动力学约束立方格子系统的平衡树堆积构型中的自发对称性破缺
Spontaneous symmetry-breaking in equilibrium tree-packing configurations of a kinetically constrained cubic-lattice system
AI总结：
本文以K=2的Fredrikson-Anderson自旋模型为对象，研究立方格子系统中由动力学约束诱导的热力学相变，发现临界化学势μ*≈-3.252处发生气-固相变，被占据位点出现对称性破缺，该相变在二维正方格子中不存在。
AI中文摘要：
我们以超参数K=2的Fredrikson-Anderson自旋模型作为代表性动力学系统，探究立方格子中由动力学约束诱导的热力学相变。每个格子位点可翻转其二进制占据状态，条件是其六个最近邻位点中至多有一个当前被占据。与全空状态动力学连通的全部微观构型，由具有单一全局约束的平衡配分函数描述，该约束即被占据位点不形成闭合回路，而是在格子中组织为不同的树状组分。我们在立方系统中发现了连续的热力学气-固相变，并确定了临界化学势μ*≈-3.252，在该临界值处，平衡树堆积构型的被占据位点开始偏向两个嵌套立方子格子中的一个。这种热力学相变在二维正方格子中不存在。
英文摘要：
We explore kinetic-constraint induced thermodynamic phase transition in the cubic lattice, employing the Fredrikson-Anderson spin model with hyperparameter $K=2$ as a representative kinetic system. Each lattice site may flip its binary occupation state if at most one of its six nearest neighbors is currently occupied. The whole set of microscopic configurations that are kinetically connected with the fully empty one is described by an equilibrium partition function with a single global constraint, that is, the occupied sites do not form closed loops but instead organize into different tree components in the lattice. We discover a continuous thermodynamic gas--crystal phase transition in the cubic system and determine the critical chemical potential $μ^* \approx -3.252$, at which the occupied sites of the equilibrium tree-packing configurations start to prefer one of the two nested cubic sublattices. This thermodynamic phase transition is absent in the two-dimensional square lattice.
