Abstract
We prove a non-equilibrium functional central limit theorem for the position of a tagged particle in mean-zero one-dimensional zero-range process. The asymptotic behavior of the tagged particle is described by a stochastic differential equation governed by the solution of the hydrodynamic equation.
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C. Landim was partially supported by the John S. Guggenheim Memorial Foundation, FAPERJ and CNPq; M.D. Jara and S. Sethuraman were partially supported by NSA-H982300510041 and NSF-DMS-0504193.
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Jara, M.D., Landim, C. & Sethuraman, S. Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes. Probab. Theory Relat. Fields 145, 565–590 (2009). https://doi.org/10.1007/s00440-008-0178-2
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DOI: https://doi.org/10.1007/s00440-008-0178-2