Title: Special attention network
Authors: Indekeu, Joseph # ×
Issue Date: 2004
Series Title: Physica. A: Statistical and theoretical physics vol:333 pages:461-464
Conference: date:Katholieke Univ Leuven, Lab Vaste Stoffys & Magnetisme, B-3001 Louvain, Belgium
Abstract: In this Note a social network model for opinion formation is proposed in which a person connected to q partners pays an attention 1/q to each partner. The mutual attention between two connected persons i and j is taken equal to the geometric mean 1/rootq(i)q(j). Opinion is represented as usual by an Ising spin s=+/-1 and mutual attention is given through a two-spin coupling J(ij)=JQ/rootq(i)q(j), Q being the average connectivity in the network. Connectivity diminishes attention and only persons with low connectivity can pay special attention to each other leading to a durable common (or opposing) opinion. The model is solved in "mean-field" approximation and a critical "temperature" T-c proportional to JQ is found, which is independent of the number of persons N, for large N. (C) 2003 Elsevier B.V. All rights reserved.
ISSN: 0378-4371
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Solid State Physics and Magnetism Section
× corresponding author
# (joint) last author

Files in This Item:

There are no files associated with this item.

Request a copy


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science