AI 中文总结
研究相互作用粒子系统非平稳时间演化，通过有限数量相互作用随机行走揭示隐藏过程。发现半开放边界机制保留有限体积模型显著结构，可据此刻画非平凡双物种、不可逆平稳分布。
AI 中文摘要
相互作用粒子系统的非平稳时间演化通常是一个相当困难的课题。然而，已知一些特殊例子，模型中的隐藏过程使描述变得可处理。这些隐藏过程常表现为有限数量的相互作用随机行走，在某些情况下，它们并非隐藏，而是作为与模型相关的第二类粒子被明确揭示。在此背景下，非对称排斥和指数砌砖工模型就是这样的例子，其分布结构在无限体积中得到证明。我们发现了边界机制，在具有半开放边界的有限体积模型中保留了这种显著结构，这种边界允许普通粒子而非冲击通过。这一发现还使我们能够根据特殊边界速率来刻画非平凡的双物种、不可逆平稳分布。
英文摘要
Non-stationary time evolution of interacting particle systems is in general a rather difficult topic however, exceptional examples are known where hidden processes within the model make the description manageable. These hidden processes often take the form of a finite number of interacting random walks and in some cases, rather than being hidden, were very explicitly revealed as second class particles associated with the model. The examples of asymmetric exclusion and exponential bricklayers model are known in this context, where such distributional structure was demonstrated in infinite volume. Here we find boundary mechanisms that save this remarkable structure in finite volume of the model with semi-open boundaries that let ordinary particles, but not the shocks, through. This finding also allows to characterise nontrivial two-species, non-reversible stationary distributions subject to our special boundary rates.
Comments23 pages, 2 figures
