We perform numerical simulations of a long-range spherical spin glass with two and three body interaction terms. We study the gradient descent dynamics and the inherent structures found after a quench from initial conditions well thermalized at temperature T _in. In very large systems, the dynamics perfectly agrees with the integration of the mean-field dynamical equations. In particular, we confirm the existence of an onset initial temperature, within the liquid phase, below which the energy of the inherent structures undoubtedly depends on T _in. This behavior is in contrast with that of pure models, where there is a ‘threshold energy’ that attracts all the initial configurations in the liquid. Our results strengthen the analogy between mean-field spin glass models and supercooled liquids.

我们对具有两个和三个主体相互作用项的远程球形自旋玻璃进行数值模拟。我们研究的梯度下降动力学和从温度以及热化的初始条件的淬火后发现的固有结构Ť _在。在非常大的系统中，动力学与均场动力学方程的积分完全吻合。特别是，我们确认了液相中存在起始的初始温度，低于该温度时，固有结构的能量无疑取决于T _in。这种行为与纯模型的行为相反，纯模型的行为有一个“阈值能量”，该阈值能量吸引了液体中的所有初始配置。我们的结果加强了平均场旋转玻璃模型与过冷液体之间的类比。