Pan Deng, Ji Teng, Baggioli Matteo, Li Li, Jin Yuliang
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China.
School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China.
Sci Adv. 2022 Jun 3;8(22):eabm8028. doi: 10.1126/sciadv.abm8028. Epub 2022 Jun 1.
The holographic duality has proven successful in linking seemingly unrelated problems in physics. Recently, intriguing correspondences between the physics of soft matter and gravity are emerging, including strong similarities between the rheology of amorphous solids, effective field theories for elasticity, and the physics of black holes. However, direct comparisons between theoretical predictions and experimental/simulation observations remain limited. Here, we study the effects of nonlinear elasticity on the mechanical and thermodynamic properties of amorphous materials responding to shear, using effective field and gravitational theories. The predicted correlations among the nonlinear elastic exponent, the yielding strain/stress, and the entropy change due to shear are supported qualitatively by simulations of granular matter models. Our approach opens a path toward understanding the complex mechanical responses of amorphous solids, such as mixed effects of shear softening and shear hardening, and offers the possibility to study the rheology of solid states and black holes in a unified framework.
全息对偶已被证明在联系物理学中看似看似看似无关的问题方面取得了成功。最近，软物质物理学与引力之间出现了有趣的对应关系，包括非晶态固体的流变学、弹性有效场理论与黑洞物理学之间的强烈相似性。然而，理论预测与实验/模拟观测之间的直接比较仍然有限。在这里，我们使用有效场理论和引力理论研究非线性弹性对非晶材料在剪切作用下的力学和热力学性质的影响。颗粒物质模型的模拟定性地支持了非线性弹性指数、屈服应变/应力以及剪切引起的熵变之间的预测相关性。我们的方法为理解非晶态固体的复杂力学响应开辟了一条道路，例如剪切软化和剪切硬化的混合效应，并提供了在统一框架内研究固态和黑洞流变学的可能性。
