Author(s):
Gonçalves, Patrícia 
Date: 2008
Persistent ID: http://hdl.handle.net/1822/11584
Origin: RepositóriUM - Universidade do Minho
Subject(s): Asymmetric simple exclusion; Tagged particle
Document details
Central limit theorem for a tagged particle in asymmetric simple exclusion
Description
We prove a functional Central Limit Theorem for the position of a Tagged Particle in the one-dimensional Asymmetric Simple Exclusion Process in the 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, by the number of empty sites in the interval $[0,(p-q)\alpha t]$ divided by $\alpha$ in the hyperbolic and in a longer time scale, namely $N^{4/3}$
We prove a functional Central Limit Theorem for the position of a Tagged Particle in the one-dimensional Asymmetric Simple Exclusion Process in the 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, by the number of empty sites in the interval $[0,(p-q)\alpha t]$ divided by $\alpha$ in the hyperbolic and in a longer time scale, namely $N^{4/3}$
Document Type
Article
Language English
Language English
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