%0 Journal Article %1 Lubeck2006Tricritical %A Lübeck, S. %D 2006 %I Springer Netherlands %J Journal of Statistical Physics %K percolation tricritical-points %N 1 %P 193--221 %R 10.1007/s10955-005-9000-z %T Tricritical Directed Percolation %U http://dx.doi.org/10.1007/s10955-005-9000-z %V 123 %X 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.

@article{Lubeck2006Tricritical, 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.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {L\"{u}beck, S.}, biburl = {https://www.bibsonomy.org/bibtex/264dd73921f23db494b72804dc7984a6c/nonancourt}, citeulike-article-id = {611599}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/s10955-005-9000-z}, citeulike-linkout-1 = {http://www.ingentaconnect.com/content/klu/joss/2006/00000123/00000001/00009000}, citeulike-linkout-2 = {http://www.springerlink.com/content/d38671805j146g05}, day = 1, doi = {10.1007/s10955-005-9000-z}, interhash = {5a8f5f8dfb75e5c0e48890d63a6ec529}, intrahash = {64dd73921f23db494b72804dc7984a6c}, issn = {0022-4715}, journal = {Journal of Statistical Physics}, keywords = {percolation tricritical-points}, month = apr, number = 1, pages = {193--221}, posted-at = {2011-03-28 10:18:56}, priority = {2}, publisher = {Springer Netherlands}, timestamp = {2019-08-01T15:37:28.000+0200}, title = {{Tricritical Directed Percolation}}, url = {http://dx.doi.org/10.1007/s10955-005-9000-z}, volume = 123, year = 2006 }