In a previous study we developed a mean-field theory of dynamical transitions for the totally-asymmetric simple-exclusion process 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.

中文翻译：

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Langmuir动力学不平衡影响TASEP动力学转变：均场理论

在先前的研究中，我们开发了一种具有所谓的平衡机制的，具有开放边界和Langmuir动力学的完全不对称简单排除过程的动力学跃迁的均值场理论，其特征是相等的结合速率和解结合速率。在这里，我们表明，简单地包括不平衡速率的可能性会产生意想不到的更丰富的动态相位图。特别是，当前的工作预测了一种不寻常的动力学转变类型，它与平衡系统的一阶相变表现出某些相似性。我们还指出，不同类型的动力学转变伴随着（平均场）弛豫谱的不同结构变化。