Abstract
The stochastic processes recently introduced by Grassberger and Cardy are shown to belong to the same universality class as dynamic percolation. To first order in ε=6−d, whered is the spatial dimensionality, known critical exponents of random percolation are rederived and the new dynamic exponent z=2−1/6ε+0(ε2) is calculated by use of the field-theoretic renormalization group method. The relation of the statistics of big clusters (animals) to the Yang-Lee edge singularity in random fields is presented.
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Janssen, H.K. Renormalized field theory of dynamical percolation. Z. Physik B - Condensed Matter 58, 311–317 (1985). https://doi.org/10.1007/BF01303673
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DOI: https://doi.org/10.1007/BF01303673