CAS Key Laboratory of Soft Matter Chemistry, Hefei National Laboratory for Physical Sciences at the Microscale, and Department of Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.
Phys Rev Lett. 2014 Apr 11;112(14):145502. doi: 10.1103/PhysRevLett.112.145502. Epub 2014 Apr 10.
By finding local minima of a thermodynamic-like potential, we generate jammed packings of frictionless spheres under constant shear stress σ and obtain the yield stress σy by sampling the potential energy landscape. For three-dimensional systems with harmonic repulsion, σy satisfies the finite size scaling with the limiting scaling relation σy∼ϕ-ϕc,∞, where ϕc,∞ is the critical volume fraction of the jamming transition at σ=0 in the thermodynamic limit. The finite size scaling implies a length ξ∼(ϕ-ϕc,∞)-ν with ν=0.81±0.05, which turns out to be a robust and universal length scale exhibited as well in the finite size scaling of multiple quantities measured without shear and independent of particle interaction. Moreover, comparison between our new approach and quasistatic shear reveals that quasistatic shear tends to explore low-energy states.
通过寻找热力学势的局部最小值，我们在恒定剪切应力σ下生成无摩擦球体的堆积，通过对势能景观进行采样来获得屈服应力σy。对于具有调和排斥的三维系统，σy 满足有限尺寸标度，具有极限标度关系 σy∼ϕ-ϕc,∞，其中 ϕc,∞ 是在热力学极限下 σ=0 时的堆积转变的临界体积分数。有限尺寸标度意味着长度 ξ∼(ϕ-ϕc,∞)-ν，其中 ν=0.81±0.05，这是一个稳健且通用的长度尺度，在没有剪切且独立于粒子相互作用的情况下测量的多个量的有限尺寸标度中也表现出来。此外，我们的新方法与准静态剪切的比较表明，准静态剪切倾向于探索低能态。
