Artículos de revistas
Shared information in stationary states at criticality
Fecha
2010Registro en:
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010
1742-5468
10.1088/1742-5468/2010/03/P03024
Autor
ALCARAZ, Francisco Castilho
RITTENBERG, Vladimir
Institución
Resumen
We consider bipartitions of one-dimensional extended systems whose probability distribution functions describe stationary states of stochastic models. We define estimators of the information shared between the two subsystems. If the correlation length is finite, the estimators stay finite for large system sizes. If the correlation length diverges, so do the estimators. The definition of the estimators is inspired by information theory. We look at several models and compare the behaviors of the estimators in the finite-size scaling limit. Analytical and numerical methods as well as Monte Carlo simulations are used. We show how the finite-size scaling functions change for various phase transitions, including the case where one has conformal invariance.