Dry friction in the Frenkel-Kontorova-Tomlinson model: Static properties.
Dry friction in the Frenkel-Kontorova-Tomlinson model: Static properties.
复制标题
DOI：
10.1103/physrevb.53.7539
复制
发表时间：
1996-03
期刊：
影响因子：
--
通讯作者：
Weiss;Elmér
中科院分区：
文献类型：
--
作者：
Weiss;Elmér
我们调查无磨损摩擦在一个简单的机械模型称为Frenkel-Kontorova-Tomlinson模型。它结合了Frenkel-Kontorova模型（即空间周期势中的谐波链）和汤姆林森模型（即连接到描述另一表面的固定势中的滑动表面的独立振荡器）。我们研究静态性质，如基态，亚稳态，静摩擦，以及在准静态滑动极限的动摩擦。在Frenkel-Kontorova模型中，行为强烈依赖于晶格常数的比例是公度还是不公度。在无公度的情况下，奥布里的转变打破了解析性也出现在弗兰克尔-康托洛娃-汤姆林森模型。该行为强烈地依赖于滑动表面之间的相互作用的强度。对于增加相互作用，我们发现三个阈值，这表示出现的静摩擦，动摩擦的准静态限制，并在该顺序的亚稳态。它们只有在不相称的情况下才是相同的。在相称的情况下，静摩擦可以是非零的，即使当滑动速度变为零时动摩擦消失。
We investigate wearless friction in a simple mechanical model called the Frenkel-Kontorova-Tomlinson model. It combines the Frenkel-Kontorova model (ie, a harmonic chain in a spatially periodic potential) with the Tomlinson model (ie, independent oscillators connected to a sliding surface in a fixed potential describing the other surface). We investigate static properties like the ground state, the metastable states, and static friction, as well as the kinetic friction in the limit of quasistatic sliding. As in the Frenkel-Kontorova model the behavior strongly depends on whether the ratio of lattice constants is commensurate or incommensurate. In the incommensurate case, Aubry’s transition by breaking of analyticity also appears in the Frenkel-Kontorova-Tomlinson model. The behavior depends strongly on the strength of the interaction between the sliding surfaces. For increasing interaction, we find three thresholds which denote the appearance of static friction, of kinetic friction in the quasistatic limit, and of metastable states in that order. These are identical only in the incommensurate case. In the commensurate case, static friction can be nonzero even though the kinetic friction vanishes for sliding velocity going to zero.© 1996 The American Physical Society.