Competition in the presence of aging: order, disorder, and synchronized collective behavior

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 population has a preference to adopt older states the system orders quickly due to the dominance of the old state. 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 $m(t)$ of the system oscillates around $m(t)=0$. Implications for social systems are discussed.

5 pages, 5 figures, letter

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• Aging-induced continuous phase transition
• Herding and idiosyncratic choices: Nonlinearity and aging-induced transitions in the noisy voter model
• Aging effects in Schelling Segregation model
• Aging in binary-state models: The Threshold model for Complex Contagion
• Non-Markovian Majority-Vote model
• Analytical and numerical treatment of continuous ageing in the voter model
• Reduction from non-Markovian to Markovian dynamics: The case of aging in the noisy-voter model
• Fitness voter model: damped oscillations and anomalous consensus
• Aging in some opinion formation models: a comparative study
• Spontaneous Opinion Swings in the Voter Model with Latency
• Noisy kinetic-exchange opinion model with aging