噪声投票者模型中极化诱导的压力
Polarization-induced stress in the noisy voter model
AI总结：
提出噪声投票者模型的推广，引入受极化程度影响并可被强化或削弱的内在更新机制，通过主方程解析与模拟揭示单峰、双峰、W和M四类稳态相。
摘要：
本文提出并在平均场层面分析了一种观点形成动力学的新模型。该模型可视为噪声投票者模型的推广，其中智能体通过复制他人以及一种受系统极化程度影响的内在机制来更新其二元状态。模型还考虑了智能体在极化增强时是强化还是削弱其内在机制。研究发现给定状态下智能体比例的稳态概率存在四种相或形态（单峰、双峰、W和M）。在单峰（相应地，双峰）相中，复制（相应地，内在）机制在全局上占主导；而在W（相应地，M）相中，复制（相应地，内在）机制在接近共识状态时是相关机制，但随着趋近共存状态，其影响减弱。在热力学极限下，双峰相和W相消失，而单峰相和M相留存。由主方程解析得到的理论结果与数值模拟吻合良好。
英文摘要：
A new model for the dynamics of opinion formation is proposed and analysed at the mean-field level. It can be regarded as a generalization of the noisy voter model in which agents update their binary states by copying others and by an intrinsic mechanism affected by the degree of polarization in the system. It also takes into account whether the agents enhance or reduce their intrinsic mechanism upon increasing polarization. Four phases or shapes of the steady-state probability of a fraction of agents in a given state are found (unimodal, bimodal, W and M). In the unimodal (resp. bimodal) phase, the copying (resp. intrinsic) mechanism is globally dominant, while in the W (resp. M) phase the copying (resp. intrinsic) mechanism is the relevant one close to the consensus states while it reduces its influence as approaching coexistence. In the thermodynamic limit, the bimodal and W phases disappear, while the unimodal and M phases prevail. The theoretical results, obtained analytically from the master equation, and the numerical simulations are in good agreement.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
