非费勒粒子系统的冻结相变
Freezing transitions in non-Fellerian particle systems
摘要：
非费勒过程显示了在标准相互作用粒子系统中看不到的现象。我们考虑冻结过渡的一维非费勒过程，这是建立从阿贝尔沙堆添加，在一种情况下，自旋翻转被添加，在另一种情况下，所谓的反沙堆减法。在第一种情况下，作为沙堆添加率的函数，存在从沙堆过程的非平凡不变测度到不变测度的急剧过渡。对于沙堆加反沙堆的组合，存在从一种冻结状态到另一种反状态的急剧转变
英文摘要：
Non-Fellerian processes show phenomena that are unseen in standard interacting particle systems. We consider freezing transitions in one-dimensional non-Fellerian processes which are built from the abelian sandpile additions to which in one case, spin flips are added, and in another case, the so called anti-sandpile subtractions. In the first case and as a function of the sandpile addition rate, there is a sharp transition from a non-trivial invariant measure to the invariant measure of the sandpile process. For the combination sandpile plus anti-sandpile, there is a sharp transition from one frozen state to the other anti-state
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