"Quantum phase transitions" in classical nonequilibrium processes
Condensed Matter
2016-08-31 v4
Abstract
Diffusion limited reaction of the Lotka-Volterra type is analyzed taking into account the discrete nature of the reactants. In the continuum approximation, the dynamics is dominated by an elliptic fixed-point. This fixed-point becomes unstable due to discretization effects, a scenario similar to quantum phase transitions. As a result, the long-time asymptotic behavior of the system changes and the dynamics flows into a limit cycle. The results are verified by numerical simulations.
Cite
@article{arxiv.cond-mat/9908450,
title = {"Quantum phase transitions" in classical nonequilibrium processes},
author = {Eldad Bettelheim and Oded Agam and Nadav M. Shnerb},
journal= {arXiv preprint arXiv:cond-mat/9908450},
year = {2016}
}
Comments
9 pages, 3 figures included