Totally asymmetric exclusion process with long-range hopping

Abstract

Generalization of the one-dimensional totally asymmetric exclusion process (TASEP) with open boundary conditions in which particles are allowed to jump $l$ sites ahead with the probability $p_l\sim 1/l^{\sigma +1}$ is studied by Monte Carlo simulations and the domain-wall approach. For $\sigma >1$ the standard TASEP phase diagram is recovered, but the density profiles near the transition lines display new features when $1<\sigma <2$. At the first-order transition line, the domain-wall is localized and phase separation is observed. In the maximum-current phase the profile has an algebraic decay with a $\sigma$-dependent exponent. Within the $\sigma \le 1$ regime, where the transitions are found to be absent, analytical results in the continuum mean-field approximation are derived in the limit $\sigma =-1$.

10 pages, 9 figures

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Cited by in corpus (6)

• Scaling properties of the asymmetric exclusion process with long-range hopping
• Totally Asymmetric Exclusion Process with Hierarchical Long-Range Connections
• Impurity-induced shocks in the asymmetric exclusion process with long-range hopping
• Condensation transition in a model with attractive particles and non-local hops
• Asymmetric simple exclusion process in one-dimensional chains with long-range links
• Absence of phase coexistence in disordered exclusion processes with bypassing