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Fixation for coarsening dynamics in 2D slabs


 
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1. Title Title of document Fixation for coarsening dynamics in 2D slabs
 
2. Creator Author's name, affiliation, country Michael Damron; Indiana University; United States
 
2. Creator Author's name, affiliation, country Hana Kogan; New York University; United States
 
2. Creator Author's name, affiliation, country Charles M. Newman; New York University; United States
 
2. Creator Author's name, affiliation, country Vladas Sidoravicius; IMPA; Brazil
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Coarsening, Glauber Dynamics, Ising model
 
3. Subject Subject classification 60K35, 82B43
 
4. Description Abstract We study zero-temperature Ising Glauber Dynamics, on $2D$ slabs of thickness $k \geq 2$. In this model, $\pm 1$-valued spins at integer sites update according to majority vote dynamics with two opinions. We show that all spins reaches a final state (that is, the system fixates) for $k=2$ under free boundary conditions and for $k=2$ or $3$ under periodic boundary conditions. For thicker slabs there are sites that fixate and sites that do not.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSF (OISE and DMS), Brazil CNPq, FaperJ grant
 
7. Date (YYYY-MM-DD) 2013-12-17
 
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/3059
 
10. Identifier Digital Object Identifier 10.1214/EJP.v18-3059
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 18
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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