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<p>This study investigates the dynamics of multi-lane totally asymmetric simple exclusion processes (TASEP) with narrow entrances, focusing on the interactions among heterogeneous particle types moving through parallel lanes without changing lanes. The results reveal a significant suppression of high-density phases in the internal lanes of the system, an effect that intensifies with an increasing number of lanes. Through comprehensive Monte Carlo simulations combined with both simple and cluster mean-field analyses, the cluster mean-field approach demonstrates superior accuracy compared to traditional mean-field theory. This improvement arises because the cluster method explicitly incorporates vertical site correlations, a critical factor often neglected by conventional approaches. This study adopts a four-lane model as the primary framework, making significant contributions to non-equilibrium statistical mechanics while establishing a foundation for future research on complex multi-lane transport systems.</p>

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Suppression of high-density phases in multi-lane asymmetric exclusion processes with narrow entrances

  • 期刊论文

  • 发表日期：

    2025年8月20日

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  • A.-Min Li

摘要

This study investigates the dynamics of multi-lane totally asymmetric simple exclusion processes (TASEP) with narrow entrances, focusing on the interactions among heterogeneous particle types moving through parallel lanes without changing lanes. The results reveal a significant suppression of high-density phases in the internal lanes of the system, an effect that intensifies with an increasing number of lanes. Through comprehensive Monte Carlo simulations combined with both simple and cluster mean-field analyses, the cluster mean-field approach demonstrates superior accuracy compared to traditional mean-field theory. This improvement arises because the cluster method explicitly incorporates vertical site correlations, a critical factor often neglected by conventional approaches. This study adopts a four-lane model as the primary framework, making significant contributions to non-equilibrium statistical mechanics while establishing a foundation for future research on complex multi-lane transport systems.