Tricritical directed percolation in 2+1 dimensions Export

@article{citeulike:461309, abstract = {We present detailed simulations of a generalization of the Domany-Kinzel model to 2+1 dimensions. It has two control parameters, p and q, which describe the probabilities Pk of a site to be wetted, if exactly k of its 'upstream' neighbours are already wetted. If Pk depends only weakly on k, the active/adsorbed phase transition is in the directed percolation (DP) universality class. If, however, Pk increases quickly with k so that the formation of inactive holes surrounded by active sites is suppressed, the transition 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 in the contact process studied recently by Lubeck. Critical exponents for it have been calculated previously by means of the field-theoretic epsilon-expansion ([?] = 3 [?] d, with d = 2 in the present case). Rather poor agreement is found with both.}, author = {Grassberger, Peter}, citeulike-article-id = {461309}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/1742-5468/2006/01/P01004}, doi = {10.1088/1742-5468/2006/01/P01004}, issn = {1742-5468}, journal = {Journal of Statistical Mechanics: Theory and Experiment}, keywords = {percolation, phase\_transition, statistical\_physics}, month = {January}, number = {01}, pages = {P01004}, posted-at = {2009-10-18 23:18:50}, priority = {2}, publisher = {Institute of Physics Publishing}, title = {Tricritical directed percolation in 2+1 dimensions}, url = {http://dx.doi.org/10.1088/1742-5468/2006/01/P01004}, volume = {2006}, year = {2006} }

TY - JOUR ID - citeulike:461309 L3 - citeulike-article-id:461309 N2 - We present detailed simulations of a generalization of the Domany-Kinzel model to 2+1 dimensions. It has two control parameters, p and q, which describe the probabilities Pk of a site to be wetted, if exactly k of its 'upstream' neighbours are already wetted. If Pk depends only weakly on k, the active/adsorbed phase transition is in the directed percolation (DP) universality class. If, however, Pk increases quickly with k so that the formation of inactive holes surrounded by active sites is suppressed, the transition 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 in the contact process studied recently by Lubeck. Critical exponents for it have been calculated previously by means of the field-theoretic epsilon-expansion ([?] = 3 [?] d, with d = 2 in the present case). Rather poor agreement is found with both. IS - 01 JF - Journal of Statistical Mechanics: Theory and Experiment SN - 1742-5468 EP - P01004 TI - Tricritical directed percolation in 2+1 dimensions PB - Institute of Physics Publishing VL - 2006 SP - P01004 KW - percolation KW - phase_transition KW - statistical_physics AU - Grassberger, Peter PY - 2006/01// UR - http://dx.doi.org/10.1088/1742-5468/2006/01/P01004 ER -