Diffusion with stochastic resetting
- Date
- Oct 8, 2015
- Time
- 11:00 AM - 12:00 PM
- Speaker
- Satya Majumdar
- Language
- en
- Main Topic
- Physik
- Other Topics
- Physik
- Host
- Advanced Study Group Klages
- Description
- We study a simple model of search where the searcher undergoes normal diffusion, but once in a while resets to its initial starting point stochastically with rate $r$. The effect of a finite resetting rate r turns out to be rather drastic. First, the position of the walker approaches a nonequilibrium stationary state at long times. The approach to the stationary state is accompanied by an interesting `dynamical' phase transition. For searching an immobile target, resetting leads to finite mean search time which, as a function of r, has a minimum at an optimal resetting rate $r^*$. This makes the search process efficient. We then consider various generalizations of this simple resetting model: to Levy flights, to multiple walkers and also to spatially extended system such as fluctuating interfaces.
Last modified: Oct 5, 2015, 9:51:52 AM
Location
Max-Planck-Institut für Physik komplexer Systeme (Seminarroom 4)Nöthnitzer Straße3801187Dresden
- Phone
- + 49 (0)351 871 0
- MPI-PKS
- Homepage
- http://www.mpipks-dresden.mpg.de
Organizer
Max-Planck-Institut für Physik komplexer SystemeNöthnitzer Straße3801187Dresden
- Phone
- + 49 (0)351 871 0
- MPI-PKS
- Homepage
- http://www.mpipks-dresden.mpg.de
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