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, so our proof shows that randomness will only enhance fluctuations. AMS 2000 subject classification: 60K57, 82B24,82B44.
منابع مشابه
2 1 Ju l 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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