论文标题
通过复制方法处理随机顺序添加
Treating random sequential addition via the replica method
论文作者
论文摘要
尽管许多物理过程本质上都是非平衡的，但这种现象的理论和建模滞后于平衡系统的理论处理背后。可用于描述平衡系统的强大理论工具的多样性启发了策略，这些策略将非平衡系统映射到等效的平衡类似物中，以便可以使用标准统计机械方法进行询问。在这项工作中，我们通过复制方法重新审视了从非平衡随机顺序添加过程中的映射到平衡多组分混合物，从而可以对非平衡结构量的理论预测进行理论预测。我们通过将理论预测与随机顺序添加的数值模拟进行比较来验证上述方法。
While many physical processes are non-equilibrium in nature, the theory and modeling of such phenomena lag behind theoretical treatments of equilibrium systems. The diversity of powerful theoretical tools available to describe equilibrium systems has inspired strategies that map non-equilibrium systems onto equivalent equilibrium analogs so that interrogation with standard statistical mechanical approaches is possible. In this work, we revisit the mapping from the non-equilibrium random sequential addition process onto an equilibrium multi-component mixture via the replica method, allowing for theoretical predictions of non-equilibrium structural quantities. We validate the above approach by comparing the theoretical predictions to numerical simulations of random sequential addition.
