具有并行热浴更新规则的随机动力系统的亚稳定性
Metastability for a stochastic dynamics with a parallel heat bath updating rule
摘要：
考虑了具有平行更新规则的随机动力学的亚稳性问题，其中单个自旋速率等于伊辛近邻相互作用的热浴速率。我们研究了亚稳相的退出，描述了典型的退出路径，并计算了退出时间。我们证明了亚稳态的现象学是不同的热浴动力学的串行实施的情况下观察到的。特别是，我们证明了一个中间棋盘相出现在漂移从负亚稳相的正稳定相。
英文摘要：
We consider the problem of metastability for a stochastic dynamics with a parallel updating rule with single spin rates equal to those of the heat bath for the Ising nearest neighbors interaction. We study the exit from the metastable phase, we describe the typical exit path and evaluate the exit time. We prove that the phenomenology of metastability is different from the one observed in the case of the serial implementation of the heat bath dynamics. In particular we prove that an intermediate chessboard phase appears during the excursion from the minus metastable phase toward the plus stable phase.
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