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HIERARCHICAL TRAPPING ON A ONE-DIMENSIONAL LATTICE

    The effect of the nonconservation of the total probability in the presence of a hierarchy of transition rates is studied by renormalization group techniques and confirmed by numerical simulations on a one-dimensional lattice. The model can be considered as the static (or ideal chain) counterpart of the Hubermann-Kerszberg model. It is found that critical exponents are always nonuniversal in the presence of a hierarchy and jump discontinuously to universal values in the limit of no hierarchy. Qualitative agreement with recent simulations is found.

    PACS: 05.40.+j, 36.20.Ey, 64.60.Ak
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