论文标题
黑色橡胶和规模不变固体的非线性弹性响应
Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids
论文作者
论文摘要
我们讨论规模不变固体中的非线性弹性响应。在先前的工作之后，我们将分析分为两个基本选项：根据比例不变性（SI）是明显的还是自发损坏的对称性。在后一种情况下，人们可以采用有效的现场理论方法，而在前者中，我们使用全息方法。我们专注于表现出弹性行为的一类简单的全息模型，并获得其非线性应力 - 应变曲线以及对弹性界限的估计 - 弹性（可逆）方向上可能最大的变形。即使在两种情况下都假定相同的应力 - 应变曲线时，界限在明显或自发损坏的Si病例中也有很大差异。此外，发现模型的超弹性子集（允许大变形）具有类似于天然橡胶的应力 - 应变曲线。我们将黑色橡胶配音的全息实例显示出更丰富的应力 - 应变曲线 - 在菌株的不同幅度下具有两个不同的幂律状态。
We discuss the nonlinear elastic response in scale invariant solids. Following previous work, we split the analysis into two basic options: according to whether scale invariance (SI) is a manifest or a spontaneously broken symmetry. In the latter case, one can employ effective field theory methods, whereas in the former we use holographic methods. We focus on a simple class of holographic models that exhibit elastic behaviour, and obtain their nonlinear stress-strain curves as well as an estimate of the elasticity bounds - the maximum possible deformation in the elastic (reversible) regime. The bounds differ substantially in the manifest or spontaneously broken SI cases, even when the same stress-strain curve is assumed in both cases. Additionally, the hyper-elastic subset of models (that allow for large deformations) is found to have stress-strain curves akin to natural rubber. The holographic instances in this category, which we dub black rubber, display richer stress-strain curves - with two different power-law regimes at different magnitudes of the strain.
