Statut  Confirmé 
Série  FORUMENS 
Domaines  condmat.statmech 
Date  Mercredi 12 Mai 2021 
Heure  14:30 
Institut  LPENS 
Salle  online 
Nom de l'orateur  Schehr 
Prenom de l'orateur  Gregory 
Addresse email de l'orateur  
Institution de l'orateur  LPTHE 
Titre  Universal firstpassage properties for a ddimensional runandtumble particle 
Résumé  The runandtumble particle, or persistent random walk, is one of the simplest nonMarkovian random walk model, which is currently of much interest, in particular in the context of active matter. In this talk, I will consider an active runandtumble particle (RTP) in d dimensions and present exact results for the probability S(t) that the xcomponent of the position of the RTP does not change sign up to time t. Remarkably, when the tumblings occur at a constant rate, S(t) turns out to be independent of d for any finite time t (and not just for large t), which is a consequence of the celebrated Sparre Andersen theorem for discretetime random walks in one dimension. Moreover, this universal result holds for a much wider class of RTP models in which the speed v of the particle after each tumbling is random, drawn from an arbitrary probability distribution. 
Numéro de preprint arXiv  
Commentaires  Gotomeeting: https://www.gotomeet.me/forumphystat 
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