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Convergence of clock process in random environments and aging in Bouchaud's asymmetric trap model on the complete graph


 
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1. Title Title of document Convergence of clock process in random environments and aging in Bouchaud's asymmetric trap model on the complete graph
 
2. Creator Author's name, affiliation, country Véronique Gayrard; CNRS & Université d'Aix-Marseille; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Aging; clock processes; random dynamics; random environments; subordinators; trap models
 
3. Subject Subject classification 82C44; 60K35; 82D30; 60F17
 
4. Description Abstract In this paper the celebrated arcsine aging scheme of Ben Arous and Černý is taken up. Using a brand new approach based on point processes and weak convergence techniques, this scheme is implemented in a broad class of Markov jump processes in random environments that includes Glauber dynamics of discrete disordered systems. More specifically, conditions are given for the underlying clock process (a partial sum process that measures the total time elapsed along paths of a given length) to converge to a subordinator, and consequences for certain time correlation functions are drawn. This approach is applied to Bouchaud's asymmetric trap model on the complete graph for which aging is for the first time proved, and the full, optimal picture,  obtained. Application to  spin glasses are carried out in follow up papers.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) CNRS
 
7. Date (YYYY-MM-DD) 2012-08-01
 
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/2211
 
10. Identifier Digital Object Identifier 10.1214/EJP.v17-2211
 
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.)
 
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