Directed polymers in a random environment: Some results on fluctuations
 M. S. T. Piza
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We consider a polymer model on ℤ _{+} ^{ d } where to each edgee is associated a random variable v(e). A polymer configuration is represented by a directed pathr and has a weight exp[β ∑_{ e }∈r ν(e)], withβ=1/T the inverse temperature. We extend some rigorous results that have been obtained for the ground state of this model to finite temperatures. In particular we obtain some upper and lower bounds on sampletosample free energy fluctuations, and also rigorous scaling inequalities between the exponents describing free energy fluctuations and transversal displacements of polymer configurations
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 Title
 Directed polymers in a random environment: Some results on fluctuations
 Journal

Journal of Statistical Physics
Volume 89, Issue 34 , pp 581603
 Cover Date
 19971101
 DOI
 10.1007/BF02765537
 Print ISSN
 00224715
 Online ISSN
 15729613
 Publisher
 Springer US
 Additional Links
 Topics
 Keywords

 Directed polymers
 random environment
 scaling relations
 free energy
 variance
 Industry Sectors
 Authors

 M. S. T. Piza ^{(1)}
 Author Affiliations

 1. Statistical Laboratory, University of Cambridge, 16 Mill Lane, CB2 1SB, Cambridge, UK