The Library
Non-equilibrium transitions between metastable fixed-points in slow-fast systems with a bifurcating slow manifold
Tools
Tools
Tools
Grafke, Tobias and Vanden-Eijnden, Eric (2017) Non-equilibrium transitions between metastable fixed-points in slow-fast systems with a bifurcating slow manifold. Journal of Statistical Mechanics : Theory and Experiment, 2017 . 093208. doi:10.1088/1742-5468/aa85cb
|
PDF
WRAP-non-equilibrium-transitions-multiscale-systems-Grafke-2017.pdf - Accepted Version - Requires a PDF viewer. Download (1142Kb) | Preview |
Official URL: https://doi.org/10.1088/1742-5468/aa85cb
Abstract
Noise-induced transitions between metastable fixed points in systems evolving on multiple time scales are analyzed in situations where the time scale separation gives rise to a slow manifold with bifurcation. This analysis is performed within the realm of large deviation theory. It is shown that these non-equilibrium transitions make use of a reaction channel created by the bifurcation structure of the slow manifold, leading to vastly increased transition rates. Several examples are used to illustrate these findings, including an insect outbreak model, a system modeling phase separation in the presence of evaporation, and a system modeling transitions in active matter self-assembly. The last example involves a spatially extended system modeled by a stochastic partial differential equation.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Manifolds (Mathematics) , Bifurcation theory | ||||||
| Journal or Publication Title: | Journal of Statistical Mechanics : Theory and Experiment | ||||||
| Publisher: | Institute of Physics Publishing Ltd. | ||||||
| ISSN: | 1742-5468 | ||||||
| Official Date: | 25 September 2017 | ||||||
| Dates: |
|
||||||
| Date of first compliant deposit: | 4 October 2017 | ||||||
| Volume: | 2017 | ||||||
| Article Number: | 093208 | ||||||
| DOI: | 10.1088/1742-5468/aa85cb | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Funder: | National Science Foundation (U.S.) (NSF) | ||||||
| Grant number: | DMR-1420073, DMS-1522767 |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
