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A model for anomalous directed percolation

  • H. Hinrichsen
  • M. Howard

Abstract:

We introduce a model for the spreading of epidemics by long-range infections and investigate the critical behaviour at the spreading transition. The model generalizes directed bond percolation and is characterized by a probability distribution for long-range infections which decays in d spatial dimensions as \(\). Extensive numerical simulations are performed in order to determine the density exponent \(\)and the correlation length exponents \(\) and \(\)for various values of \(\). We observe that these exponents vary continuously with \(\), in agreement with recent field-theoretic predictions. We also study a model for pairwise annihilation of particles with algebraically distributed long-range interactions.

PACS. 05.70.Ln Nonequilibrium thermodynamics, irreversible processes - 64.60.Ak Renormalization-group, fractal, and percolation studies of phase transitions - 64.60.Ht Dynamic critical phenomena 

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Copyright information

© EDP Sciences, Springer-Verlag 1999

Authors and Affiliations

  • H. Hinrichsen
    • 1
  • M. Howard
    • 2
  1. 1.Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, GermanyDE
  2. 2.CATS, The Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen Ø, DenmarkDK

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