Tricritical directed percolation

Details Tricritical directed percolation Tricritical directed percolation

2006-08-15

arxiv.org/abs/cond-mat/0608339v1

Journal of Statistical Physics 123, 193 (2006)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1007/s10955-005-9000-z

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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