Two-species-Coagulation Approach to Consensus by Group Level Interactions.

Escudero, Carlos and Macia Lang, Fabricio and L. Velázquez, Juan J. (2010). Two-species-Coagulation Approach to Consensus by Group Level Interactions.. "Physical Review E", v. 82 (n. 1); pp.. ISSN 1539-3755. https://doi.org/10.1103/PhysRevE.82.016113.

Description

Title: Two-species-Coagulation Approach to Consensus by Group Level Interactions.
Author/s:
  • Escudero, Carlos
  • Macia Lang, Fabricio
  • L. Velázquez, Juan J.
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: January 2010
ISSN: 1539-3755
Volume: 82
Subjects:
Faculty: E.T.S.I. Navales (UPM)
Department: Enseñanzas Básicas de la Ingeniería Naval [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We explore the self-organization dynamics of a set of entities by considering the interactions that affect the different subgroups conforming the whole. To this end, we employ the widespread example of coagulation kinetics, and characterize which interaction types lead to consensus formation and which do not, as well as the corresponding different macroscopic patterns. The crucial technical point is extending the usual one species coagulation dynamics to the two species one. This is achieved by means of introducing explicitly solvable kernels which have a clear physical meaning. The corresponding solutions are calculated in the long time limit, in which consensus may or may not be reached. The lack of consensus is characterized by means of scaling limits of the solutions. The possible applications of our results to some topics in which consensus reaching is fundamental, such as collective animal motion and opinion spreading dynamics, are also outlined

More information

Item ID: 6843
DC Identifier: http://oa.upm.es/6843/
OAI Identifier: oai:oa.upm.es:6843
DOI: 10.1103/PhysRevE.82.016113
Official URL: http://link.aps.org/doi/10.1103/PhysRevE.82.016113
Deposited by: Memoria Investigacion
Deposited on: 06 May 2011 08:09
Last Modified: 20 Apr 2016 15:59
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