亚稳态平衡之间的跃迁：在二元选择博弈中的应用
Transition between metastable equilibria: applications to binary-choice games
AI总结：
该研究针对具有活动溢出的动力学Ising博弈低温相亚稳态平衡跃迁问题，通过解析方法与动力学蒙特卡洛模拟对比，发现无限时间极限下不存在活动溢出导致的指数增强效应，为复杂系统亚稳态跃迁研究提供了新见解。
摘要：
本文在无限时间极限下研究了具有活动溢出效应的动力学Ising博弈（伊辛博弈）低温相中的亚稳态平衡跃迁。研究表明，有限时间跃迁中由活动溢出导致的指数增强效应在无限时间极限下并不存在。为证明这一点，本文建立了无限时间轨迹的解析描述，提出了一种估算无限时间极限下亚稳态平衡之间跃迁概率的解析方法，并将其结果与kinetic Monte Carlo（动力学蒙特卡洛）模拟的结果进行了对比。本研究阐明了Ising博弈的动力学特性，对理解复杂系统中的亚稳态跃迁具有启示意义。
英文摘要：
Transitions between metastable equilibria in the low-temperature phase of dynamical Ising game with activity spillover are studied in the infinite time limit. It is shown that exponential enhancement due to activity spillover, which takes place in finite-time transitions, is absent in the infinite time limit. In order to demonstrate that, the analytical description for infinite time trajectory is developed. An analytical approach to estimate the probability of transition between metastable equilibria in the infinite time limit is introduced and its results are compared with those of kinetic Monte Carlo simulation. Our study sheds light on the dynamics of the Ising game and has implications for the understanding of transitions between metastable states in complex systems.
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