Seminari del Dipartimento
Analisi Matematica Conservative interacting particle systems: "Oil and Water" and "Activated Random Walk". Lorenzo Taggi 03-10-2018 - 16:00 Largo San Leonardo Murialdo,1 - Pal.C - Aula 211
We consider two interacting particle systems, Activated Random Walk (ARW) and Oil and Water (OW). One of the main features of these systems is that the number of particles is conserved: This conservation law introduces hard-core constraints and long-range correlations which make the mathematical analysis particularly challenging. In this talk the main questions and results concerning these models are presented: In ARW, if the particle density is small enough, the activity dies out with time, while if the particle density is large enough the activity is sustained; moreover a non-trivial characterization of the critical density is available. Contrary to ARW, no phase transition occurs in OW: The activity dies out with time does not matter how large the particle density is. Based on joint works with E. Candellero and A. Stauffer. |