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Lower bound estimate of the spectral gap for simple exclusion process with degenerate rates


 
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1. Title Title of document Lower bound estimate of the spectral gap for simple exclusion process with degenerate rates
 
2. Creator Author's name, affiliation, country Yukio Nagahata; Niigata University; Japan
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) exclusion process; degenerate rate; spectral gap
 
3. Subject Subject classification 60K35
 
4. Description Abstract We consider exclusion process with degenerate rates  in a finite torus with size $n$. This model is a simplified model for some peculiar phenomena of the "glassy" dynamics. We prove that the spectral gap is bounded below by $C\rho^4/n^2$, where $\rho = k/n$ denotes the density of particle and $C$ does not depend on $n$ nor $\rho$.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) JSPS KAKENHI Grant Number 23540132
 
7. Date (YYYY-MM-DD) 2012-10-26
 
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/1916
 
10. Identifier Digital Object Identifier 10.1214/EJP.v17-1916
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 17
 
12. Language English=en en
 
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