Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear zero-range processes

Milton Jara; Claudio Landim; Sunder Sethuraman

Annales de l'I.H.P. Probabilités et statistiques (2013)

  • Volume: 49, Issue: 3, page 611-637
  • ISSN: 0246-0203

Abstract

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Nonequilibrium fluctuations of a tagged, or distinguished particle in a class of one dimensional mean-zero zero-range systems with sublinear, increasing rates are derived. In Jara–Landim–Sethuraman (Probab. Theory Related Fields145 (2009) 565–590), processes with at least linear rates are considered. A different approach to establish a main “local replacement” limit is required for sublinear rate systems, given that their mixing properties are much different. The method discussed also allows to capture the fluctuations of a “second-class” particle in unit rate, symmetric zero-range models.

How to cite

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Jara, Milton, Landim, Claudio, and Sethuraman, Sunder. "Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear zero-range processes." Annales de l'I.H.P. Probabilités et statistiques 49.3 (2013): 611-637. <http://eudml.org/doc/272093>.

@article{Jara2013,
abstract = {Nonequilibrium fluctuations of a tagged, or distinguished particle in a class of one dimensional mean-zero zero-range systems with sublinear, increasing rates are derived. In Jara–Landim–Sethuraman (Probab. Theory Related Fields145 (2009) 565–590), processes with at least linear rates are considered. A different approach to establish a main “local replacement” limit is required for sublinear rate systems, given that their mixing properties are much different. The method discussed also allows to capture the fluctuations of a “second-class” particle in unit rate, symmetric zero-range models.},
author = {Jara, Milton, Landim, Claudio, Sethuraman, Sunder},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {interacting; particle system; zero-range; tagged; nonequilibrium; diffusion},
language = {eng},
number = {3},
pages = {611-637},
publisher = {Gauthier-Villars},
title = {Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear zero-range processes},
url = {http://eudml.org/doc/272093},
volume = {49},
year = {2013},
}

TY - JOUR
AU - Jara, Milton
AU - Landim, Claudio
AU - Sethuraman, Sunder
TI - Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear zero-range processes
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2013
PB - Gauthier-Villars
VL - 49
IS - 3
SP - 611
EP - 637
AB - Nonequilibrium fluctuations of a tagged, or distinguished particle in a class of one dimensional mean-zero zero-range systems with sublinear, increasing rates are derived. In Jara–Landim–Sethuraman (Probab. Theory Related Fields145 (2009) 565–590), processes with at least linear rates are considered. A different approach to establish a main “local replacement” limit is required for sublinear rate systems, given that their mixing properties are much different. The method discussed also allows to capture the fluctuations of a “second-class” particle in unit rate, symmetric zero-range models.
LA - eng
KW - interacting; particle system; zero-range; tagged; nonequilibrium; diffusion
UR - http://eudml.org/doc/272093
ER -

References

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