论文标题
在猝灭密集的对称排除过程中，示踪剂的累积生成功能
Cumulant generating functions of a tracer in quenched dense symmetric exclusion processes
论文作者
论文摘要
对称排除过程（SEP），其中颗粒在一个1D晶格上跳动，并以每个位置只能有一个粒子，是相互作用粒子系统的范式模型。最近，已经表明，初始条件的性质 - 退火或淬火 - 对示踪剂扩散的长期特性具有定量影响。但是，到目前为止，在淬火情况下的所有研究都集中在SEP的低密度极限上。在这里，我们在静止的初始条件下得出了示踪剂位置的累积生成函数。重要的是，我们的方法还允许我们考虑（i）SEP中有偏见的示踪剂的非平衡情况，以及（ii）在密度一步中的对称示踪剂。在前一种情况下，我们表明最初的条件具有惊人的影响，并改变了累积物对偏见的依赖性。
The Symmetric Exclusion Process (SEP), where particles hop on a 1D lattice with the restriction that there can only be one particle per site, is a paradigmatic model of interacting particle systems. Recently, it has been shown that the nature of the initial conditions - annealed or quenched - has a quantitative impact on the long-time properties of tracer diffusion. However, so far, all the studies in the quenched case focused on the low-density limit of the SEP. Here, we derive the cumulant generating function of the tracer position in the dense limit with quenched initial conditions. Importantly, our approach also allows us to consider the nonequilibrium situations of (i) a biased tracer in the SEP and (ii) a symmetric tracer in a step of density. In the former situation, we show that the initial conditions have a striking impact, and change the very dependence of the cumulants on the bias.
