Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series IPHT-STA
Subjects cond-mat
Date Monday 18 November 2019
Time 14:00
Institute IPHT
Seminar Room Salle Claude Itzykson, Bât. 774
Speaker's Last Name Robert Jack
Speaker's First Name
Speaker's Email Address
Speaker's Institution University of Cambridge
Title Large deviations and optimal control in growing systems, and other simple models
Abstract We consider dynamical fluctuations in a simple model where clusters of particles grow with time [1]. There are two types of particle (for example, red and blue) and the typical long-time behaviour may be either mixed or de-mixed. We analyse rare events where the cluster composition at long times differs from its typical value [2]. The mechanisms for these events are unusual -- they are coupled to large fluctuations in the early-time behaviour of the system, which impacts the long-term behaviour because of a long-range memory effect. We explain how these can be described by combining large deviation theory with ideas of stochastic optimal control. We discuss connections to simple models of diffusion with memory. \\ \\ {[1]} K Klymko, JP Garrahan, and S Whitelam, Phys Rev E 96, 042126 (2017) \\ {[2]} RL Jack, Phys Rev E 100, 012140 (2019)
arXiv Preprint Number

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