This paper is part of a study of the frictional dynamics of a confined solid lubricant film - modelled as a one-dimensional chain of interacting particles confined between two ideally incommensurate substrates, one of which is driven relative to the other through an attached spring moving at constant velocity. This model system is characterized by three inherent length scales; depending on the precise choice of incommensurability among them it displays a strikingly different tribological behavior. Contrary to two length-scale systems such as the standard Frenkel-Kontorova (FK) model, for large chain stiffness one finds that here the most favorable (lowest friction) sliding regime is achieved by chain-substrate incommensurabilities belonging to the class of non-quadratic irrational numbers (e.g., the spiral mean). The well-known golden mean (quadratic) incommensurability which slides best in the standard FK model shows instead higher kinetic-friction values. The underlying reason lies in the pinning properties of the lattice of solitons formed by the chain with the substrate having the closest periodicity, with the other slider.
State Key Laboratory of Solid Lubrication, Lanzhou Institute of Chemical Physics, Chinese Academy of Sciences（中国科学院兰州化学物理研究所固体润滑国家重点实验室）；Department of Engineering Mechanics, School of Civil Engineering, Wuhan University（武汉大学土木工程学院工程力学系）；State Key Laboratory of Water Resources Engineering and Management, Wuhan University（武汉大学水资源与水电工程科学国家重点实验室）；Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences（中国科学院大学材料科学与光电技术研究中心）
When wall slip wins over shear flow: A temperature-dependent Eyring slip law and a thermal multiscale model for diamond-like carbon lubricated by a polyalphaolefin oil
Fraunhofer IWM, MikroTribologie Centrum µTC（弗劳恩霍夫材料系统与应用研究所，微摩擦学中心）；Freiburg Materials Research Center, University of Freiburg（弗赖堡材料研究中心，弗赖堡大学）；Institute of Physics, University of Freiburg（物理研究所，弗赖堡大学）
Robust structural superlubricity of twisted graphene bilayer and domain walls between commensurate moiré pattern domains from first-principles calculations
Institute of Spectroscopy of Russian Academy of Sciences（俄罗斯科学院光谱研究所）；Kintech Lab Ltd.（Kintech实验室有限公司）；National Research Centre ``Kurchatov Institute''（库尔恰托夫国家研究中心）；Physics Department, Belarusian State University（白俄罗斯国立大学物理系）
