论文标题
线性软球的关键能量景观
Critical energy landscape of linear soft spheres
论文作者
论文摘要
我们表明，当超过堵塞点的超过无定形固相时，软球与线性坡道电位相互作用，这是至关重要的，机械缩小的稳定，并与堵塞点本身共享许多特征。在整个阶段，势能景观的相关局部最小值显示了一个完全接触球的等静态接触网络，其统计数据由无限长度尺寸控制。这种能量最小值的激发是非线性的，系统的跨度，并以一组非平凡的临界指数为特征。我们执行数值模拟来衡量其值，并表明，尽管它们在数值精度范围内重合时，而关键指数出现在干扰下，但相应的激发的性质更丰富。因此，线性软球看起来是一类新的有限维系统，它们会自我组织为新的，关键的，边缘稳定的状态。
We show that soft spheres interacting with a linear ramp potential when overcompressed beyond the jamming point fall in an amorphous solid phase which is critical, mechanically marginally stable and share many features with the jamming point itself. In the whole phase, the relevant local minima of the potential energy landscape display an isostatic contact network of perfectly touching spheres whose statistics is controlled by an infinite lengthscale. Excitations around such energy minima are non-linear, system spanning, and characterized by a set of non-trivial critical exponents. We perform numerical simulations to measure their values and show that, while they coincide, within numerical precision, with the critical exponents appearing at jamming, the nature of the corresponding excitations is richer. Therefore, linear soft spheres appear as a novel class of finite dimensional systems that self-organize into new, critical, marginally stable, states.
