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 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.

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关于TASEP亚晶格中具有随机阻塞的相变

我们重新审视了缺陷诱导的非平衡相转变，该过程从亚均晶格完全不对称的简单排斥过程中从基本上均匀的自由流动相过渡到相分离的拥挤相，具有局部确定性整体动力学和模仿随机阻塞的随机缺陷。对于由矩阵乘积ansatz给出的固定大正典系综的可压缩性和密度相关性，获得了准确的结果。在临界密度下，静态可压缩性发散，而在临界点以上的相分离状态下，由于强大的非局部相关性，可压缩性消失了。这些相关性是由于微观动态的局部性而在静止状态下出现的粒子之间的长期有效相互作用所引起的。