title: Competition in the presence of aging: dominance, coexistence, and alternation between states.
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.
authors.affiliation: Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC), Palma de Mallorca, E-07122, Spain.
authors.forename: Toni
authors.initials: T
authors.lastname: Pérez
authors.affiliation: Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC), Palma de Mallorca, E-07122, Spain.|School of Science and Technology, Nazarbayev University, Astana, 010000, Kazakhstan.|Bioinformatics, Institute of Computer Science, University Leipzig, Leipzig, 04107, Germany.|Bioinformatics and Computational Biology, University of Vienna, Vienna, 1090, Austria.|Theoretical Chemistry, University of Vienna, Vienna, 1090, Austria.
authors.forename: Konstantin
authors.initials: K
authors.lastname: Klemm
authors.affiliation: Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC), Palma de Mallorca, E-07122, Spain.
authors.forename: Víctor M
authors.initials: VM
authors.lastname: Eguíluz
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical