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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2017

Zone clearance in an infinite TASEP with a step initial condition

Résumé

The TASEP is a paradigmatic model of out-of-equilibrium statistical physics, for which many quantities have been computed, either exactly or by approximate methods. In this work we study two new kinds of observables that have some relevance in biological or traffic models. They represent the probability for a given clearance zone of the lattice to be empty (for the first time) at a given time, starting from a step density profile. Exact expressions are obtained for single-time quantities, while more involved history-dependent observables are studied by Monte Carlo simulation, and partially predicted by a phenomenological approach.

Dates et versions

hal-02139041 , version 1 (24-05-2019)

Identifiants

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Julien Cividini, Cecile Appert-Rolland. Zone clearance in an infinite TASEP with a step initial condition. Journal of Physics A: Mathematical and Theoretical, 2017, 50 (26), pp.265002. ⟨10.1088/1751-8121/aa72d4⟩. ⟨hal-02139041⟩
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