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Local interaction scale controls the existence of a non-trivial optimal critical mass in opinion spreading
Umeå University, Faculty of Science and Technology, Department of Physics. (IceLab)
Umeå University, Faculty of Science and Technology, Department of Physics. (IceLab)ORCID iD: 0000-0003-2156-1096
2010 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 82, no 2, 022102- p.Article in journal (Refereed) Published
Abstract [en]

We study a model of opinion formation where the collective decision of a group is said to happen if the fraction of agents having the most common opinion exceeds a threshold value, a critical mass. We find that there exists a unique nontrivial critical mass giving the most efficient convergence to consensus. In addition, we observe that for small critical masses, the characteristic time scale for the relaxation to consensus splits into two. The shorter time scale corresponds to a direct relaxation and the longer one can be explained by the existence of intermediate metastable states similar to those found in [P. Chen and S. Redner, Phys. Rev. E 71, 036101 (2005)]. This longer time scale is dependent on the precise condition for consensus—with a modification of the condition it can go away.

Place, publisher, year, edition, pages
2010. Vol. 82, no 2, 022102- p.
Identifiers
URN: urn:nbn:se:umu:diva-35592DOI: 10.1103/PhysRevE.82.022102ISI: 000280826800007OAI: oai:DiVA.org:umu-35592DiVA: diva2:345376
Available from: 2010-08-25 Created: 2010-08-25 Last updated: 2017-12-12Bibliographically approved

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Wu, Zhi-XiHolme, Petter

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Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

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