Sponsoring Units: APS/SPSChair: Earl Blodgett, Society of Physics StudentsSession Tags:
Undergrad Friendly
Mon. March 4, 8:48 a.m. – 9:00 a.m. CST
208CD
Complex network theory has substantial application in human group emergent behavior due to its ability to represent and analyze the interconnected nature of social systems. Its applications range from sociology to network science, providing valuable knowledge for various fields of study and real-world scenarios. We study the effects of Gabriel Graphs proximity interactions on opinion dynamics. Our network assumes the Euclidean distribution of nodes to form a square lattice, and we consider a σ parameter that displaces the coordinates of the nodes randomly. We analyze network effects on the majority-vote opinion dynamics with social temperature q that drives dissensus. Using Monte Carlo simulations, we obtain magnetization, susceptibility, and Binder cumulant for different values of σ displacement. Our results show that the system undergoes a second-order phase transition that depends on lattice disorder and social temperature.
Presented By
Luiz F. A. de Oliveira (Universidade de Pernambuco)
Authors
Luiz F. A. de Oliveira (Universidade de Pernambuco)
Giuliano G Porciúncula (Universidade de Pernambuco)
André L. M Vilela (Universidade de Pernambuco)
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Majority-vote model on proximity graphs with variable disorder
Mon. March 4, 8:48 a.m. – 9:00 a.m. CST
208CD
Complex network theory has substantial application in human group emergent behavior due to its ability to represent and analyze the interconnected nature of social systems. Its applications range from sociology to network science, providing valuable knowledge for various fields of study and real-world scenarios. We study the effects of Gabriel Graphs proximity interactions on opinion dynamics. Our network assumes the Euclidean distribution of nodes to form a square lattice, and we consider a σ parameter that displaces the coordinates of the nodes randomly. We analyze network effects on the majority-vote opinion dynamics with social temperature q that drives dissensus. Using Monte Carlo simulations, we obtain magnetization, susceptibility, and Binder cumulant for different values of σ displacement. Our results show that the system undergoes a second-order phase transition that depends on lattice disorder and social temperature.
Presented By
Luiz F. A. de Oliveira (Universidade de Pernambuco)
Authors
Luiz F. A. de Oliveira (Universidade de Pernambuco)
Giuliano G Porciúncula (Universidade de Pernambuco)