Central limit theorem for a tagged particle in asymmetric simple exclusion

Patrícia Gonçalves

Stochastic Processes and their Applications, 2008, vol. 118, issue 3, 474-502

Abstract: We prove a functional central limit theorem for the position of a tagged particle in the one-dimensional asymmetric simple exclusion process for hyperbolic scaling, starting from a Bernoulli product measure conditioned to have a particle at the origin. We also prove that the position of the tagged particle at time t depends on the initial configuration, through the number of empty sites in the interval [0,(p-q)[alpha]t] divided by [alpha], on the hyperbolic time scale and on a longer time scale, namely N4/3.

Keywords: Asymmetric; exclusion; Equilibrium; fluctuations; Boltzmann-Gibbs; principle; Tagged; particle (search for similar items in EconPapers)
Date: 2008
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