The Study Of The Social Organization Behavior Based On The Mean-field Theory

With the development of productivity and the improving economics, people’s communication are more frequently. We want to describe and explain the social’s phenomena, like the public opinion and the information in communication. With the development of these research, people are increasingly aware of the importance of these studies within nowadays.This paper is meanly focus on using the mean-field method to study the self-organized social community, we especially interest in the phenomena of multi-stability. We use the mean-field method and langevin equation to establish a mathematical physics model in a small open community. Such phenomena in opinion evolution can be explained as people’s different tendency towards the different opinion in community, with two important parameter:"persuading intensity" and "Temperature". We establish a model based on a mechanism as time-discrete iterate steps. To focus on the probability distribution and the transition rate, we introduce the method "potential landscape" to calculate the theoretical results and use CPP program to simulate. Finally, we compare the results:The system has bistability feature:A suitable parameter "Persuading" and low "Temperature" will lead the potential well deeper. The deeper potential well make the state of system escaping from the well harder. And the transfer time will longer, that means the system is more stable.The model give an deep interpretation about the phenomena of bistability in social community. And the theoretical results and simulation results fit well. To study the stability in bistable phenomena, the potential landscape method can give a more accurate results. We hope the model we suggest can be widely used in many other problem in interdiscipline.