title: Behavior of Early Warnings near the Critical Temperature in the Two-Dimensional Ising Model.
abstract: Among the properties that are common to complex systems, the presence of critical thresholds in the dynamics of the system is one of the most important. Recently, there has been interest in the universalities that occur in the behavior of systems near critical points. These universal properties make it possible to estimate how far a system is from a critical threshold. Several early-warning signals have been reported in time series representing systems near catastrophic shifts. The proper understanding of these early-warnings may allow the prediction and perhaps control of these dramatic shifts in a wide variety of systems. In this paper we analyze this universal behavior for a system that is a paradigm of phase transitions, the Ising model. We study the behavior of the early-warning signals and the way the temporal correlations of the system increase when the system is near the critical point.
authors.affiliation: Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, México, D.F., México; Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, México, D.F., México; Laboratorio Nacional de Ciencias de la Complejidad, D.F., México.
authors.forename: Irving O
authors.initials: IO
authors.lastname: Morales
authors.affiliation: Instituto de Biociências, Universidad de São Paulo, SP, Brazil; Laboratorio Nacional de Ciencias de la Complejidad, D.F., México.
authors.forename: Emmanuel
authors.initials: E
authors.lastname: Landa
authors.affiliation: Facultad de Ciencias, Universidad Nacional Autonoma de México, D.F., México; Laboratorio Nacional de Ciencias de la Complejidad, D.F., México.
authors.forename: Carlos Calderon
authors.initials: CC
authors.lastname: Angeles
authors.affiliation: Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, México, D.F., México; Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, México, D.F., México; Laboratorio Nacional de Ciencias de la Complejidad, D.F., México.
authors.forename: Juan C
authors.initials: JC
authors.lastname: Toledo
authors.affiliation: Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, México, D.F., México; Centro de Física Aplicada y Tecnología Avanzada, Universidad Nacional Autónoma de México, Querétaro, México; Laboratorio Nacional de Ciencias de la Complejidad, D.F., México.
authors.forename: Ana Leonor
authors.initials: AL
authors.lastname: Rivera
authors.affiliation: Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, México, D.F., México; Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, México, D.F., México; Laboratorio Nacional de Ciencias de la Complejidad, D.F., México.
authors.forename: Joel Mendoza
authors.initials: JM
authors.lastname: Temis
authors.affiliation: Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, México, D.F., México; Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, México, D.F., México; Laboratorio Nacional de Ciencias de la Complejidad, D.F., México.
authors.forename: Alejandro
authors.initials: A
authors.lastname: Frank
mesh_terms: D002627:Chemistry, Physical; D003198:Computer Simulation; D060328:Magnetic Phenomena; D008956:Models, Chemical; D009010:Monte Carlo Method; D044367:Phase Transition; D013269:Stochastic Processes; D013696:Temperature; D013995:Time