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arXiv math/0604068math.PRmath-phmath.MP
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d=2时无序无质量随机连续自旋模型的简单涨落下界

A simple fluctuation lower bound for a disordered massless random continuous spin model in d=2

C. Kuelske, E. Orlandi

摘要:

本文证明了无序连续自旋模型的离域化的log N的平方根阶的有限体积下界。有效界面模型),在尺寸为N的盒子中d = 2。假设相互作用是无质量的,可能是非谐的,并且从上面由高斯分布主导。无序通过线性源项进入。对于这个模型,具有相同速率的离域被证明已经发生而没有无序。我们提供了一个在无序结构中统一的边界,因此我们的证明表明随机性只会增强波动。

英文摘要:

We prove a finite volume lower bound of the order of the squareroot of log N 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 which is uniform in the configuration of the disorder, and so our proof shows that randomness will only enhance fluctuations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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