Temporal evolution of product shock measures in TASEP with sublattice-parallel update

Green functions for the TASEP with sublattice parallel update

We consider the totally asymmetric simple exclusion process (TASEP) in discrete time with the sublattice parallel dynamics describing particles moving to the right on the one-dimensional infinite chain with equal hoping probabilities. Using sequentially two mappings, we show that the model is equivalent to the TASEP with the backward-ordered sequential update in the case when particles start and finish their motion not simultaneously. The Green functions are obtained exactly in a determinant form for different initial and final conditions.

论带有随机阻塞的子格TASEP中的相变

On the phase transition in the sublattice TASEP with stochastic blockage

本文研究了带有随机阻塞缺陷的子格TASEP中的非平衡相变，利用矩阵乘积假设精确求解了稳态巨正则系综的压缩率和密度关联，揭示了临界点处压缩率发散及相分离态中因长程有效相互作用导致的压缩率消失现象。

Pinned or moving: states of a single shock in a ring

Totally asymmetric exclusion processes (TASEP) with open boundaries are known to exhibit moving shocks or delocalised domain walls (DDW) for sufficiently small equal injection and extraction rates. In contrast TASEPs in an inhomogeneous ring have been shown to display pinned shocks or localised domain walls (LDW) under similar conditions [see, e.g., H. Hinsch and E. Frey, {\em Phys. Rev. Lett.} {\bf 97}, 095701 (2006)]. By studying periodic exclusion processes composed of a driven (TASEP) and a diffusive segments, we uncover smooth transitions between LDW and DDW; the latter mimics DDWs in an …

Impurity-induced shocks in the asymmetric exclusion process with long-range hopping

We consider the totally asymmetric simple exclusion process (TASEP) on the periodic chain in the presence of a single impurity site that is inaccessible to other particles and therefore acts as a static defect. Particles are allowed to advance any distance l \geq 1 on the right with the probability that decays as l^-(1+sigma), where sigma > 1. Despite the long range of hopping, we find the same type of phase transition that occurs in the standard short-range TASEP with a defect site where defect induces a macroscopic shock in the stationary state. In particular, our model displays two main fea…

Matrix product solution to a 2-species TASEP with open integrable boundaries

We present an explicit representation for the matrix product ansatz for some two-species TASEP with open boundary conditions. The construction relies on the integrability of the models, a property that constrains the possible rates at the boundaries. The realisation is built on a tensor product of copies of the DEHP algebras. Using this explicit construction, we are able to calculate the partition function of the models. The densities and currents in the stationary state are also computed. It leads to the phase diagram of the models. Depending on the values of the boundary rates, we obtain for…

周期性TASEP中的相互作用与非均匀性

Interaction vs inhomogeneity in a periodic TASEP

本研究针对含最近邻排斥作用与空间非均匀跳跃率的周期性完全非对称简单排他过程，结合广义平均场方法与动力学蒙特卡洛模拟，发现激波相存在多种子相，且所得丰富相图对细节不敏感，有助于阐明已有研究中激波子相的本质。