AI 中文总结
本文针对粒子数守恒、分析难度大且结果极少的动力学约束格点气体，刻画其一维下的三类普适性类，明确模型的遍历性特征。
AI 中文摘要
动力学约束格点气体是粒子数守恒的相互作用粒子系统，因动力学约束存在退化速率。过去十年，其非守恒对应模型——动力学约束自旋模型的研究取得重大进展：在一维和二维下，已对这类模型的普适性类有较好理解。但守恒系统的分析难度大，相关结果极少。本文旨在描述一维情形下的普适性，将刻画三类普适性类，确定此类模型是否总是遍历、从不遍历，或是否呈现遍历性相变。
英文摘要
Kinetically constrained lattice gases are interacting particle systems with conserved number of particles, having degenerate rates caused by a kinetic constraint. Over the past decade, there has been major progress in the study of their non-conservative counterpart, kinetically constrained spin models: in dimensions 1 and 2, we have a good understanding of the universality classes of these models. However, the conservative systems are much more challenging to analyze, and very few results are available. The purpose of this paper is to describe universality in the one dimensional case. We will characterize the three universality classes, determining whether such a model is always ergodic, never ergodic, or exhibits an ergodicity phase transition.
