Rate and State Friction Relation for Nanoscale Contacts: Thermally Activated Prandtl-Tomlinson Model with Chemical Aging

Physical Review Letters
Kaiwen TianRobert W Carpick

Abstract

Rate and state friction (RSF) laws are widely used empirical relationships that describe macroscale to microscale frictional behavior. They entail a linear combination of the direct effect (the increase of friction with sliding velocity due to the reduced influence of thermal excitations) and the evolution effect (the change in friction with changes in contact "state," such as the real contact area or the degree of interfacial chemical bonds). Recent atomic force microscope (AFM) experiments and simulations found that nanoscale single-asperity amorphous silica-silica contacts exhibit logarithmic aging (increasing friction with time) over several decades of contact time, due to the formation of interfacial chemical bonds. Here we establish a physically based RSF relation for such contacts by combining the thermally activated Prandtl-Tomlinson (PTT) model with an evolution effect based on the physics of chemical aging. This thermally activated Prandtl-Tomlinson model with chemical aging (PTTCA), like the PTT model, uses the loading point velocity for describing the direct effect, not the tip velocity (as in conventional RSF laws). Also, in the PTTCA model, the combination of the evolution and direct effects may be nonlinear. We p...Continue Reading

References

Jun 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·F HeslotC Caroli
Oct 4, 2000·Physical Review Letters·E GneccoH Guntherodt
Oct 4, 2003·Physical Review Letters·E RiedoH Brune
Dec 12, 2012·Physical Review Letters·Yun Liu, Izabela Szlufarska
Jan 12, 2016·Nanotechnology·A D CraciunM V Rastei
Mar 4, 2017·Physical Review Letters·Kaiwen TianRobert W Carpick
Jul 1, 2017·Physical Review Letters·Juan J MazoEnrico Gnecco
Dec 1, 2017·The Journal of Physical Chemistry. B·Kaiwen TianRobert W Carpick

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Citations

Apr 12, 2019·Science Advances·B WeberD Bonn
Jul 28, 2019·Physical Review Letters·M I DykmanEva M Weig
Jul 28, 2019·Physical Review Letters·Juan J MazoEnrico Gnecco
Oct 2, 2019·Physical Review Letters·C A MizziL D Marks
Feb 1, 2020·Physical Review Letters·Kaiwen TianRobert W Carpick
Jun 4, 2020·Chaos·Yuhui Luo, Chunhua Zeng
Dec 5, 2020·Physical Review Letters·Shen LiQunyang Li
Mar 2, 2021·Langmuir : the ACS Journal of Surfaces and Colloids·Xing'an CaoYitian Peng
Feb 7, 2020·ACS Applied Materials & Interfaces·D PetrovaB Weber

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