arXiv:cond-mat/9402018v1 4 Feb 1994 FINITE-SIZE SCALING STUDIES OF REACTION-DIFFUSION SYSTEMS Part II: Open Boundary Conditions Haye Hinrichsen † , Klaus Krebs ‡ , Markus Pfannm¨ uller ‡ and Birgit Wehefritz ‡ † Freie Universit¨ at Berlin, Fachbereich Physik Arnimallee 14, D-14195 Berlin, Germany ‡ Universit¨ at Bonn, Physikalisches Institut Nußallee 12, D-53115 Bonn, Germany Abstract We consider the coagulation-decoagulation model on an one-dimensional lattice of length L with open boundary conditions. Based on the empty interval approach the time evolution is described by a system of L(L+1) 2 differential equations which is solved analytically. An exact expression for the concentration is derived and its finite-size scaling behaviour is investigated. The scaling function is found to be independent of initial conditions. The scaling function and the correction function for open boundary conditions are different from those for periodic boundary conditions. Key words: Reaction-diffusion systems, finite-size scaling, non-equilibrium statistical mechanics, coagulation model PACS numbers: 05.40.+j, 05.70.Ln, 82.20.Mj BONN HE-94-01 cond-mat/9402018 Bonn University January 1994 ISSN-0172-8733