生长界面和晶格气体的精确可解模型：Arcetri模型、老化和对数亚老化
Exactly solvable models of growing interfaces and lattice gases: the Arcetri models, ageing and logarithmic sub-ageing
摘要：
受铁磁体球形模型类比的启发，定义了三种Arcetri模型。他们提出了新的普适性类，无论是界面的增长，否则晶格气体。它们不同于普通的Edwards-Wilkinson和Kardar-Parisi-Zhang普适类。它们的非平衡演化可以通过精确计算它们的二次散射子和响应来研究。第一个模型，在这两种解释，有一个临界点，在任何方面，并显示简单的老化和低于临界。第二和第三个模型在零温度下，在一维，其中都显示对数亚老化，其中几个不同的类型被确定。物理上，第二个模型描述了一个格子气和第三个模型的界面生长。一个清晰的物理图像上随后的时间和长度尺度的亚老化过程出现。
英文摘要：
Motivated by an analogy with the spherical model of a ferromagnet, the three Arcetri models are defined. They present new universality classes, either for the growth of interfaces, or else for lattice gases. They are distinct from the common Edwards-Wilkinson and Kardar-Parisi-Zhang universality classes. Their non-equilibrium evolution can be studied from the exact computation of their two-time correlators and responses. The first model, in both interpretations, has a critical point in any dimension and shows simple ageing at and below criticality. The exact universal exponents are found. The second and third model are solved at zero temperature, in one dimension, where both show logarithmic sub-ageing, of which several distinct types are identified. Physically, the second model describes a lattice gas and the third model interface growth. A clear physical picture on the subsequent time- and length-scales of the sub-ageing process emerges.
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