Interface Motion in Random Media
Interface Motion in Random Media
复制标题
随机媒体中的界面运动
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
A. Teixeira
中科院分区：
文献类型：
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作者：
T. Bodineau;A. Teixeira
我们研究随机环境中离散表面动力学的钉扎相变。设计了重正化程序来证明界面在有限尺寸条件下以正速度移动。然后针对微观动力学的不同示例检查该条件，以说明该方法的灵活性。我们在示例中展示了各种模型存在相变，包括高维界面、相关环境和具有任意深度障碍的环境。最后，我们的弹道性准则被证明在 Lipschitz 界面模型的临界阈值内是有效的。
We study the pinning phase transition for discrete surface dynamics in random environments. A renormalization procedure is devised to prove that the interface moves with positive velocity under a finite size condition. This condition is then checked for different examples of microscopic dynamics to illustrate the flexibility of the method. We show in our examples the existence of a phase transition for various models, including high dimensional interfaces, dependent environments and environments with arbitrarily deep obstacles. Finally, our ballisticity criterion is proved to be valid up to the critical threshold for a Lipschitz interface model.