Regensburg 2019 – scientific programme
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BP: Fachverband Biologische Physik
BP 12: Poster II
BP 12.33: Poster
Tuesday, April 2, 2019, 14:00–16:00, Poster B2
Range Expansions in a Stochastic Metapopulation Model — •David Muramatsu1, Erwin Frey1, and Marianne Bauer2 — 1Ludwig-Maximilians-Universitaet Muenchen, Germany — 2Princeton University, USA
In range expansions, the colonization of a territory by an invading species, the front between invaded and new territory roughens due to stochastic fluctuations. To investigate the growth laws describing the front width of a given system, large sized systems have to be considered, since finite size effects may otherwise obscure the dynamics that govern the interface. Naive implementations of exact simulation algorithms like the Gillespie algorithm scale unfavorably in the system size such that the simulation of ensembles of large systems with complex interactions quickly becomes unfeasible. We address this problem by implementing a parallelized version of the Gillespie algorithm, which scales linearly in the system size, suited for lattice based systems that display local fast dynamics while having a low rate of particle exchange between lattice sites. We employ this algorithm to determine the growth law governing the front width of a system which has been inaccessible to previously used simulation methods.