界面动力学的统一范式
Unified paradigm for interface dynamics
摘要：
在本文中，我们开发了一个共同的理论框架薄无特征接口的动力学。我们明确地表明，相同的相场和速度依赖的单尺度模型特征的相对论域壁的动力学，在宇宙学的背景下，也可以成功地描述，在摩擦为主的制度，在各种各样的材料系统的非相对论界面的动力学。我们进一步表明，统计版本的冯诺依曼定律适用于缩放相对论性接口网络的情况下，这意味着，虽然相对论性和非相对论性接口有非常不同的动态，一个单一的模拟快照是无法清楚地区分这两个政权。我们强调，关键的信息包含在概率分布函数的边界的接口网络的域的边缘的数量，并解释为什么实验室测试与非相对论接口可以用来排除宇宙学域壁作为一个重要的暗能量源。
英文摘要：
In this paper we develop a common theoretical framework for the dynamics of thin featureless interfaces. We explicitly demonstrate that the same phase field and velocity dependent one-scale models characterizing the dynamics of relativistic domain walls, in a cosmological context, can also successfully describe, in a friction dominated regime, the dynamics of nonrelativistic interfaces in a wide variety of material systems. We further show that a statistical version of von Neumann's law applies in the case of scaling relativistic interface networks, implying that, although relativistic and nonrelativistic interfaces have very different dynamics, a single simulation snapshot is not able to clearly distinguish the two regimes. We highlight that crucial information is contained in the probability distribution function for the number of edges of domains bounded by the interface network and explain why laboratory tests with nonrelativistic interfaces can be used to rule out cosmological domain walls as a significant dark energy source.
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