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A model for anomalous directed percolation |
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| Authors: | H Hinrichsen M Howard |
| Institution: | Max-Planck-Institut für Physik komplexer Systeme, N?thnitzer Stra?e 38, 01187 Dresden, Germany, DE CATS, The Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen ?, Denmark, DK |
| 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. Received: 4 September 1998 / Accepted: 22 September 1998 |
| Keywords: | 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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