publication . Article . Preprint . 2013

Competing of Sznajd and Voter Dynamics in the Watts–Strogatz Network

Rybak, Marcin; Kulakowski, Krzysztof;
Open Access
  • Published: 14 Jan 2013 Journal: Acta Physica Polonica B, volume 44, page 1,007 (issn: 0587-4254, eissn: 1509-5770, Copyright policy)
  • Publisher: Jagiellonian University
Abstract
We investigate the Watts-Strogatz network with the clustering coefficient C dependent on the rewiring probability. The network is an area of two opposite contact processes, where nodes can be in two states, S or D. One of the processes is governed by the Sznajd dynamics: if there are two connected nodes in D-state, all their neighbors become D with probability p. For the opposite process it is sufficient to have only one neighbor in state S; this transition occurs with probability 1. The concentration of S-nodes changes abruptly at given value of the probability p. The result is that for small p, in clusterized networks the activation of S nodes prevails. This r...
Subjects
free text keywords: General Physics and Astronomy, Physics, Statistical physics, Clustering coefficient, Quantum electrodynamics, Bethe lattice, Physics - Physics and Society, Computer Science - Social and Information Networks, Physics - Computational Physics

[1] J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models, Cambridge UP, Cambridge 2002.

[2] T. M. Liggett, Interacting Particle Systems, Springer-Verlag, New York 1985.

[3] K. Sznajd-Weron and J. Sznajd, Opinion evolution in closed community, Int. J. Modern Phys. C 11, 1157 (2000). [OpenAIRE]

[7] G. J. Baxter, S. N. Dorogovtsev, A. V. Goltsev and J. F. F. Mendes, Bootstrap percolation on complex networks, Phys. Rev. E 82, 011103 (2010). [OpenAIRE]

[8] P. Holme and B. J. Kim, Growing scale-free networks with tunable clustering, Phys. Rev. E 65, 026107 (2002).

[9] A. Man´ka, K. Malarz and K. Kulakowski, Clusterization, frustration and collectivity in random networks, Int. J. Modern Phys. C 18, 1772 (2007). [OpenAIRE]

[10] M. Granovetter, Threshold model of collective behavior, Amer. J. of Sociology 83, 1420 (1978). [OpenAIRE]

[11] G. Marwell and P. Oliver, The Critical Mass in Collective Action, Cambridge UP, Cambridge 1993.

Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue
publication . Article . Preprint . 2013

Competing of Sznajd and Voter Dynamics in the Watts–Strogatz Network

Rybak, Marcin; Kulakowski, Krzysztof;