具有颗粒排斥和阻塞的平行车道上的驱动输运
Driven Transport on Parallel Lanes with Particle Exclusion and Obstruction
摘要：
我们研究了一个驱动的双通道系统，其中不同通道上的粒子相互阻碍彼此的运动，扩展了Popkov和Peschel [1]的早期模型。这种阻碍可能发生在生物学背景下，由于空间位阻，其中马达蛋白通过在微管上“行走”来携带货物。类似地，该模型作为一个描述经典的自旋输运带电粒子与内部状态的单向移动的晶格。三个制度的定性不同的行为被确定取决于车道之间的耦合强度。对于小的和大的耦合强度的模型可以映射到一个通道的问题，而一个新的和丰富的相行为出现中间的。我们得到一个近似的，但定量准确的理论描述在一个网站集群近似，并获得洞察相行为通过电流密度关系结合的极值电流原理。我们的结果证实了随机模拟。[1]波普科夫和我。Peschel，Phys.Rev.E64，026126（2001）.
英文摘要：
We investigate a driven two-channel system where particles on different lanes mutually obstruct each others motion extending an earlier model by Popkov and Peschel [1]. This obstruction may occur in biological contexts due to steric hinderance where motor proteins carry cargos by `walking' on microtubules. Similarly, the model serves as a description for classical spin transport where charged particles with internal states move unidirectionally on a lattice. Three regimes of qualitatively different behavior are identified depending on the strength of coupling between the lanes. For small and large coupling strengths the model can be mapped to a one-channel problem, whereas a new and rich phase behavior emerges for intermediate ones. We derive an approximate but quantitatively accurate theoretical description in terms of a one-site cluster approximation, and obtain insight into the phase behavior through the current-density relations combined with an extremal-current principle. Our results are confirmed by stochastic simulations. [1] V. Popkov and I. Peschel, Phys. Rev. E 64, 026126 (2001).
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