Stochastic Turing Patterns on a Network
Statistical Mechanics
2015-06-04 v1
Abstract
The process of stochastic Turing instability on a network is discussed for a specific case study, the stochastic Brusselator model. The system is shown to spontaneously differentiate into activator-rich and activator-poor nodes, outside the region of parameters classically deputed to the deterministic Turing instability. This phenomenon, as revealed by direct stochastic simulations, is explained analytically, and eventually traced back to the finite size corrections stemming from the inherent graininess of the scrutinized medium.
Cite
@article{arxiv.1204.1475,
title = {Stochastic Turing Patterns on a Network},
author = {Malbor Asslani and Francesca Di Patti and Duccio Fanelli},
journal= {arXiv preprint arXiv:1204.1475},
year = {2015}
}
Comments
The movies referred to in the paper are provided upon request. Please send your requests to Duccio Fanelli (duccio.fanelli@gmail.com) or Francesca Di Patti (f.dipatti@gmail.com)