par Robert Patterson (WIAS, Berlin)

Europe/Paris
435 (UMPA, ENS de Lyon)

435

UMPA, ENS de Lyon

Description
Mean field particle systems are a common model for chemical reactions in well mixed containers. Molecules (and ions, . . . ) are modelled as particles and jumps model reactions in which atoms are reorganised into new molecules. The model is then a family of Markov processes indexed by V > 0, which may heuristically be understood as size of the well mixed container. One studies the empirical measure of the particle system, which should be identified with the concentration vector. In the work reported here we study reaction fluxes and not just concentrations under assumptions which include classical mass action chemical kinetics. The reaction fluxes are the (rescaled) reaction counts and so the initial condition and the fluxes imply the state of the particle system, but they contain more information since multiple sequences of reactions may produce the same change in concentrations.