Amorphous solids have peculiar properties distinct from crystals. One of the most fundamental mysteries is the emergence of solidity in such nonequilibrium, disordered state without the protection by long-range translational order. A jammed system at zero temperature, although marginally stable, has solidity stemming from the space-spanning force network, which gives rise to the long-range stress correlation. Here, we show that such nonlocal correlation already appears at the nonequilibrium glass transition upon cooling. This is surprising since we also find that the system suffers from giant anharmonic fluctuations originated from the fractal-like potential energy landscape. We reveal that it is the percolation of the force-bearing network that allows long-range stress transmission even under such circumstance. Thus, the emergent solidity of amorphous materials is a consequence of nontrivial self-organisation of the disordered mechanical architecture. Our findings point to the significance of understanding amorphous solids and nonequilibrium glass transition from a mechanical perspective.

无定形固体具有不同于晶体的特殊性质。最基本的谜团之一是在没有长程平移秩序保护的情况下，在这种非平衡、无序状态下会出现固体。零温度下的受干扰系统虽然略微稳定，但具有源自跨空间力网络的坚固性，这会产生远程应力相关性。在这里，我们表明这种非局部相关性已经出现在冷却时的非平衡玻璃化转变中。这是令人惊讶的，因为我们还发现该系统遭受源自分形势能景观的巨大非谐波动。我们发现，即使在这种情况下，也正是受力网络的渗透允许远距离应力传递。因此，无定形材料的突现坚固性是无序机械结构非平凡自组织的结果。我们的发现指出了从机械角度理解无定形固体和非平衡玻璃化转变的重要性。