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Shared information in stationary states at criticality

Alcaraz, Francisco Castilho; Rittenberg, Vladimir Universidade De São Paulo

Journal of Statistical Mechanics-theory and Experiment

IOP PUBLISHING LTD 2010

Acesso online

  • Título:
    Shared information in stationary states at criticality
  • Autor: Alcaraz, Francisco Castilho; Rittenberg, Vladimir
  • Universidade De São Paulo
  • Assuntos: Stochastic Particle Dynamics (Theory); Entanglement In Extended Quantum Systems (Theory); Stationary States; Mechanics; Physics; Mathematical
  • É parte de: Journal of Statistical Mechanics-theory and Experiment
  • Descrição: 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.
    FAPESP
    CNPq
  • DOI: 10.1088/1742-5468/2010/03/P03024
  • Títulos relacionados: Journal of Statistical Mechanics-theory and Experiment
  • Editor: IOP PUBLISHING LTD
  • Data de publicação: 2010
  • Idioma: Inglês

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