%0 Book Section %1 statphys23_0156 %A Pleimling, M. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K equations functions growth langevin nonequilibrium processes space-time statphys23 stochastic topic-4 %T Symmetry based determination of space-time functions in nonequilibrium growth processes %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=156 %X We study the space-time correlation and response functions in nonequilibrium growth processes described by linear stochastic Langevin equations. Exploiting exclusively the existence of space and time dependent symmetries of the noiseless part of these equations, we derive expressions for the universal scaling functions of two-time quantities which are found to agree with the exact expressions obtained from the stochastic equations of motion. The usefulness of the space-time functions is illustrated through the investigation of two atomistic growth models, the Family model and the restricted Family model, which are shown to belong to a unique universality class in 1+1 and in 2+1 space dimensions. This corrects earlier studies which claimed that in 2+1 dimensions the two models belong to different universality classes.\\ A. Roethlein, F. Baumann, and M. Pleimling, Phys. Rev. E 74, 061604 (2006)

@incollection{statphys23_0156, abstract = {We study the space-time correlation and response functions in nonequilibrium growth processes described by linear stochastic Langevin equations. Exploiting exclusively the existence of space and time dependent symmetries of the noiseless part of these equations, we derive expressions for the universal scaling functions of two-time quantities which are found to agree with the exact expressions obtained from the stochastic equations of motion. The usefulness of the space-time functions is illustrated through the investigation of two atomistic growth models, the Family model and the restricted Family model, which are shown to belong to a unique universality class in 1+1 and in 2+1 space dimensions. This corrects earlier studies which claimed that in 2+1 dimensions the two models belong to different universality classes.\\ A. Roethlein, F. Baumann, and M. Pleimling, Phys. Rev. E {\bf 74}, 061604 (2006)}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Pleimling, M.}, biburl = {https://www.bibsonomy.org/bibtex/22c2ce1a0aea8e313891cb0e8e09679fa/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {244bbe4143fa18edd8d28b79a7c50702}, intrahash = {2c2ce1a0aea8e313891cb0e8e09679fa}, keywords = {equations functions growth langevin nonequilibrium processes space-time statphys23 stochastic topic-4}, month = {9-13 July}, timestamp = {2007-06-20T10:16:13.000+0200}, title = {Symmetry based determination of space-time functions in nonequilibrium growth processes}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=156}, year = 2007 }