Investigating critical systems via the distribution of correlation lengths
Lorenzo Palmieri, Henrik Jeldtoft Jensen
Abstract
The authors propose a novel approach to study the critical behavior of equilibrium and non-equilibrium systems. They analyze the distribution of correlation lengths numerically, finding that it is universal in the critical regime. This result allows for introducing new critical exponents and opens a new path to the analysis of real systems to elucidate whether they are in their critical state.
Topics & Concepts
Ising modelStatistical physicsCriticalityScalingPhase transitionCritical phenomenaSelf-organized criticalityCritical systemCorrelationDistribution (mathematics)Cluster (spacecraft)Computer scienceMathematicsPhysicsStatisticsThermodynamicsMathematical analysisGeometryNuclear physicsProgramming languageTheoretical and Computational PhysicsComplex Systems and Time Series AnalysisComplex Network Analysis Techniques