稳态下服从Dieterich-Ruina定律的磁摩擦模型
A model of magnetic friction obeying the Dieterich--Ruina law in the steady state
摘要：
本文提出了一个磁摩擦模型，研究了稳态时摩擦力与表面相对速度的关系。该模型由两个相邻的正方形晶格组成，其上部受到一个外力，磁相互作用起到了一种“势垒”的作用，阻止上部晶格移动。我们考虑两种表面类型的上格：光滑和粗糙。该模型的行为分为两个域，我们称之为域I和域II。在畴II中，外力占主导地位，而在畴I中，晶格的速度受到磁相互作用的抑制，并服从Dieterich-Ruina定律。无论表面是光滑的还是粗糙的，都可以观察到这种特性。
英文摘要：
We propose a model of magnetic friction and investigate the relation between the frictional force and the relative velocity of surfaces in the steady state. The model comprises two square lattices adjacent to each other, the upper of which is subjected to an external force, and the magnetic interaction acts as a kind of "potential barrier" that prevents the upper lattice from moving. We consider two surface types for the upper lattice: smooth and rough. The behavior of this model is classified into two domains, which we refer to as domains I and II. In domain II, the external force is dominant compared with other forces, whereas in the domain I, the the velocity of the lattice is suppressed by the magnetic interaction and obeys the Dieterich--Ruina law. This characteristic property can be observed regardless of whether the surface is smooth or rough.
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