耦合双稳态单元有限阵列的统计力学
Statistical Mechanics of finite arrays of coupled bistable elements
摘要：
本文讨论了当噪声强度、大小和耦合参数变化时，描述有限个耦合、噪声、双稳态系统的单个集体变量的平衡。我们在参数空间中识别不同的区域。在渐近无限尺寸极限下，已有的结果与有限尺寸极限下的结果有很大的不同。采用一种构造近似一维Langevin方程的方法。该方程为理解即使在存在外部驱动力的情况下的集体行为提供了有用的工具。
英文摘要：
We discuss the equilibrium of a single collective variable characterizing a finite set of coupled, noisy, bistable systems as the noise strength, the size and the coupling parameter are varied. We identify distinct regions in parameter space. The results obtained in prior works in the asymptotic infinite size limit are significantly different from the finite size results. A procedure to construct approximate 1-dimensional Langevin equation is adopted. This equation provides a useful tool to understand the collective behavior even in the presence of an external driving force.
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