Indexing metadata

Uniform Estimates for Metastable Transition Times in a Coupled Bistable System


 
Dublin Core PKP Metadata Items Metadata for this Document
 
1. Title Title of document Uniform Estimates for Metastable Transition Times in a Coupled Bistable System
 
2. Creator Author's name, affiliation, country Florent Barret; École Polytechnique; France
 
2. Creator Author's name, affiliation, country Anton Bovier; Rheinische Friedrich-Wilhelms-Universität; Germany
 
2. Creator Author's name, affiliation, country Sylvie Méléard; École Polytechnique; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Metastability; coupled bistable systems; stochastic Ginzburg-Landau equation; metastable transition time; capacity estimates
 
3. Subject Subject classification 82C44; 60K35
 
4. Description Abstract We consider a coupled bistable $N$-particle system on $\mathbb{R}^N$ driven by a Brownian noise, with a strong coupling corresponding to the synchronised regime. Our aim is to obtain sharp estimates on the metastable transition times between the two stable states, both for fixed $N$ and in the limit when $N$ tends to infinity, with error estimates uniform in $N$. These estimates are a main step towards a rigorous understanding of the metastable behavior of infinite dimensional systems, such as the stochastically perturbed Ginzburg-Landau equation. Our results are based on the potential theoretic approach to metastability.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) SFB 611; the Hausdorff Center for Mathematics; TU Berlin; ENS Cachan
 
7. Date (YYYY-MM-DD) 2010-04-09
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/751
 
10. Identifier Digital Object Identifier 10.1214/EJP.v15-751
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 15
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
15. Rights Copyright and permissions The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available.

Summary of the Creative Commons Attribution License

You are free
  • to copy, distribute, display, and perform the work
  • to make derivative works
  • to make commercial use of the work
under the following condition of Attribution: others must attribute the work if displayed on the web or stored in any electronic archive by making a link back to the website of EJP via its Digital Object Identifier (DOI), or if published in other media by acknowledging prior publication in this Journal with a precise citation including the DOI. For any further reuse or distribution, the same terms apply. Any of these conditions can be waived by permission of the Corresponding Author.