Update rules and interevent time distributions: Slow ordering vs. no ordering in the Voter Model

Details Update rules and interevent time distributions: Slow ordering vs. no ordering in the Voter Model Update rules and interevent time distributions: Slow ordering vs. no ordering in the Voter Model

2011-02-15

arxiv.org/abs/1102.3118v1

Phys. Rev. E 84, 015103(R) (2011)

Physics

Physics and Society

5pages, 4 figures

Scientific paper

10.1103/PhysRevE.84.015103

We introduce a general methodology of update rules accounting for arbitrary interevent time distributions in simulations of interacting agents. In particular we consider update rules that depend on the state of the agent, so that the update becomes part of the dynamical model. As an illustration we consider the voter model in fully-connected, random and scale free networks with an update probability inversely proportional to the persistence, that is, the time since the last event. We find that in the thermodynamic limit, at variance with standard updates, the system orders slowly. The approach to the absorbing state is characterized by a power law decay of the density of interfaces, observing that the mean time to reach the absorbing state might be not well defined.

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