caa a22 4500 445391022 CHVBK 20180317143046.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10955-011-0318-4 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0318-4 Finite Time Corrections in KPZ Growth Models [Elektronische Daten] [Patrik Ferrari, René Frings] We consider some models in the Kardar-Parisi-Zhang universality class, namely the polynuclear growth model and the totally/partially asymmetric simple exclusion process. For these models, in the limit of large time t, universality of fluctuations has been previously obtained. In this paper we consider the convergence to the limiting distributions and determine the (non-universal) first order corrections, which turn out to be a non-random shift of order t −1/3 (of order 1 in microscopic units). Subtracting this deterministic correction, the convergence is then of order t −2/3. We also determine the strength of asymmetry in the exclusion process for which the shift is zero. Finally, we discuss to what extend the discreteness of the model has an effect on the fitting functions. Springer Science+Business Media, LLC, 2011 KPZ class nationallicence Growth models nationallicence Finite size nationallicence Universality nationallicence Ferrari Patrik Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115, Bonn, Germany aut Frings René Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115, Bonn, Germany aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/6(2011-09-01), 1123-1150 0022-4715 144:6<1123 2011 144 10955 https://doi.org/10.1007/s10955-011-0318-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0318-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ferrari Patrik Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115, Bonn, Germany aut NATIONALLICENCE 700 1- Frings René Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115, Bonn, Germany aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/6(2011-09-01), 1123-1150 0022-4715 144:6<1123 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer