Microscopic structure of a decreasing shock for the asymmetric $k$-step exclusion process
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1. | Title | Title of document | Microscopic structure of a decreasing shock for the asymmetric $k$-step exclusion process |
2. | Creator | Author's name, affiliation, country | Herve Guiol; IMA-EPFL |
2. | Creator | Author's name, affiliation, country | Krishnamurthi Ravishankar; SUNY, College at New Paltz |
2. | Creator | Author's name, affiliation, country | Ellen Saada; CNRS Rouen |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | Asymmetric k-step exclusion process, Non-convex or non-concave flux, microscopic shock, rightmost particle |
3. | Subject | Subject classification | 60K35 |
4. | Description | Abstract | The asymmetric $k$-step exclusion processes are the simplest interacting particle systems whose hydrodynamic equation may exhibit both increasing and decreasing entropic shocks under Euler scaling. We prove that, under Riemann initial condition with right density zero and adequate left density, the rightmost particle identifies microscopically the decreasing shock. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | |
7. | Date | (YYYY-MM-DD) | 2003-12-22 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ecp.ejpecp.org/article/view/1080 |
10. | Identifier | Digital Object Identifier | 10.1214/ECP.v8-1080 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Communications in Probability; Vol 8 |
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
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