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A simple fluctuation lower bound for a disordered massless random continuous spin model in $d=2$


 
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1. Title Title of document A simple fluctuation lower bound for a disordered massless random continuous spin model in $d=2$
 
2. Creator Author's name, affiliation, country Christof Kuelske; University of Groningen
 
2. Creator Author's name, affiliation, country Enza Orlandi; Universita di Roma Tre
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Interfaces, quenched systems, continuous spin models, entropy inequality
 
3. Subject Subject classification 60K57; 82B24,;82B44
 
4. Description Abstract We prove a finite volume lower bound of the order $\sqrt{\log N}$ on the delocalization of a disordered continuous spin model (resp. effective interface model) in $d=2$ in a box of size $N$. The interaction is assumed to be massless, possibly anharmonic and dominated from above by a Gaussian. Disorder is entering via a linear source term. For this model delocalization with the same rate is proved to take place already without disorder. We provide a bound that is uniform in the configuration of the disorder, and so our proof shows that disorder will only enhance fluctuations.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) MURST (2004-06), Cofin: Prin 2004028108
 
7. Date (YYYY-MM-DD) 2006-09-14
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1218
 
10. Identifier Digital Object Identifier 10.1214/ECP.v11-1218
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 11
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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