Pinned or moving: States of a single shock in a ring.,Physical Review E

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Pinned or moving: States of a single shock in a ring.
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-01 , DOI: 10.1103/physreve.102.012105
Parna Roy ₁ , Anjan Kumar Chandra ₂ , Abhik Basu ₁

Affiliation

Totally asymmetric exclusion processes (TASEPs) with open boundaries are known to exhibit moving shocks or delocalized domain walls (DDWs) for sufficiently small equal injection and extraction rates. In contrast, TASEPs in a ring with a single inhomogeneity display pinned shocks or localized domain walls (LDWs) under equivalent conditions [see, e.g., H. Hinsch and E. Frey, Phys. Rev. Lett. 97, 095701 (2006)]. By studying periodic exclusion processes composed of a driven (TASEP) and a diffusive segment, we discuss gradual fluctuation-induced depinning of the LDW, leading to its delocalization and formation of a DDW-like domain wall, similar to the DDWs in open TASEPs in some limiting cases under long-time averaging. This smooth crossover is controlled essentially by the fluctuations in the diffusive segment. Our studies provide an explicit route to control the quantitative extent of domain-wall fluctuations in driven periodic inhomogeneous systems, and should be relevant in any quasi-one-dimensional transport processes where the availability of carriers is the rate-limiting constraint.

中文翻译：

固定或移动：环中一次震动的状态。

已知具有开放边界的完全不对称排除过程（TASEP）对于足够小的相等注入和提取速率，会表现出移动震荡或离域畴壁（DDW）。相反，在同一个条件下，具有单个不均匀性的环中的TASEP会显示出钉扎震动或局部畴壁（LDW）[参见，例如H.Hinsch和E.Frey，Phys。牧师 97，095701（2006）]。通过研究由驱动（TASEP）和扩散段组成的周期性排斥过程，我们讨论了LDW的逐渐波动诱导的脱钉作用，导致其离域并形成了DDW样的畴壁，类似于开放TASEP中的DDW 。一些极限情况在长期平均下。这种平滑的交叉基本上由扩散段中的波动来控制。我们的研究提供了一条明确的途径来控制驱动的周期性非均匀系统中畴壁波动的定量范围，并且应与载流子的可用性是速率限制约束的任何准一维运输过程有关。

更新日期：2020-07-01

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