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arXiv 2001.05741cond-mat.stat-mech
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非平衡朗缪尔动力学影响TASEP动力学转变:平均场论

Unbalanced Langmuir kinetics affects TASEP dynamical transitions: mean-field theory

D. Botto, A. Pelizzola, M. Pretti, M. Zamparo

摘要:

在以前的研究中,我们开发了一个平均场论的动态过渡的完全不对称的简单排斥过程(TASEP)与开放的边界和朗缪尔动力学,在所谓的平衡制度,其特征在于由相等的绑定和未绑定率。在这里,我们表明,简单地包括不平衡率的可能性,产生了一个意想不到的更丰富的动态相图。特别是,目前的工作预测了一种不寻常的类型的动力学转变,表现出一定的相似性与一阶相变的平衡系统。我们还指出,不同类型的动力学转变伴随着不同的结构变化的(平均场)弛豫谱。

英文摘要:

In a previous study we developed a mean-field theory of dynamical transitions for the totally-asymmetric simple-exclusion process (TASEP) with open boundaries and Langmuir kinetics, in the so-called balanced regime, characterized by equal binding and unbinding rates. Here we show that simply including the possibility of unbalanced rates gives rise to an unexpectedly richer dynamical phase diagram. In particular, the current work predicts an unusual type of dynamical transition, which exhibits certain similarities with first-order phase transitions of equilibrium systems. We also point out that different types of dynamical transition are accompanied by different structural changes in the (mean-field) relaxation spectrum.

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