摘要翻译:
我们在一个维度上研究了一族意见形成模型,其中选民与当地环境结盟的倾向非线性地依赖于不同意的邻居的比例。根据投票规则中的这种非线性,种群可能表现出向零磁化或向一致的偏向,平均磁化通常不守恒。我们使用解耦近似来截断多点自旋关联的方程组,从而导出达到给定共识的终态的概率作为初始磁化强度的函数。通过研究Sznajd模型,还考虑了选民受较远选民影响的情况。
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英文标题:
《Dynamics of Non-Conservative Voters》
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作者:
R. Lambiotte and S. Redner
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最新提交年份:
2008
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分类信息:
一级分类:Physics 物理学
二级分类:Data Analysis, Statistics and Probability
数据分析、统计与概率
分类描述:Methods, software and hardware for physics data analysis: data processing and storage; measurement methodology; statistical and mathematical aspects such as parametrization and uncertainties.
物理数据分析的方法、软硬件:数据处理与存储;测量方法;统计和数学方面,如参数化和不确定性。
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:Physics Education 物理教育
分类描述:Report of results of a research study, laboratory experience, assessment or classroom practice that represents a way to improve teaching and learning in physics. Also, report on misconceptions of students, textbook errors, and other similar information relative to promoting physics understanding.
一项研究、实验室经验、评估或课堂实践的结果报告,它代表了一种改进物理教与学的方法。此外,报告学生的误解,教科书错误,以及其他与促进物理理解有关的类似信息。
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英文摘要:
We study a family of opinion formation models in one dimension where the propensity for a voter to align with its local environment depends non-linearly on the fraction of disagreeing neighbors. Depending on this non-linearity in the voting rule, the population may exhibit a bias toward zero magnetization or toward consensus, and the average magnetization is generally not conserved. We use a decoupling approximation to truncate the equation hierarchy for multi-point spin correlations and thereby derive the probability to reach a final state of a given consensus as a function of the initial magnetization. The case when voters are influenced by more distant voters is also considered by investigating the Sznajd model.
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PDF链接:
https://arxiv.org/pdf/712.0364