2 1 Ju l 2 00 6 A simple fluctuation lower bound for a disordered massless random continuous spin model in d = 2 . ∗
نویسنده
چکیده
We prove a finite volume lower bound of the order √ logN 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. AMS 2000 subject classification: 60K57, 82B24,82B44.
منابع مشابه
2 00 6 A simple fluctuation lower bound for a disordered massless random continuous spin model in d = 2 . ∗
We prove a finite volume lower bound of the order √ logN 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...
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