14 июля 2009 г., 16:00, к. 307.
Докладчик: V. Sidoravicius, CWI-Amsterdam and IMPA-Rio de Janeiro
"Absorbing-State Phase Transition for Stochastic Sandpiles and Activated Random Walks"
Abstract:
We study long time behavior of one-dimensional conservative interacting particle systems on $mathbb Z$. In particular, we consider the Activated Random Walk Model for reaction-diffusion systems, and Stochastic Sandpile Model. Our main result, based on Diaconis-Fulton representation of dynamics, is that the system locally fixates when the initial density of particles is small enough, establishing the existence of a non-trivial phase transition in the density parameter. This fact has been predicted by theoretical physics arguments and supported by numerical analysis.
| 10.07.2009 | Петров Леонид Александрович |