Does a single zealot affect an infinite group of voters?

A method for studying the exact properties of a class of inhomogeneous stochastic many-body systems is developed and presented in the framework of a voter model perturbed by the presence of a "zealot," an individual allowed to favor an "opinion." We compute exactly the magnetization of this model and find that in one (1D) and two dimensions (2D) it evolves, algebraically (~t<sup>-1/2</sup>) in 1D and much slower (~1/lnt) in 2D, towards the unanimity state chosen by the zealot. In higher dimensions the stationary magnetization is no longer uniform: the zealot cannot influence all the individuals. The implications to other physical problems are also pointed out


Published in:
Physical Review Letters, 91, 2, 028701
Year:
2003
Publisher:
APS
Keywords:
Note:
Copyright 2003, IEE
7697548
0031-9007
zealot
voters
inhomogeneous stochastic many-body systems
magnetization
unanimity state
Other identifiers:
Laboratories:




 Record created 2007-04-03, last modified 2018-01-27


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