Critical Behavior of Massless Free Field at Depinning Transition
Critical Behavior of Massless Free Field at Depinning Transition
复制标题
无质量自由场在脱钉转变时的临界行为
DOI：
10.1007/s002200100542
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发表时间：
2000
影响因子：
2.4
通讯作者：
Y. Velenik
中科院分区：
文献类型：
--
作者：
E. Bolthausen;Y. Velenik
我们考虑d维无质量自由场的δ钉扎局域化。对于一般高斯相互作用，我们研究了场方差（whend= 2）及其2点函数衰减率（whend≥ 2）的渐近性，因为Ÿ趋于零。从物理上讲，我们严格地得到了相应d + 1维有效界面模型在非平均场区的横向和纵向关联长度的临界行为。我们还描述了一组钉扎网站在小的，广泛的一类d维无质量模型。
We consider thed-dimensional massless free field localized by a δ-pinning of strength ɛ. We study the asymptotics of the variance of the field (whend= 2), and of the decay-rate of its 2-point function (whend≥ 2), as ɛ goes to zero, for general Gaussian interactions. Physically speaking, we thus rigorously obtain the critical behavior of the transverse and longitudinal correlation lengths of the correspondingd+ 1-dimensional effective interface model in a non-mean-field regime. We also describe the set of pinned sites at small ɛ, for a broad class ofd-dimensional massless models.