Articular cartilage is a natural tribochemical device just-designed by nature. Yet, a vivid debate goes on toward the mechanisms by which its nanoscopic viscoelastic properties facilitate lubrication in terms of ultralow static and kinetic friction coefficients. In this concisely conducted conceptual discussion, we wish to point out that a nanoscale tribomechanistic description based upon certain "viscoelastic quanta", called fractons, expressing spectral-mechanical properties of viscoelastic nets under the influence of force/pressure factor(s), may contribute substantially to the elucidation of ultralow coefficients of friction in the articular cartilage of predictable relaxational response. Our example unveils a part of a mechanically responsive viscoelastic network, such as a tied piece of hyaluronan molecule, fit in an Edwards type tube, in which upon water--mediated interaction of lipids with the hyaluronan when subjected to loading at the nanoscale, a consecutive stress-field and ion diffusion action is going to occur simultaneously. It results in a natural-logarithmic formula that interrelates a number of hyaluronan's interactive residues, N, with certain molecular-elastic (an exponent γ) and surface-to-volume (nano-colloid type) characteristics of around 2/3 to emerge near thermodynamic equilibrium, that is to say after a frictional loading action performed. It enables to relate uniquely a value of the exponent 0 < γ < 1/2 with a virtual tribomicellization scenario of the nanoscale friction--lubrication event accompanied by inevitable tubular-milieu viscosity alterations when the quasi-static friction scenario shows up, preferably with γ to 1/3 from above for large enough N–s. A periodic vibrational super-biopolymer's mode is exploited, leading to a change in the nanoscale friction-lubrication period from which an opportunity to involve an essential contribution to the (nanoscale) coefficient of friction arises.

中文翻译：

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生物系统中的纳米级润滑在离子溶液中网络生物聚合物的分数和光谱力学特性方面进行了合理化

关节软骨是大自然刚刚设计的一种天然摩擦化学装置。然而，就超低静摩擦系数和动摩擦系数而言，其纳米级粘弹性特性促进润滑的机制继续存在激烈的争论。在这个简洁地进行的概念讨论中，我们希望指出基于某些“粘弹性量子”的纳米级摩擦力学描述，称为分形，表达粘弹性网在力/压力因素影响下的光谱力学特性，可能有助于基本上阐明了可预测的松弛反应的关节软骨中的超低摩擦系数。我们的示例揭示了机械响应粘弹性网络的一部分，例如绑在一起的透明质酸分子，安装在 Edwards 型管中，当在纳米级加载时，当脂质与透明质酸发生水介导的相互作用时，连续的应力场和离子扩散作用将同时发生。它产生了一个自然对数公式，该公式将许多透明质酸的相互作用残基相互关联，N，具有大约 2/3 的某些分子弹性（指数 γ）和表面体积（纳米胶体类型）特性，出现在热力学平衡附近，也就是说，在执行摩擦载荷作用之后。它能够将指数 0 < γ < 1/2 的值与纳米级摩擦的虚拟摩擦胶束化场景相关联——当准静态摩擦场景出现时，伴随不可避免的管状环境粘度变化的润滑事件，优选地与对于足够大的N –s，从上方 γ 到 1/3 。利用周期性振动超级生物聚合物的模式，导致纳米级摩擦润滑周期的变化，由此产生对（纳米级）摩擦系数做出重要贡献的机会。