Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition (Q2454864)
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| Language | Label | Description | Also known as |
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| English | Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition |
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Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition (English)
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22 October 2007
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The paper provides an analysis of the dynamics of the one-dimensional totally asymmetric simple exclusion process (TASEP). To begin with one calculates the multi-time distribution function of the position fluctuations of a tagged particle in the TASEP with step initial conditions. One discusses the relationship between the time evolution of a tagged particle in the TASEP with the step initial condition and the stochastic growth of the Young diagram. Then one considers the scaling limit of the multi-time distribution function by using a saddle point method. The paper concludes with some comments on the correlation of current fluctuations.
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asymmetric simple exclusion process
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Kardar-Parisi-Zhang (KPZ) universality class
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random matrices
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Tracy-Widom distribution
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Airy process
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