Description of the Stationary Structural States of a Boundary Lubricant Making Use of the Relation between the Density-Modulation and Excess-Volume Order Parameters


  • I.A. Lyashenko Technische Universit¨at Berlin, Institut f¨ur Mechanik, FG Systemdynamik und Reibungsphysik, Sumy State University



boundary lubricant, friction force, stick-slip mode, order parameter, phase transition


A second-order phase transition between the structural states of a boundary lubricant sandwiched between atomically smooth solid surfaces has been described in the framework of the Landau theory of phase transitions, by using the density modulation and the excess volume as the order parameters. A relation between those order parameters is found. The stationary states of a lubricant and their dependences on such control parameters as the lubricant temperature, the elastic strain in the lubricant layer, and the external load on the friction surfaces are studied. The melting kinetics was simulated in the framework of a mechanical analog of the tribological system with elasticity.


M. Shisode, J. Hazrati, T. Mishra, M. de Rooij, C. ten Horn, J. van Beeck, T. van den Boogaard. Modeling boundary friction of coated sheets in sheet metal forming. Tribol. Int. 153, 106554 (2021).

R.I. Taylor, N. Morgan, R. Mainwaring, T. Davenport. How much mixed/boundary friction is there in an engine -

and where is it? Proc. Inst. Mech. Eng. J 234, 1563 (2020).

J. Zhang, Y. Meng. Boundary lubrication by adsorption film. Friction 3, 115 (2015).

H. Yoshizawa, J. Israelachvili. Fundamental mechanisms of interfacial friction. 2. Stick-slip friction of spherical and chain molecules. J. Phys. Chem. 97, 11300 (1993).

O.M. Braun, A.G. Naumovets. Nanotribology: Microscopic mechanisms of friction. Surf. Sci. Rep. 60, 79 (2006).

J.N. Israelachvili. Intermolecular and Surface Forces, 3rd edition (Academic Press, 2011).

B.N.J. Persson. Theory of friction: The role of elasticity in boundary lubrication. Phys. Rev. B 50, 4771 (1994).

A.E. Filippov, J. Klafter, M. Urbakh. Friction through dynamical formation and rupture of molecular bonds. Phys. Rev. Lett. 92, 135503 (2004).

I.A. Lyashenko, V.N. Borysiuk, N.N. Manko. Statistical analysis of self-similar behaviour in the shear induced melting model. Cond. Matt. Phys. 17, 23003 (2014).

V.L. Popov. Thermodynamics and kinetics of shear-induced melting of a thin layer of lubricant confined between solids. Tech. Phys. 71, 605 (2001).

F. Porcheron, B. Rousseau, M. Schoen, A.H. Fuchs. Structure and solvation forces in confined alkane films. Phys. Chem. Chem. Phys. 3, 1155 (2001).

M. Schoen, F. Porcheron. Collective dynamics near a phase transition in confined fluids. Eur. Phys. J. E 12, 5 (2003).

M. Schoen, F. Porcheron. Collective dynamics near fluid phase transitions. Phys. Rev. E 67, 051202 (2003).

P. Bryk, R. Roth, M. Schoen, S. Dietrich. Depletion potentials near geometrically structured substrates. Europhys. Lett. 63, 233 (2003).

S. Sacquin, M. Schoen, A.H. Fuchs. Fluid phase transitions at chemically heterogeneous, nonplanar solid substrates: Surface versus confinement effects. J. Chem. Phys. 118, 1453 (2003).

H. Bock, M. Schoen. Thermomechanical properties of confined fluids exposed to a shear strain J. Phys.: Condens. Matter 12, 1545 (2000).

I.A. Lyashenko. Phase Transitions between Kinetic Modes of Boundary Friction. Dr.Sci. Thesis (Sumy State University, 2016) (in Russian).

G.P. Ostermeier, V.L. Popov. Mesoparticle description of temperature- and shear-induced solid-liquid transitions. Fiz. Mezomekh. 3, No. 5, 33 (2000) (in Russian).

V.L. Popov. A theory of the transition from static to kinetic friction in boundary lubrication layers. Solid State Commun. 115, 369 (2000).

V.L. Popov. Thermomechanical model of crystalline elastoplastic media. Tech. Phys. Lett. 25, 815 (1999).

L.D. Landau, E.M. Lifshits. Statistical Physics, Part 1 (Pergamon Press, 1980).

D.F. Kienle, T.L. Kuhl. Density and phase state of a confined nonpolar fluid. Phys. Rev. Lett. 117, 036101 (2016).

I.A. Lyashenko. First-order phase transition between the liquidlike and solidlike structures of a boundary lubricant. Tech. Phys. 57, 17 (2012).

I.A. Lyashenko. Effect of the temperature dependence of the viscosity of pseudoplastic lubricants on the boundary friction regime. Tech. Phys. 58, 1016 (2013).

I.A. Lyashenko, A.E. Filippov, M. Popov, V.L. Popov. Effect of stress nonhomogeneity on the shear melting of a thin boundary lubrication layer. Phys. Rev. E 94, 053002 (2016).

I.A. Lyashenko, A.V. Khomenko, L.S. Metlov. Hysteresis phenomena of boundary friction. Fiz. Tekhn. Vysok. Davl. 21, 67 (2011) (in Russian).

I.A. Lyashenko, A.V. Khomenko, L.S. Metlov. Nonlinear thermodynamic model of boundary friction. J. Frict. Wear 32, 113 (2011).

E. Popova, V.L. Popov. Ludwig F¨oppl and Gerhard Schubert: Unknown classics of contact mechanics. Z. Angew. Math. Mech. 100, e202000203 (2020).

Order, Disorder and Criticality. Advanced Problems of Phase Transition Theory. Vol. 5. Edited by Yu. Holovatch (World Scientific, 2018).

G. Reiter, A.L. Demirel, J. Peanasky et al. The solidlike state of a confined liquid lubricant: Deformation and time effects. In: Physics of Sliding Friction. Edited by B.N.J. Persson, E. Tosatti (Kluwer, 1996), p. 119.

A. Lemaˆıtre, J. Carlson. Boundary lubrication with a glassy interface. Phys. Rev. E 69, 061611 (2004).

A. Lemaˆıtre. Rearrangements and dilatancy for sheared dense materials. Phys. Rev. Lett. 89, 195503 (2002).

L.D. Landau, E.M. Lifshitz. Theory of Elasticity (Pergamon Press, 1959).

L.M. Kachanov. Fundamentals of the Theory of Plasticity (Dover, 2004).

I.A. Lyashenko, V.N. Borysiuk, V.L. Popov. Dynamical model of the asymmetric actuator of directional motion based on power-law graded materials. Facta Univ. Ser. Mech. Eng. 18, 245 (2020).

G. Luengo, J. Israelachvili, S. Granick. Generalized effects in confined fluids: new friction map for boundary lubrication. Wear 200, 328 (1996).

L.D. Landau, I.M. Khalatnikov. Anomalous absorption of sound near second-order phase transition points. Dokl. Akad. Nauk SSSR 96, 469 (1954) (in Russian).



How to Cite

Lyashenko, I. (2021). Description of the Stationary Structural States of a Boundary Lubricant Making Use of the Relation between the Density-Modulation and Excess-Volume Order Parameters. Ukrainian Journal of Physics, 66(11), 993.



Surface physics

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