柔性晶格上双向输运的合作动力学
Cooperative dynamics in bidirectional transport on flexible lattice
摘要：
基于完全不对称简单排斥过程（TASEP）的几种理论模型已被广泛用于研究各种非平衡输运现象。受微管转运囊泡在细胞内转运中的作用的启发，我们提出了一个广义的TASEP模型，其中两个不同的粒子被定向到浸没在扩散粒子的三维池中的柔性晶格上的相反方向上的跳跃随机数。在平均场论的框架内，我们通过获得稳态相图和密度分布来研究晶格构象和双向输运之间的相互作用。当再循环强度与颗粒密度无关时，相图的拓扑结构发生了定量的变化。然而，如果晶格占据率控制了晶格的整体构象，则除了预先存在的双向输运相之外，系统中还产生了新的非对称激波低密度相。我们发现该相对有限尺寸效应敏感，在热力学极限下消失。
英文摘要：
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 recycling strength is independent of density of particles, the topology of phase diagram alters quantitatively. 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.
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