论文标题
在低温下具有耗散的Ising模型的节奏行为
Rhythmic behavior of an Ising Model with dissipation at low temperature
论文作者
论文摘要
在本文中，我们考虑了具有耗散模型的GLAUBER动力学，在通过让逆温度和体积以适当的缩放为单位的介质状态下，在介观式中获得了耗散的动力学。在此限制中，磁化具有周期性的行为。已经显示了许多均值场模型的自组织集体周期性，但据我们所知，这是与短程相互作用的第一个例子。这支持了这样一种观点，即自组织周期性与平均场假设无关，而是一种与短距离相互作用兼容的热力学现象。
In this paper we consider the Glauber dynamics for the one-dimensional Ising model with dissipation, in a mesoscopic regime obtained by letting inverse temperature and volume go to infinity with a suitable scaling. In this limit the magnetization has a periodic behavior. Self-organized collective periodicity has been shown for many mean-field models but, to our knowledge, this is the first example with short-range interaction. This supports the view that self-organized periodicity is not linked with the mean-field assumption but it is a thermodynamic phenomenon compatible with short range interactions.
