: Teoría y Aplicaciones; 79-94
Revista de Matemática; Vol. 28 N.º 1 (2021): Revista de Matemática: Teoría y Aplicaciones; 79-94
Portal de Revistas UCR
Universidad de Costa Rica
instacron:UCR

Hydrostatic behavior for the one dimensional exclusion process withlong jumps in contact with infinite reservoirs at different densities are de-rived. The jump rate is described by a transition probabilitypwhich isproportional to|· |−(γ+1)for1< �

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69fbe7b58e61fa57fe39c72a399e1094
http://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S1409-24332021000100079&lng=en&tlng=en

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