A Stochastic Combustion Model with Thresholds on Trees

Place one active particle at the root of a graph and a Poisson-distributed number of dormant particles at the other vertices. Active particles perform simple random walk. Once the number of visits to a site reaches a random threshold, any dormant particles there become active. For this process on in...

Full description

Saved in:
Bibliographic Details
Published in:Journal of statistical physics 2023-05, Vol.190 (5), Article 100
Main Authors: Junge, Matthew, McDonald, Zoe, Pulla, Jean, Reeves, Lily
Format: Article
Language:English
Subjects:
Combustion
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Place one active particle at the root of a graph and a Poisson-distributed number of dormant particles at the other vertices. Active particles perform simple random walk. Once the number of visits to a site reaches a random threshold, any dormant particles there become active. For this process on infinite d -ary trees, we show that the total number of root visits undergoes a phase transition.
ISSN:1572-9613
0022-4715
1572-9613
DOI:10.1007/s10955-023-03102-w