Metastability for Kawasaki dynamics at low temperature with two types of particles
| Dublin Core | PKP Metadata Items | Metadata for this Document | |
| 1. | Title | Title of document | Metastability for Kawasaki dynamics at low temperature with two types of particles |
| 2. | Creator | Author's name, affiliation, country | Frank den Hollander; Leiden University and EURANDOM; Netherlands |
| 2. | Creator | Author's name, affiliation, country | Francesca Romana Nardi; Technische Universiteit Eindhoven and EURANDOM; Netherlands |
| 2. | Creator | Author's name, affiliation, country | Alessio Troiani; Leiden University; Netherlands |
| 3. | Subject | Discipline(s) | |
| 3. | Subject | Keyword(s) | Multi-type particle systems; Kawasaki dynamics; metastable region; metastable transition time; critical droplet; potential theory; Dirichlet form; capacity |
| 3. | Subject | Subject classification | 60K35; 82C26 |
| 4. | Description | Abstract | This is the first in a series of three papers in which we study a two-dimensional lattice gas consisting of two types of particles subject to Kawasaki dynamics atlow temperature in a large finite box with an open boundary. Each pair of particlesoccupying neighboring sites has a negative binding energy provided their types aredifferent, while each particle has a positive activation energy that depends onits type. There is no binding energy between neighboring particles of the same type.At the boundary of the box particles are created and annihilated in a way thatrepresents the presence of an infinite gas reservoir. We start the dynamics from the empty box and compute the transition time to the full box. This transition is triggered by a critical droplet appearing somewhere in the box. We identify the region of parameters for which the system is metastable. For thisregion, in the limit as the temperature tends to zero, we show that the firstentrance distribution on the set of critical droplets is uniform, compute theexpected transition time up to a multiplicative factor that tends to one, and prove that the transition time divided by its expectation is exponentially distributed. These results are derived under three hypotheses on the energy landscape, which are verified in the second and the third paper for a certain subregion of the metastable region. These hypotheses involve three model-dependent quantities - the energy, the shape and the number of the critical droplets - which are identified in the second and the third paper as well. |
| 5. | Publisher | Organizing agency, location | |
| 6. | Contributor | Sponsor(s) | |
| 7. | Date | (YYYY-MM-DD) | 2012-01-01 |
| 8. | Type | Status & genre | Peer-reviewed Article |
| 8. | Type | Type | |
| 9. | Format | File format | |
| 10. | Identifier | Uniform Resource Identifier | http://ejp.ejpecp.org/article/view/1693 |
| 10. | Identifier | Digital Object Identifier | 10.1214/EJP.v17-1693 |
| 11. | Source | Journal/conference title; vol., no. (year) | Electronic Journal of Probability; Vol 17 |
| 12. | Language | English=en | 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
|