Berlin 2012 – wissenschaftliches Programm

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BP: Fachverband Biologische Physik

BP 18: Posters: Statistical Physics in Biological Systems

BP 18.6: Poster

Mittwoch, 28. März 2012, 17:30–19:30, Poster A

Fluctuations in meta-population transport models — •Tobias Galla — Complex Systems and Statistical Physics Group, School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom

We introduce meta-population models of transport processes. Particles move along a chain of cells, each of which can hold a number of particles up to a maximum carrying capacity. Particles can only advance along the chain if the patch ahead is not fully occupied. Viewing each patch as a separate population of particles this effectively generates a `population of interacting populations', hence the term meta-population. Based on a master equation approach and a subsequent system-size expansion we compute the spectral properties of fluctuations in such models about their naive deterministic limit. This naive limit corresponds to models with an infinite patch size. The other extreme, a carrying capacity of one, on the other hand reproduces commonly used single-occupancy models. Our approach allows one to interpolate between the two limits. Specific applications we will discuss include asymmetric exclusion processes with single or multiple types of particles, frequently used as stylized models of biological transport.