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    Spontaneous Symmetry Breaking in Directed Percolation with Many Colors: Differentiation of Species in the Gribov Process

    H. K. Janssen

    • Institut für Theoretische Physik III, Heinrich-Heine-Universität, 40225 Düsseldorf, Germany

    Phys. Rev. Lett. 78, 2890 – Published 14 April, 1997

    DOI: https://doi.org/10.1103/PhysRevLett.78.2890

    Abstract

    A general field theoretic model of directed percolation with many colors that is equivalent to a population model (Gribov process) with many species near their extinction thresholds is presented. It is shown that the multicritical behavior is always described by the well-known exponents of Reggeon field theory. In addition, this universal model shows an instability that leads in general to a total asymmetry between each pair of species of a cooperative society.

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