党派选民模型：随机描述与噪声诱导的相变
Partisan Voter Model: Stochastic description and noise-induced transitions
AI总结：
本研究对党派选民模型（PVM）做全面平均场分析并得到相关解析结果，提出考虑个体偏好与自发状态变化的含噪声党派选民模型（NPVM），发现其有限尺寸噪声诱导相变会产生新中间相及两类相变。
摘要：
我们对党派选民模型（Partisan Voter Model, PVM）开展了全面的平均场分析，给出了退出概率、固定时间和准稳态分布的解析结果。此外，与含噪声选民模型类似，我们引入了PVM的含噪声版本，命名为含噪声党派选民模型（Noisy Partisan Voter Model, NPVM），该模型考虑了每个智能体对两种可能状态的偏好，以及个体自发的状态变化。我们发现，含噪声选民模型的有限尺寸噪声诱导相变在NPVM中发生了改变，导致出现新的中间相，以及连续和不连续两种相变类型。
英文摘要：
We give a comprehensive mean-field analysis of the Partisan Voter Model (PVM) and report analytical results for exit probabilities, fixation times, and the quasi-stationary distribution. In addition, and similarly to the noisy voter model, we introduce a noisy version of the PVM, named as the Noisy Partisan Voter Model (NPVM) which accounts for the preferences of each agent for the two possible states, as well as for idiosyncratic spontaneous changes of state. We find that the finite-size noise-induced transition of the noisy voter model is modified in the NPVM leading to the emergence of new intermediate phases and both continuous and discontinuous transitions.
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。
