Interaction vs inhomogeneity in a periodic TASEP

Beatrice Mina; Alex Paninforni; Alessandro Pelizzola; Marco Pretti

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arXiv · 2311.03872

Interaction vs inhomogeneity in a periodic TASEP

Beatrice Mina·Alex Paninforni·Alessandro Pelizzola·Marco Pretti

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Abstract

We study the non-equilibrium steady states in a totally-asymmetric simple-exclusion process with periodic boundary conditions, also incorporating (i) an extra (nearest-neighbour) repulsive interaction and (ii) hopping rates characterized by a smooth spatial inhomogeneity. We make use of a generalized mean-field approach (at the level of nearest-neighbour pair clusters), in combination with kinetic Monte Carlo simulations. It turns out that the so-called shock phase can exhibit a lot of qualitatively different subphases, including multiple-shock phases, and a minimal-current shock phase. We argue that the resulting, considerably rich phase diagram should be relatively insensitive to minor details of either interaction or spatial inhomogeneity. As a consequence, we also expect that our results help elucidate the nature of shock subphases detected in previous studies.

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Beatrice Mina, Alex Paninforni, Alessandro Pelizzola, Marco Pretti. 2023-11-07. Interaction vs inhomogeneity in a periodic TASEP. https://arxiv.org/abs/2311.03872

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