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Article overview
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Flux fluctuations in the one dimensional nearest neighbors symmetric simple exclusion process | A. De Masi
; P. A. Ferrari
; | Date: |
30 Mar 2001 | Subject: | Probability; Mathematical Physics MSC-class: 60K35, 82C20 | math.PR math-ph math.MP | Abstract: | Let $J(t)$ be the the integrated flux of particles in the symmetric simple exclusion process starting with the product invariant measure $
u_
ho$ with density $
ho$. We compute its rescaled asymptotic variance: lim_{t oinfty} t^{-1/2} J(t) = sqrt{2/pi} (1-
ho)
ho Furthermore we show that $t^{-1/4}J(t)$ converges weakly to a centered normal random variable with this variance. From these results we compute the asymptotic variance of a tagged particle in the nearest neighbor case and show the corresponding central limit theorem, results previously proven by Arratia. | Source: | arXiv, math.PR/0103233 | Services: | Forum | Review | PDF | Favorites |
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