Several theoretical models based on totally asymmetric simple exclusion process (TASEP) have been extensively utilized to study various non-equilibrium transport phenomena. Inspired by the the role of microtubule-transported vesicles in intracellular transport, we propose a generalized TASEP model, where two distinct particles are directed to hop stochastically in opposite directions on a flexible lattice immersed in a three dimensional pool of diffusing particles. We investigate the interplay between lattice conformation and bidirectional transport by obtaining the stationary phase diagrams and density profiles within the framework of mean field theory. For the case when configuration of flexible lattice is independent of particle density on lattice, the phase diagram only differs quantitatively in comparison to that obtained for bidirectional transport on rigid lattice. However, if the lattice occupancy governs the global conformation of lattice, in addition to the pre-existing phases for bidirectional transport a new asymmetric shock-low density phase originates in the system. We identified that this phase is sensitive to finite size effect and vanishes in the thermodynamic limit.

中文翻译：

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柔性格子双向传输的协同动力学

几种基于完全不对称简单排除过程 (TASEP) 的理论模型已被广泛用于研究各种非平衡传输现象。受微管运输囊泡在细胞内运输中的作用的启发，我们提出了一个广义的 TASEP 模型，其中两个不同的粒子被引导在一个浸入三维扩散粒子池的柔性晶格上以相反的方向随机跳跃。我们通过在平均场理论的框架内获得固定相图和密度分布来研究晶格构象和双向传输之间的相互作用。对于柔性晶格的配置与晶格上的粒子密度无关的情况，相图与刚性晶格上的双向传输相比，仅在数量上有所不同。然而，如果晶格占有率控制晶格的整体构象，那么除了预先存在的双向传输相之外，系统中还会产生一个新的不对称冲击低密度相。我们发现该相对有限尺寸效应敏感并且在热力学极限内消失。