异质交通模型中作为驱动退火无序的行为演化及其与n-向量模型的关系
Evolution of behaviors in heterogeneous traffic models as driven annealed disorders and its relation to the n-vector model
摘要：
在一维非均质系统中，整个交通动力学很大程度上依赖于前车的行为。这一结果适用于一类满足以下性质的车辆交通模型。相互作用是单向的。粒子的动力学使速度最大化或减小粒子之间的间隙。颗粒很硬。我们用这个结果来显示交通模型和图论之间的联系，其结果是，驾驶风格通过社会传染传播，随机出现，系统的不均匀性变得动态，或\textit{annealed}，对特定区域的参数空间。将参数解释为在参数空间中定义的向量的条目，这些系统的演化动力学与\textit {n-vector model}的渐近行为之间出现类比。当模仿与突变过程的时间尺度比$ τ_i / τ_m $小时，“方向”对应于最慢策略的参数集的有组织状态是有利的，而如果该比率大，则无优先方向的无组织状态是有利的。
英文摘要：
In one-dimensional, heterogeneous systems, the whole traffic dynamics depend strongly on the behavior of the leading vehicle. This result holds for a class of vehicular traffic models satisfying the following properties. The interactions are unidirectional. The dynamics of the particles maximize the velocity or reduces the gap between particles. The particles are hard. We use this result to show a link between traffic models and graphs theory with the consequence that as driving styles spread through social contagion and appear randomly, the inhomogeneities of the system becomes dynamical, or \textit{annealed}, toward specific regions in the space of parameters. Interpreting parameters as entries of vectors defined in the parameters space appear analogies between the evolutionary dynamics of these systems and asymptotic behaviors of the \textit {n-vector model}. When the time-scale ratio of imitation to the mutation processes, $ τ_i / τ_m $, is small an organized state where "orientation" corresponds to the set of parameters of the slowest strategies is favored, and if this ratio is big an unorganized state without a preferential orientation is favored.
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