论文标题
在带有随机阻塞的Sublattice Tasep中的相变
On the phase transition in the sublattice TASEP with stochastic blockage
论文作者
论文摘要
我们重新审视缺陷诱导的非平衡期从很大程度上均匀的自由流相转变，再到带有局部确定性的散装动力学和具有定型缺陷的局部不对称的简单排除过程（TASEP）中相位分离的拥塞相，并模仿一个随机的阻塞。对于由矩阵乘积ANSATZ给出的固定孙子集合的可压缩性和密度相关性获得了精确的结果。在临界密度下，静态可压缩性在相位分离状态以上的临界点上方差异，由于强烈的非局部相关性，压缩性消失了。这些相关性来自尽管显微动力学的位置，但在固定状态下出现的颗粒之间的远程相互作用引起。
We revisit the defect-induced nonequilibrium phase transition from a largely homogeneous free-flow phase to a phase-separated congested phase in the sublattice totally asymmetric simple exclusion process (TASEP) with local deterministic bulk dynamics and a stochastic defect that mimicks a random blockage. Exact results are obtained for the compressibility and density correlations for a stationary grandcanonical ensemble given by the matrix product ansatz. At the critical density the static compressibility diverges while in the phase separated state above the critical point the compressibility vanishes due to strong non-local correlations. These correlations arise from a long range effective interaction between particles that appears in the stationary state despite the locality of the microscopic dynamics.
