Statistical theory of the boundary friction of atomically flat solid surfaces in the presence of a lubricant layer

A rheological model and a thermodynamic model are proposed for describing the melting of an ultrathin lubricant film between atomically flat solid surfaces. Hysteresis phenomena are considered, allowing for the stress and strain dependence of the lubricant shear modulus. The self-similar regime of lubricant melting is studied taking the additive noncorrelated noise of basic parameters into account. The regions of dry, sliding, and stick—slip friction are determined in the phase diagram. Shear stress time series are obtained by numerically analyzing the Langevin equation and are then subjected to multifractal fluctuation analysis. The dependence of the stationary friction force on the lubricant temperature and on the shear velocity of rubbing surfaces is investigated.

PACS: 05.70.Ce, 05.70.Ln, 47.15.gm, 62.20.Qp, 64.60.−i, 68.35.Af, 68.60.−p (all)
DOI: 10.3367/UFNe.0182.201210f.1081
URL: https://ufn.ru/en/articles/2012/10/f/
Web of Science

000313096000006
Scopus

2-s2.0-84872110164
ADS NASA

2012PhyU...55.1008K
Citation: Khomenko A V, Lyashenko I A "Statistical theory of the boundary friction of atomically flat solid surfaces in the presence of a lubricant layer" Phys. Usp. 55 1008–1034 (2012)

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Received: 16th, August 2011, revised: 31st, May 2012, accepted: 18th, June 2012

Оригинал: Хоменко А В, Ляшенко Я А «Статистическая теория граничного трения атомарно-гладких твёрдых поверхностей при наличии смазочного слоя» УФН 182 1081–1110 (2012); DOI: 10.3367/UFNr.0182.201210f.1081

References (123) Cited by (24) Similar articles (20) ↓

A.D. Pogrebnjak, A.P. Shpak et al “Structures and properties of hard and superhard nanocomposite coatings” Phys. Usp. 52 29–54 (2009)
A.I. Olemskoi “Theory of stochastic systems with singular multiplicative noise” Phys. Usp. 41 269–301 (1998)
A.D. Pogrebnyak, M.A. Lisovenko et al “Protective coatings with nanoscale multilayer architecture: current state and main trends” Phys. Usp. 64 253–279 (2021)
Yu.L. Klimontovich “Problems in the statistical theory of open systems: Criteria for the relative degree of order in self-organization processes” Sov. Phys. Usp. 32 416–433 (1989)
A.M. Glezer, R.V. Sundeev et al “Physics of severe plastic deformation” Phys. Usp. 66 32–58 (2023)
A.I. Olemskoi, I.V. Koplyk “The theory of spatiotemporal evolution of nonequilibrium thermodynamic systems” Phys. Usp. 38 1061–1097 (1995)
V.N. Ryzhov, E.E. Tareyeva et al “Berezinskii—Kosterlitz—Thouless transition and two-dimensional melting” Phys. Usp. 60 857–885 (2017)
Yu.G. Rudoi, A.D. Sukhanov “Thermodynamic fluctuations within the Gibbs and Einstein approaches” Phys. Usp. 43 1169–1199 (2000)
G.V. Dedkov “Nanotribology: experimental facts and theoretical models” Phys. Usp. 43 541–572 (2000)
S.M. Stishov “Quantum effects in condensed matter at high pressure” Phys. Usp. 44 285–290 (2001)
A.I. Olemskoi “Supersymmetric field theory of a nonequilibrium stochastic system as applied to disordered heteropolymers” Phys. Usp. 44 479–513 (2001)
G.A. Martynov “The problem of phase transitions in statistical mechanics” Phys. Usp. 42 517–543 (1999)
L.I. Klushin, A.M. Skvortsov, A.A. Gorbunov “An exactly solvable model for first- and second-order transitions” Phys. Usp. 41 639–649 (1998)
V.M. Zhdanov, V.I. Roldugin “Non-equilibrium thermodynamics and kinetic theory of rarefied gases” Phys. Usp. 41 349–378 (1998)
A.V. Bushman, V.E. Fortov “Model equations of state” Sov. Phys. Usp. 26 465–496 (1983)
R.A. Andrievski, A.M. Glezer “Strength of nanostructures” Phys. Usp. 52 315 (2009)
D.V. Alexandrov, P.K. Galenko “Dendrite growth under forced convection: analysis methods and experimental tests” Phys. Usp. 57 771–786 (2014)
I.S. Lyubutin, A.G. Gavriliuk “Research on phase transformations in 3d-metal oxides at high and ultrahigh pressure: state of the art” Phys. Usp. 52 989–1017 (2009)
G.R. Ivanitskii “The self-organizing dynamic stability of far-from-equilibrium biological systems” Phys. Usp. 60 705–730 (2017)
V.V. Brazhkin “Ultrahard nanomaterials: myths and reality” Phys. Usp. 63 523–544 (2020)

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