"Quantum phase transitions" in classical nonequilibrium processes

Preprint

1 March 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9908450

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.

Keywords

QUANTUM PHASE TRANSITIONS
CLASSICAL NONEQUILIBRIUM
NONEQUILIBRIUM PROCESSES
PROCESSES DIFFUSION
LIMITED REACTION
LIMIT CYCLE
REACTANTS

All Related Versions

Version 1, 1999-08-30, ArXiv
Version 2, 1999-12-13, ArXiv
Version 3, 2000-02-29, ArXiv
Version 4, 2000-03-01, ArXiv
Published version: Physica E: Low-dimensional Systems and Nanostructures, 9 (3), 600.

This publication has 0 references indexed in Scilit: