Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient

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dc.creatorJara, Milton
dc.creatorGoncalves, Patricia
dc.date2008-04-18
dc.date.accessioned2026-07-07T13:07:28Z
dc.date.available2026-07-07T13:07:28Z
dc.descriptionWe prove a law of large numbers and a central limit theorem for a tagged particle in a symmetric simple exclusion process in the one-dimensional lattice with variable diffusion coefficient. The scaling limits are obtained from a similar result for the current through -1/2 for a zero-range process with bond disorder. For the CLT, we prove convergence to a fractional Brownian motion of Hurst exponent 1/4.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0804.3018
dc.identifierhttp://arxiv.org/abs/0804.3018
dc.identifierJournal of Statistical Physics 132 (2008), no.6, 1135--1143
dc.identifierdoi:10.1007/s10955-008-9595-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228099
dc.subjectStatistical Mechanics
dc.subjectProbability
dc.titleScaling limits of a tagged particle in the exclusion process with variable diffusion coefficient
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