Abstract
We present detailed simulations of a generalization of the Domany–Kinzel model to2+1 dimensions. It has twocontrol parameters, p and q, which describe theprobabilities Pk of a siteto be wetted, if exactly k of its ‘upstream’ neighbours are already wetted. IfPk depends onlyweakly on k, the active/adsorbed phase transition is in the directed percolation (DP) universality class. If, however,Pk increasesquickly with k so that the formation of inactive holes surrounded by active sites is suppressed, thetransition is first order. These two transition lines meet at a tricritical point.This point should be in the same universality class as a tricritical transition inthe contact process studied recently by Lübeck. Critical exponents for it havebeen calculated previously by means of the field-theoretic epsilon-expansion(ϵ = 3 − d,with d = 2 in the present case). Rather poor agreement is found with both.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Journal of Statistical Mechanics: Theory and Experiment
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.