Linearly Coupled Directed Percolation in the Strong Coupling Regime
Abstract
We consider directed percolation processes for particle types A and B coupled unidirectionally by a transmutation reaction A -> B. It is shown that the strong coupling regime of this recently introduced problem defines a universality class with upper critical dimension d=6. Exact expressions are derived for the scaling dimensions in the inactive phase above d=4. Below d=4 the interactions of the normal directed percolation also get relevant.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2004
- DOI:
- 10.48550/arXiv.cond-mat/0402316
- arXiv:
- arXiv:cond-mat/0402316
- Bibcode:
- 2004cond.mat..2316D
- Keywords:
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- Soft Condensed Matter
- E-Print:
- 6 pages, 1 figure