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首页> 外文期刊>Physical review, E >Contact changes of sheared systems: Scaling, correlations, and mechanisms
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Contact changes of sheared systems: Scaling, correlations, and mechanisms

机译：剪切系统的联系方式：缩放，相关性和机制

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We probe the onset and effect of contact changes in two-dimensional soft harmonic particle packings which are sheared quasistatically under controlled strain. First, we show that, in the majority of cases, the first contact changes correspond to the creation or breaking of contacts on a single particle, with contact breaking overwhelmingly likely for low pressures and/or small systems, and contact making and breaking equally likely for large pressures and in the thermodynamic limit. The statistics of the corresponding strains are near-Poissonian, in particular for large-enough systems. The mean characteristic strains exhibit scaling with the number of particles N and pressure P and reveal the existence of finite-size effects akin to those seen for linear response quantities [C.P. Goodrich et al., Phys. Rev. Lett. 109, 095704 (2012); C.P. Goodrich et al., Phys. Rev. E 90, 022138 (2014)]. Second, we show that linear response accurately predicts the strains of the first contact changes, which allows us to accurately study the scaling of the characteristic strains of making and breaking contacts separately. Both of these show finite-size scaling, and we formulate scaling arguments that are consistent with the observed behavior. Third, we probe the effect of the first contact change on the shear modulus G and show in detail how the variation of G remains smooth and bounded in the large-system-size limit: Even though contact changes occur then at vanishingly small strains, their cumulative effect, even at a fixed value of the strain, are limited, so, effectively, linear response remains well defined. Fourth, we explore multiple contact changes under shear and find strong and surprising correlations between alternating making and breaking events. Fifth, we show that by making a link with extremal statistics, our data are consistent with a very slow crossover to self-averaging with system size, so the thermodynamic limit is reached much more slowly than expected based on finite-size scaling of elastic quantities or contact breaking strains.
机译：我们探讨了在受控菌株中被剪切的二维软谐波颗粒填料中接触变化的发作和效果。首先，我们表明，在大多数情况下，第一接触变化对应于单个粒子上的触点的创建或破坏，接触可能对低压力和/或小系统的可能性，以及均等可能用于大压力和热力学极限。相应菌株的统计数据是近泊松，特别是对于足够大的系统。平均特征菌株表现出缩小颗粒N和压力P的数量，并揭示了类似于用于线性响应量的那些存在的有限尺寸效果[C.P. Goodrich等人。，phy。 rev. lett。 109,095704（2012）; C.P. Goodrich等人。，phy。 Rev.E 90,022138（2014）]。其次，我们表明线性响应准确地预测了第一接触变化的菌株，这使我们能够准确地研究制造和分别打破触点的特征菌株的缩放。这两个都显示有限大小的缩放，我们制定了与观察到的行为一致的缩放参数。第三，我们探讨了第一次接触改变对剪切模量g的影响，并详细说明了G的变化如何保持光滑，在大系统尺寸限制中有界限：尽管发生接触变化，但在消失的小菌株时会发生接触变化。它们累积效果，即使在应变的固定值下，也有限，因此有效地，线性响应仍然明确。第四，我们探讨了剪切下的多种接触变化，并在交替制作和破坏事件之间找到强烈而令人惊讶的相关性。第五，我们表明，通过与极值统计数据进行联系，我们的数据与具有系统尺寸的自平均值的自平均值相一致，因此基于弹性量的有限尺寸缩放，热力学限制比预期更慢或接触断裂菌株。

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