首页 | 本学科首页   官方微博 | 高级检索  
     检索      

用双稳态势场模型研究观点转变的驱动-响应关系
引用本文:王鹏,潘凤春,郭晶晶,李婷婷,王旭明.用双稳态势场模型研究观点转变的驱动-响应关系[J].物理学报,2020(6):43-56.
作者姓名:王鹏  潘凤春  郭晶晶  李婷婷  王旭明
作者单位:宁夏大学物理与电子电气工程学院;宁夏沙漠信息智能感知重点实验室
基金项目:国家自然科学基金(批准号:11665018)资助的课题~~
摘    要:从物理学的视角看,群体观点演化实质可以看作是观点粒子状态变化的集体效应.本文考察在双稳态势中噪声诱导观点粒子的状态转变,利用加权拉盖尔完备正交函数法计算了时间关联函数和描述驱动-响应关系的弛豫时间.理论计算结果表明,噪声诱导作用存在一个临界值Dc,若噪声强度高于临界值,时间关联函数随关联时间呈指数型增加.结果还显示,存在弛豫时间随势垒纵横比/噪声强度变化取值趋于无穷的双奇异点现象.奇异点处无法实现观点粒子状态的转变.弛豫时间与势垒纵横比之间存在线性关系,预示着在双稳态势场中观点粒子受噪声驱动呈现类似牛顿第二定律的驱动-响应关系,而弛豫时间在这个关系中充当表征惯性质量的角色.

关 键 词:观点空间  拉盖尔函数  弛豫时间  驱动-响应关系

Theoretical studies on the drive-response relationship for opinion particles in a bistable potential field
Wang Peng,Pan Feng-Chun,Guo Jing-Jing,Li Ting-Ting,Wang Xu-Ming.Theoretical studies on the drive-response relationship for opinion particles in a bistable potential field[J].Acta Physica Sinica,2020(6):43-56.
Authors:Wang Peng  Pan Feng-Chun  Guo Jing-Jing  Li Ting-Ting  Wang Xu-Ming
Institution:(School of Physics and Electronic-Electrical Engineering,Ningxia University,Yinchuan 750021,China;Ningxia Key Laboratory of Intelligent Sensing for Desert Information,Yinchuan 750021,China)
Abstract:From the perspective of physics,evolution of group opinion can be regarded as the collective effect of the state change of opinion particles.It is similar to a material particle system that there is usually a dynamic criticality in the opinion state transition of a group,and is dominated by a scaling law.To exhibit this phenomenon,a bistable potential field is introduced to mimic the opinion transition by the jump from one stable state to the other.In this investigation,we will focus on the state change of the opinion particles induced by the noise.The time correlation function and the relaxation time describing drive-response relationship are calculated,by using of the generalized Laguerre weight complete set of orthogonal functions method,to reveal the regularity and the relative mechanism governing the state change of the opinion particle confined by the bistable potential and affected by the noise.The results indicate that there is a critical value Dc for noise intensity.When the noise intensity is greater than Dc,the time correlation function will increase exponentially with correlation time t.There also are two points at which the dependence of the relaxation time on the noise intensity/aspect ratio of the energy barrier are divergent.The divergence implies that the state transition of opinion particles cannot be achieved.It is worth noting that there is a linear relationship between the relaxation time and the aspect ratio of energy barrier.This relation means that there is a drive-response relationship for opinion particles in the bistable potential field just like the Newton’s second law,in which the time relaxation plays the role of quasi-inertia.This result also implies another important conclusion that the energy and information may be equated due to the fact that the opinion particle transiting from one stable state to the other needs obtaining energy to climb over the barrier,and from another point of view,the transition can be regarded as the opinion particle having been obtaining information via the noise correlation.These investigations may provide us with new understandings to the evolution of group opinion.
Keywords:opinion space  Laguerre function  relaxation time  drive-response relationship
本文献已被 CNKI 维普 等数据库收录!
点击此处可从《物理学报》浏览原始摘要信息
点击此处可从《物理学报》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号