This paper provides information about the asymptotic behavior of a one-dimensional Brownian polymer in random medium represented by a Gaussian field W on ℝ+×ℝ which is white noise in time and function-valued in space. According to the behavior of the spatial covariance of W, we give a lower bound on the power growth (wandering exponent) of the polymer when the time parameter goes to infinity: the polymer is proved to be superdiffusive, with a wandering exponent exceeding any α<3/5.
Publié le : 2008-09-15
Classification:
Polymer model,
random medium,
Gaussian field,
free energy,
wandering exponent,
82D60,
60K37,
60G15
@article{1221138762,
author = {Bezerra, S\'ergio and Tindel, Samy and Viens, Frederi},
title = {Superdiffusivity for a Brownian polymer in a continuous Gaussian environment},
journal = {Ann. Probab.},
volume = {36},
number = {1},
year = {2008},
pages = { 1642-1675},
language = {en},
url = {http://dml.mathdoc.fr/item/1221138762}
}
Bezerra, Sérgio; Tindel, Samy; Viens, Frederi. Superdiffusivity for a Brownian polymer in a continuous Gaussian environment. Ann. Probab., Tome 36 (2008) no. 1, pp. 1642-1675. http://gdmltest.u-ga.fr/item/1221138762/