Service de Physique de l'Etat Condensé

First-passage statistics of Markovian and non Markovian random walks
Raphael VOITURIEZ
Laboratoire de Physique Théorique de la Matière Condensée, Université Pierre et Marie Curie, Paris
Mercredi 14/11/2018, 11h00-12h00
SPEC Salle Itzykson, Bât.774, Orme des Merisiers

The first-passage time is a key quantity for evaluating the kinetics of various processes, and in particular chemical reactions involving "small" numbers of particles. A striking example is given by gene transcription, where specific proteins search for target sequences on DNA.
I will present asymptotic results which enable the determination of first-passage time statistics to a target site for a wide range of random processes in confined domains. I will show how these results can be extended to non Markovian processes, including ageing processes, which are often needed to model transport in complex environments.

Un café sera servi à 11H dans le hall

 

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