Competition in the presence of aging: dominance, coexistence, and alternation between states

Toni Pérez, Konstantin Klemm, Victor M. Eguı́luz

2016

Full text Open access: Gold Metadata (CSL-JSON)
DOI 10.1038/srep21128
Data confidence 70 medium
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Abstract

We study the stochastic dynamics of coupled states with transition probabilities depending on local persistence, this is, the time since a state has changed. When the system has a preference to adopt older states the system orders quickly due to the dominance of old states. When preference for new states prevails, the system can show coexistence of states or synchronized collective behavior resulting in long ordering times. In this case, the magnetization of the system oscillates around zero. Finally we discuss a potential application in social systems.