Behavior of early warnings near the critical temperature in the two-dimensional Ising model

Autor: Carlos Calderon Angeles, E Landa, Ana Leonor Rivera, Alejandro Frank, Irving O. Morales, Joel Mendoza Temis, Juan C. Toledo
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: PLoS ONE
PLoS ONE, Vol 10, Iss 6, p e0130751 (2015)
Popis: 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.
20 pages, 8 figures, Submitted to PLOS ONE on Oct. 20th 2014. PONE-D-14-47184
Databáze: OpenAIRE