Arnold Sommerfeld Center for Theoretical Physics (ASC) and Center for NanoScience (CeNS) Department of Physics Ludwig-Maximilians-Universität München Theresienstrasse 37, D-80333 München, Germany
(a) Density profiles on the active part of the lattice with and for various diffusion strengths . Data were acquired using our revised updating algorithm (thick lines) and a Gillespie algorithm (thin lines), of which we ran 100 simulations, each recording 100 independent configurations of the particle density on the lattice. To assure independence of consecutive configurations, we chose a sampling time and equilibrated the system for a time . (b) Number of updates as a function of system size in the Gillespie algorithm. After an equilibration of the system ( and ) for a time , the number of updates performed in the Gillespie algorithm were counted over a time interval , and from that the average number of updates in the sampling time were determined. This shows that in an update algorithm the number of updates has to grow like for the observation time to be larger than the correlation time.Reuse & Permissions