摘要翻译：
我们研究了单类离散随机（全局）相位耦合振荡器中的连续（二阶）和间断（一阶）到宏观同步的转变。我们提供了解析和数值证据，证明了跃迁的连续性依赖于耦合系数，在某些非均匀布居中，依赖于猝灭无序的程度。因此，在相对简单的设置中，这类模型表现出各种相当复杂的模型的定性行为特征。此外，我们研究了阈值以上同步的微观基础，并详细讨论了与时均频率和平均场振荡测量有关的违反直觉的微妙之处。最值得注意的是，我们观察到一种阈上部分同步状态，在这种状态下，来自单个振荡器的时间平均频率测量与在总体中观察到的宏观振荡频率不对应。
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英文标题：
《Continuous and discontinuous phase transitions and partial
  synchronization in stochastic three-state oscillators》
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作者：
Kevin Wood, C. Van den Broeck, R. Kawai, and Katja Lindenberg
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Soft Condensed Matter        软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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英文摘要：
  We investigate both continuous (second-order) and discontinuous (first-order) transitions to macroscopic synchronization within a single class of discrete, stochastic (globally) phase-coupled oscillators. We provide analytical and numerical evidence that the continuity of the transition depends on the coupling coefficients and, in some nonuniform populations, on the degree of quenched disorder. Hence, in a relatively simple setting this class of models exhibits the qualitative behaviors characteristic of a variety of considerably more complicated models. In addition, we study the microscopic basis of synchronization above threshold and detail the counterintuitive subtleties relating measurements of time averaged frequencies and mean field oscillations. Most notably, we observe a state of suprathreshold partial synchronization in which time-averaged frequency measurements from individual oscillators do not correspond to the frequency of macroscopic oscillations observed in the population.
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PDF链接：
https://arxiv.org/pdf/707.2996