Annuncio di Seminario

Lorenzo Taggi (TU Darmstadt, Germania)

Titolo: Conservative interacting particle systems: "Oil and Water" and
"Activated Random Walk".

Mercoledi' 03 Ottobre 2018 ORE 16:00

Dipartimento di Matematica e Fisica 
Universita' degli Studi Roma Tre
Largo San Leonardo Murialdo,1 - Pal.C - Aula 211

Abstract
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.