On diffusivity of a tagged particle in asymmetric zero-range dynamics
نویسندگان
چکیده
منابع مشابه
On diffusivity of a tagged particle in asymmetric zero-range dynamics
Consider a distinguished, or tagged particle in zero-range dynamics on Zd with rate g whose finite-range jump probabilities p possess a drift ∑ j jp(j) 6= 0. We show, in equilibrium, that the variance of the tagged particle position at time t is at least order t in all d ≥ 1 and at most order t in d = 1 and d ≥ 3 for a wide class of rates g. Also, in d = 1, when the jump distribution p is total...
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The one-dimensional totally asymmetric simple exclusion process (TASEP) is considered. We study the time evolution property of a tagged particle in the TASEP with the step initial condition. Calculated is the multi-time joint distribution function of its position. Using the relation of the dynamics of the TASEP to the Schur process, we show that the function is represented as the Fredholm deter...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincare (B) Probability and Statistics
سال: 2007
ISSN: 0246-0203
DOI: 10.1016/j.anihpb.2006.03.002