Multicritical behavior in coupled directed percolation processes

Details Multicritical behavior in coupled directed percolation processes Multicritical behavior in coupled directed percolation processes

1997-09-04

arxiv.org/abs/cond-mat/9709057v2

Phys. Rev. Lett. 80 (1998) 2165

Physics

Condensed Matter

Statistical Mechanics

5 pages, RevTex, no figures; final version, to appear in Phys. Rev. Lett. (1998)

Scientific paper

10.1103/PhysRevLett.80.2165

We study a hierarchy of directed percolation (DP) processes for particle species A, B, ..., unidirectionally coupled via the reactions A -> B, ... When the DP critical points at all levels coincide, multicritical behavior emerges, with density exponents \beta^{(k)} which are markedly reduced at each hierarchy level k >= 2. We compute the fluctuation corrections to \beta^{(2)} to O(\epsilon = 4-d) using field-theoretic renormalization group techniques. Monte Carlo simulations are employed to determine the new exponents in dimensions d <= 3.

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