Abstract
We consider a modification of the contact process incorporating higher-order reaction terms. The original contact process exhibits a non-equilibrium phase transition belonging to the universality class of directed percolation. The incorporated higher-order reaction terms lead to a non-trivial phase diagram. In particular, a line of continuous phase transitions is separated by a tricritical point from a line of discontinuous phase transitions. The corresponding tricritical scaling behavior is analyzed in detail, i.e., we determine the critical exponents, various universal scaling functions as well as universal amplitude combinations.
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PACS numbers: 05.70.Ln, 05.50.+q, 05.65.+b
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Lübeck, S. Tricritical Directed Percolation. J Stat Phys 123, 193–221 (2006). https://doi.org/10.1007/s10955-005-9000-z
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DOI: https://doi.org/10.1007/s10955-005-9000-z