Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-LPTMC
Subjects cond-mat.mes-hall
Date Thursday 19 December 2019
Time 15:00
Institute LPTMC
Seminar Room Jussieu tower 13-12 5th floor room 5-23
Speaker's Last Name Levernier
Speaker's First Name Nicolas
Speaker's Email Address nicolas [dot] levernier [at] gmail [dot] com
Speaker's Institution IUSTI Marseille
Title First-passage time of non-markovian random walks
Abstract In this talk, I will recall some results I got during my PhD and show new results obtained since then. In a second part, I will present part of the results I got during my postdoc in Geneva. The question of first-passage time, typically the time needed for two particles to encounter, is of importance to quantify the rate of reaction of any diffusion-limited process. If the problem is essentially solved for markovian (that is memoryless) random walks such as brownian motion, only sparse results do exist for non-markovian random walks. I will present a formalism we have developed to quantify the mean first passage time to a target for a confined non-markovian random walker, whose position statistics is gaussian and with stationary increments. Then, I will present some features of confined ageing processes (that is : if the stationary increments hypotheses is relaxed), and decipher the links with the associated unconfined processes. In particular, the importance of the so-called persistance exponent will be emphasised. I will finally show how our gaussian formalism can be extended to ageing unconfined processes in order to get the value of the persistance exponent. In a second part, I will present a physical description of the actin cytoskeleton, which is a layer of fibers in interaction with molecular motors. This layer is polymerizing along the plasma membrane. Usual model typically see it as a thin layer, that is neglecting the dynamics in the direction orthogonal to the membrane. I will show that a more precise description that account for this direction leads to a new instability mechanism that cannot be observed within the thin-layer approach. Finally, I will briefly mention experimental works in agreement with this predicted instability.
arXiv Preprint Number

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