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Fluctuation exponents for directed polymers in the intermediate disorder regime


 
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1. Title Title of document Fluctuation exponents for directed polymers in the intermediate disorder regime
 
2. Creator Author's name, affiliation, country Gregorio R. Moreno Flores; Pointifica Universidad Catolica de Chile; Chile
 
2. Creator Author's name, affiliation, country Timo Seppäläinen; University of Wisconsin - Madison; United States
 
2. Creator Author's name, affiliation, country Benedek Valkó; University of Wisconsin - Madison; United States
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) directed polymers, scaling exponents, KPZ scaling; KPZ equation
 
3. Subject Subject classification 60K35; 60K37; 82D60
 
4. Description Abstract We derive exact fluctuation exponents for a solvable model of one-dimensional directed polymers in random environment in the intermediate scaling regime. This regime corresponds to taking the inverse temperature to zero as the size of the system goes to infinity. The exponents satisfy the KPZ scaling relation and coincide with physical predictions.In the critical case, we recover the fluctuation exponent of the Hopf-Cole solution of the KPZ equation in equilibrium and close to equilibrium.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSF, NC
 
7. Date (YYYY-MM-DD) 2014-09-26
 
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/3307
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-3307
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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