标题： 噪声投票模型中的极化诱导应力 显示英文标题

标题： Polarization-induced stress in the noisy voter model

摘要： 一种新的关于意见形成动力学的模型被提出并在平均场水平上进行了分析。 它可以被视为一种噪声投票模型的推广，其中代理通过复制他人和由系统极化程度影响的内在机制来更新其二元状态。 它还考虑了当极化增加时，代理是增强还是减弱其内在机制。 发现了稳态概率的四种相或形状（单峰、双峰、W型和M型）。 在单峰（分别为双峰）相中，复制（分别为内在）机制是全局占优的，而在W（分别为M）相中，复制（分别为内在）机制在接近共识状态时是相关的，而随着接近共存状态，其影响会减弱。 在热力学极限下，双峰和W相消失，而单峰和M相占主导地位。 从主方程中解析得到的理论结果与数值模拟结果有良好的一致性。 显示英文摘要

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.