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 |
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Jazyk: | angličtina |
Rok vydání: | 2015 |
Předmět: |
Phase transition
Computer science Monte Carlo method Complex system FOS: Physical sciences lcsh:Medicine Phase Transition Time Critical point (thermodynamics) Computer Simulation Statistical physics lcsh:Science Condensed Matter - Statistical Mechanics Stochastic Processes Multidisciplinary Statistical Mechanics (cond-mat.stat-mech) Stochastic process Chemistry Physical Magnetic Phenomena Autocorrelation lcsh:R Temperature Probability and statistics Models Chemical Physics - Data Analysis Statistics and Probability Probability distribution Ising model lcsh:Q Monte Carlo Method Data Analysis Statistics and Probability (physics.data-an) Research Article |
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 |
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