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Ordering dynamics of the multi-state voter model

Author
Starnini, M.; Baronchelli, A.; Pastor-Satorras, R.
Type of activity
Journal article
Journal
Journal of statistical mechanics: Theory and experiment
Date of publication
2012-10-30
Volume
2012
Number
10
First page
1
Last page
13
DOI
https://doi.org/10.1088/1742-5468/2012/10/P10027 Open in new window
Repository
http://hdl.handle.net/2117/125734 Open in new window
URL
http://iopscience.iop.org/1742-5468/2012/10/P10027 Open in new window
Abstract
The voter model is a paradigm of ordering dynamics. At each time step, a random node is selected and copies the state of one of its neighbors. Traditionally, this state has been considered as a binary variable. Here, we address the case in which the number of states is a parameter that can assume any value, from 2 to 8, in the thermodynamic limit. We derive mean-field analytical expressions for the exit probability, the consensus time, and the number of different states as a function of time for...
Citation
Starnini, M., Baronchelli, A., Pastor-Satorras, R. Ordering dynamics of the multi-state voter model. "Journal of statistical mechanics: Theory and experiment", 30 Octubre 2012, vol. 2012, núm. 10, p. 1-13.
Keywords
interacting agent models, network dynamics, stochastic particle dynamics (theory), stochastic processes
Group of research
SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity

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