论文标题

在非现场potts模型中的多个亚稳态状态

Multiple metastable states in an off-lattice Potts model

论文作者

Farías, Constanza, Davis, Sergio

论文摘要

一组组件之间的相互作用通常在科学的多个领域(社会科学,生物学,材料科学,复杂的动力学系统等)中使用,采用了热力学和统计力学方法。在这项工作中,我们研究了最近提出的二维Potts模型[Eur。物理。 J. B 87,78(2014)],最初是由代理人意见的动力学动机,并由最大熵推理程序获得的汉密尔顿人描述。我们对模型中的一阶相变进行了微型和规范的蒙特卡洛模拟,揭示了具有亚稳态区域的热量曲线。此外,我们报告了多个亚稳态状态之间的“切换”行为。我们还注意到,该模型的热力学与具有长距离相互作用的系统具有惊人的相似性,即使相互作用短距离。

The interactions between a group of components are commonly studied in several areas of science (social science, biology, material science, complex dynamical systems, among others) using the methods of thermodynamics and statistical mechanics. In this work we study the properties of the recently proposed off-lattice, two-dimensional Potts model [Eur. Phys. J. B 87, 78 (2014)], originally motivated by the dynamics of agent opinions, and which is described by a Hamiltonian obtained by a maximum entropy inference procedure. We performed microcanonical and canonical Monte Carlo simulations of the first-order phase transition in the model, revealing a caloric curve with metastable regions. Furthermore, we report a "switching" behavior between multiple metastable states. We also note that the thermodynamics of the model has striking similarities with systems having long-range interactions, even though the interactions are short-ranged.

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