论文标题
与Mari-Kurchan互动的玻璃形式中的集体动力学
Collective dynamics in a glass-former with Mari-Kurchan interactions
论文作者
论文摘要
我们在数值上研究了二维Mari-Kurchan玻璃模型的平衡松弛动力学。粒子相互作用的树状结构禁止非平凡的结构基序和复杂的自由能景观的出现，导致热力学玻璃过渡，而模型的有限维质则可以防止存在模式耦合奇异性。然而，表明平衡弛豫动力学与传统玻璃形式中进行的模拟非常吻合。平均的时间相关函数显示出典型的超冷液体的现象学，包括在中间频率下放松光谱中过量信号的出现。我们表明，这种演变伴随着集体和异质动力学的强大签名，这些签名无法用单个粒子跳跃而解释，并从动态促进中出现。我们的研究表明，具有极为简单的结构相关性的非晶格相互作用粒子模型显示出定量逼真的玻璃动力学。
We numerically study the equilibrium relaxation dynamics of a two-dimensional Mari-Kurchan glass model. The tree-like structure of particle interactions forbids both non-trivial structural motifs and the emergence of a complex free-energy landscape leading to a thermodynamic glass transition, while the finite-dimensional nature of the model prevents the existence of a mode-coupling singularity. Nevertheless, the equilibrium relaxation dynamics is shown to be in excellent agreement with simulations performed in conventional glass-formers. Averaged time-correlation functions display a phenomenology typical of supercooled liquids, including the emergence of an excess signal in relaxation spectra at intermediate frequencies. We show that this evolution is accompanied by strong signatures of collective and heterogeneous dynamics which cannot be interpreted in terms of single particle hopping and emerge from dynamic facilitation. Our study demonstrates that an off-lattice interacting particle model with extremely simple structural correlations displays quantitatively realistic glassy dynamics.
