基于Hamilton-Jacobi方程的舆论演化研究
Studying on Opinion Evolution by Hamilton-Jacobi Equation
摘要：
基于广义势的Hamilton-Jacobi方程和相应的Langevin方程，对舆论演化进行了物理描述。调查主要集中在参与意见交流过程的参与者的年龄、联系圈和综合素质等异质性方面。意见的演化模式可以通过解Hamilton-Jacobi方程和信息熵来描述。结果表明，参与者的综合素质在形成意见方面起着关键作用。整体素质越高，越容易达成共识。该解还表明，代理人的年龄和联系圈在形成意见方面起着同样重要的作用。时代本质、综合素质、联系圈分别对应于思想成熟度（意见惯性）、理性智慧、环境影响力。因此，信息熵在相平面（年龄、联系圈和综合素质三个变量组合中的两个）上的分布表现了一种观点的演化规律。
英文摘要：
A physical description of an opinion evolution is conducted based on the Hamilton-Jacobi equation derived from a generalized potential and the corresponding Langevin equation. The investigation mainly focuses on the heterogeneities such as age, connection circle and overall quality of the participants involved in the opinion exchange process. The evolutionary patterns of opinion can be described by solution of the Hamilton-Jacobi equation, information entropy. The results show that the overall qualities of the participants play critical roles in forming an opinion. The higher the overall quality is, the easier the consensus can reach. The solution also demonstrates that the age and the connection circle of the agents play equally important roles in forming an opinion. The essence of the age, overall quality, and connection circle corresponds to the maturity of thought (opinion inertia), reason and intelligence, influence strength of the environment, respectively. So the information entropy distributes in the phase planes (two variable combinations out of the three---age, connection circle and overall quality) exhibit the evolution rules of an opinion.
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。
