论文标题
布朗非高斯聚合物扩散和平均场极限中的Queing理论
Brownian non-Gaussian polymer diffusion and queing theory in the mean-field limit
论文作者
论文摘要
我们将质量聚合物中心的布朗非高斯非高斯扩散与微观原因联系起来：当聚合物与单体化学固醇接触时，发生的聚合/解聚现象发生。异常行为是由聚合物临界点触发的，将大规范合奏中的稀释液和致密相分开。在平均场限制中，我们建立了与排队理论的接触，并表明当系统变得至关重要时，聚合物中心的峰度与响应函数相似，这是一般聚合物动力学的结果（Zimm，Rouse，Rouse，Roptation）。平衡和非平衡行为均被完全作为新的随机建模和实验设置的参考研究解决。
We link the Brownian non-Gaussian diffusion of a polymer center of mass to a microscopic cause: the polymerization/depolymerization phenomenon occurring when the polymer is in contact with a monomer chemostat. The anomalous behavior is triggered by the polymer critical point, separating the dilute and the dense phase in the grand canonical ensemble. In the mean-field limit we establish contact with queuing theory and show that the kurtosis of the polymer center of mass diverges alike a response function when the system becomes critical, a result which holds for general polymer dynamics (Zimm, Rouse, reptation). Both the equilibrium and nonequilibrium behaviors are solved exactly as a reference study for novel stochastic modeling and experimental setup.
