论文标题
模型的各种现象学表现出动态大驱动奇点
Varied phenomenology of models displaying dynamical large-deviation singularities
论文作者
论文摘要
动态大泄漏函数的奇异性通常被解释为动态相变的信号和不同动力学阶段的共存，这与自由能的奇异性与平衡相行为之间的对应关系类似。在这里，我们研究了晶格上驱动的随机步行者的模型。这些模型在较大的晶格尺寸的极限中显示出大型传播的奇异性，但是每个模型的现象学类似于相变的程度取决于驾驶的细节。我们还比较了呈现大差异奇异性的千古和非共性模型的行为。我们认为，动力学大泄漏奇点表明模型时间尺度的差异，但不一定与合作行为或不同阶段的存在相关。
Singularities of dynamical large-deviation functions are often interpreted as the signal of a dynamical phase transition and the coexistence of distinct dynamical phases, by analogy with the correspondence between singularities of free energies and equilibrium phase behavior. Here we study models of driven random walkers on a lattice. These models display large-deviation singularities in the limit of large lattice size, but the extent to which each model's phenomenology resembles a phase transition depends on the details of the driving. We also compare the behavior of ergodic and non-ergodic models that present large-deviation singularities. We argue that dynamical large-deviation singularities indicate the divergence of a model timescale, but not necessarily one associated with cooperative behavior or the existence of distinct phases.
