Dresden 2011 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 16: Statistical Physics II

DY 16.4: Vortrag

Mittwoch, 16. März 2011, 11:15–11:30, HÜL 186

How to describe bursty reaction kinetics? — •Stephan Eule — Max-Planck-Institut fuer Dynamik und Selbstorganisation

We introduce a generalization of the chemical master equation which is capable to describe reaction kinetics with non-Poissonian reaction statistics. Deviations from Poissonian reaction patterns have been observed in various systems ranging from reactions in cells to reactions involving polymers. Another application is the mathematical description of spreading rumors and infections that are usually modeled by simple reaction schemes. The corresponding dynamics is closely related to the interaction patterns of humans which are known to happen in bursts. We provide methods of solving the generalized chemical master equation and present an exact solution for a simple reaction scheme. Furthermore we show how the generalized chemical master equation can be extended to include reactions following Poissonian statistics and apply it to a reaction where the production of a reactant happens in sudden bursts while the degradation is normal.