论文标题
在一个维度中的干扰和亚稳定性：从动力学约束的iSing链到Riviera模型
Jamming and metastability in one dimension: from the kinetically constrained Ising chain to the Riviera model
论文作者
论文摘要
具有动力学约束的Ising链提供了许多完全不可逆的零温度动力学的例子，从而导致具有指数次数的吸引子的稳定性。在大多数情况下，可以将约束的零温动力学映射到随机顺序吸附模型上。我们基于约束的格劳伯链链的示例提供了简短的教学审查，这些综述是这些模型的动力学及其吸引子的确切结果，这些结果是通过上述映射获得的。 Puljiz等人最近引入的Riviera模型。行为与动力学约束的ising链相似。但是，这种完全不可逆的沉积模型不享受表征随机顺序吸附模型的屏蔽属性。因此，它既不能映射到这样的模型上，也不能通过分析方法来解决。我们在Riviera模型的吸引子上介绍了一系列新型结果，该结果通过针对较小的系统进行详尽的枚举获得，并为较大的系统获得了广泛的模拟，并将这些结果视为可用于动力学约束的Ising Chains的确切透视。
The Ising chain with kinetic constraints provides many examples of totally irreversible zero-temperature dynamics leading to metastability with an exponentially large number of attractors. In most cases, the constrained zero-temperature dynamics can be mapped onto a model of random sequential adsorption. We provide a brief didactic review, based on the example of the constrained Glauber-Ising chain, of the exact results on the dynamics of these models and on their attractors that have been obtained by means of the above mapping. The Riviera model introduced recently by Puljiz et al. behaves similarly to the kinetically constrained Ising chains. This totally irreversible deposition model however does not enjoy the shielding property characterising models of random sequential adsorption. It can therefore neither be mapped onto such a model nor (in all likelihood) be solved by analytical means. We present a range of novel results on the attractors of the Riviera model, obtained by means of an exhaustive enumeration for smaller systems and of extensive simulations for larger ones, and put these results in perspective with the exact ones which are available for kinetically constrained Ising chains.
