Effects of inhomogeneous influence of individuals on an orderdisorder transition in opinio.pdf

Effects of inhomogeneous influence of individuals on an order-disorder transition in opinion dynamics Jian-Yue Guan,1, ∗ Zhi-Xi Wu,1, 2, † and Ying-Hai Wang1, ‡ 1Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu, 730000, China 2Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong, China (Dated: Received: date / Revised version: date) We study the effects of inhomogeneous influence of individuals on collective phenomena. We focus ana- lytically on a typical model of the majority rule, applied to the completely connected agents. Two types of 7 individuals A and B with different influence activity are introduced. The individuals A and B are distributed 0 randomly with concentrations ν and 1 − ν at the beginning and fixed further on. Our main result is that the 0 location of the order-disorder transition is affected due to the introduction of the inhomogeneous influence. This 2 result highlights the importance of inhomogeneous influence between different types of individuals during the v process of opinion updating. o N PACS numbers: 02.50.-r, 87.23.Ge, 89.75.Fb, 05.50.+q 1 1 In recent years, a large class of interdisciplinary prob- how the inhomogeneous influence between two types of indi- lems has been successfully studied with methods of statis- viduals affects the order-disorder transition. For this purpose, ] h tical physics, in particular those related to the characteriza-