Applications of the Harris-FKG Inequality to Upper Bounds for Order Parameters in the Contact Processes

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  • Konno Norio
    Department of General Education, Muroran Institute of Technology
  • Katori Makoto
    Department of Physics, Faculty of Science, University of Tokyo

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  • Applications of the Harris FKG Inequali

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Abstract

Upper bounds for order parameters are studied for the d-dimensional contact processes by using the Harris-FKG inequality. Particularly, in the one-dimensional system, it is proved that our improved upper bound ρ1,λ(4) is less than Griffeath’s bound for λ≥λc(1).

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