基于平均场方法对社会自组织行为的研究

发布时间：2018-10-10 20:00

【摘要】：随着社会生产力的发展和人类生活水平的提升,人类的交流与交往更加频繁,我们需要对社会现象进行越来越多的描述与解释,对网络舆情以及网络信息的交流与变质过程等的人类社群行为的研究探讨也越来越深入,也越来越意识到此项研究的重要性。本论文利用物理平均场方法对社会自组织网络中的多稳态现象及稀有事件进行了研究。针对社会自组织现象以及由此出现的集群行为,通过运用平均场方法及朗之万方程建立了一个在较小的开放社区内的自组织动力学数学物理模型,在模型中设置了“劝说强度”和“温度”两个关键参数,并把这个模型描述为一个时间离散的迭代过程,引入拟势的方法进行理论了计算,得到模型的理论结果,并利用CPP编写计算程序进行蒙特卡洛模拟计算。理论和模拟计算的研究结果表明：本文提出的理论模型具有双稳态特性。模型中设立的两参数对系统有很大的影响,一个合适的“强度”和较低的“温度”会使得系统出现双稳态。从宏观拟势上观察整个系统,温度较低时系统更难从某一势阱逃逸。同时,“强度”这个参数既不是很高也不是很低的时候可以使得势阱最深。在这个意义上,稳态切换的转移时间变得更长,系统总体将更为稳定。本文中的双稳态模型较好地解释了社会集群的双稳特性,理论模型计算的结果与模拟试验结果吻合。本文提出的模型在解释集群现象的出现以及集群现象的稳定性方面给出了更加精确的计算结果,所用的拟势计算方法和提出的双稳模型可以用在其他交叉学科问题研究上。
[Abstract]:With the development of social productivity and the improvement of human living standards, human communication and communication become more and more frequent. We need to describe and explain more and more social phenomena. The research on human community behavior, such as network public opinion and the exchange and deterioration of network information, is also more and more in-depth, and more aware of the importance of this study. In this paper, the physical mean field method is used to study the multi-stable phenomena and rare events in social self-organized networks. In view of the phenomenon of social self-organization and the resulting cluster behavior, a mathematical and physical model of self-organization dynamics in a small open community is established by using the mean field method and Langevan equation. Two key parameters, "persuasion intensity" and "temperature", are set up in the model, and the model is described as a discrete iterative process in time. The pseudo-potential method is introduced to carry out theoretical calculation, and the theoretical results of the model are obtained. The Monte Carlo simulation calculation is carried out by using CPP program. The theoretical and simulation results show that the proposed model is bistable. The two parameters in the model have great influence on the system. A suitable "strength" and a lower "temperature" will make the system bistable. When the temperature is low, it is more difficult for the system to escape from a potential well. At the same time, when the "intensity" parameter is neither very high nor very low, the potential well is deepest. In this sense, the transition time of steady-state handoff becomes longer and the system will be more stable as a whole. The bistable model in this paper can explain the bistability of social cluster. The calculated results of the theoretical model are in good agreement with the experimental results. The model presented in this paper gives more accurate results in explaining the appearance of cluster phenomenon and the stability of cluster phenomenon. The proposed pseudo-potential calculation method and the proposed bistable model can be used in the study of other interdisciplinary problems.
【学位授予单位】：中国地质大学(北京)
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：O157.5;O211.63

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