Superdiffusivity for directed polymer in corelated random environment

Hubert Lacoin[1]

  • [1] Università degli Studi “Roma Tre”, Largo San Leonardo Murialdo, 00146 Roma

Actes des rencontres du CIRM (2010)

  • Volume: 2, Issue: 1, page 25-26
  • ISSN: 2105-0597

Abstract

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The directed polymer in random environment models the behavior of a polymer chain in a solution with impurities. It is a particular case of random walk in random environment. In 1 + 1 dimensional environment is has been shown by Petermann that this random walk is superdiffusive. We show superdiffusivity properties are reinforced were there are long ranged correlation in the environment and that super diffusivity also occurs in higher dimensions.

How to cite

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Lacoin, Hubert. "Superdiffusivity for directed polymer in corelated random environment." Actes des rencontres du CIRM 2.1 (2010): 25-26. <http://eudml.org/doc/115845>.

@article{Lacoin2010,
abstract = {The directed polymer in random environment models the behavior of a polymer chain in a solution with impurities. It is a particular case of random walk in random environment. In $1+1$ dimensional environment is has been shown by Petermann that this random walk is superdiffusive. We show superdiffusivity properties are reinforced were there are long ranged correlation in the environment and that super diffusivity also occurs in higher dimensions.},
affiliation = {Università degli Studi “Roma Tre”, Largo San Leonardo Murialdo, 00146 Roma},
author = {Lacoin, Hubert},
journal = {Actes des rencontres du CIRM},
language = {eng},
month = {12},
number = {1},
pages = {25-26},
publisher = {CIRM},
title = {Superdiffusivity for directed polymer in corelated random environment},
url = {http://eudml.org/doc/115845},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Lacoin, Hubert
TI - Superdiffusivity for directed polymer in corelated random environment
JO - Actes des rencontres du CIRM
DA - 2010/12//
PB - CIRM
VL - 2
IS - 1
SP - 25
EP - 26
AB - The directed polymer in random environment models the behavior of a polymer chain in a solution with impurities. It is a particular case of random walk in random environment. In $1+1$ dimensional environment is has been shown by Petermann that this random walk is superdiffusive. We show superdiffusivity properties are reinforced were there are long ranged correlation in the environment and that super diffusivity also occurs in higher dimensions.
LA - eng
UR - http://eudml.org/doc/115845
ER -

References

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  8. J.Z. Imbrie and T. Spencer, Diffusion of Directed Polymers in a Random Environment, Jour. Stat. Phys. 52 (1988), 609–622. Zbl1084.82595MR968950
  9. H. Lacoin, New bounds for the free energy of directed polymers in dimension 1 + 1 and 1 + 2 , Commun. Math. Phys. 294 (2010) 471-503. Zbl1227.82098MR2579463
  10. H. Lacoin Influence of spacial correlation for directed polymers, to appear in Ann. Probab. 
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  12. M. Petermann, Superdiffusivity of directed polymers in random environment, Phd Thesis (2000). 

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