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Defect-induced anticorrelations in molecular motor traffic
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2021-06-01 , DOI: 10.1088/1751-8121/abfe73
G M Schütz

We revisit the nonequilibrium phase transition between a spatially homogeneous low-density phase and a phase-separated high-density state in the deterministic sublattice totally asymmetric simple exclusion process with stochastic defect. We discuss this phase transition in a grandcanonical ensemble for which we obtain exact results for the stationary current-density correlations and for the average collective velocity. We identify defect-induced anticorrelations that are absent in similar boundary-induced phase transitions. The average collective velocity vanishes at the phase transition and in the phase-separated state due to its macroscopic spatial inhomogeneity.



中文翻译:

分子运动交通中缺陷引起的反相​​关性

我们重新审视了具有随机缺陷的确定性亚晶格中空间均匀的低密度相和相分离的高密度状态之间的非平衡相变。我们在盛大正则系综中讨论这种相变,为此我们获得了稳定电流密度相关性和平均集体速度的准确结果。我们确定了在类似的边界引起的相变中不存在的缺陷引起的反相​​关性。由于其宏观空间不均匀性,平均集体速度在相变和相分离状态中消失。

更新日期:2021-06-01
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