RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2012

 / 

October

←  →

Reviews of topical problems


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

,
Sumy State University, ul. Rimskogo-Korsakova 2, Sumy, 244007, Ukraine

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.

Fulltext pdf (2.8 MB)
Fulltext is also available at DOI: 10.3367/UFNe.0182.201210f.1081
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/
000313096000006
2-s2.0-84872110164
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 16th, August 2011, revised: 31st, May 2012, 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)

  1. Persson B N J Sliding Friction. Physical Principles And Applications (Berlin: Springer, 2000)
  2. Bowden F P, Tabor D The Friction And Lubrication Of Solids (Oxford: Clarendon Press, 1986)
  3. Akhmatov A S Molekulyarnaya Fizika Granichnogo Treniya (M.: Fizmatgiz, 1963); Akhmatov A S Molecular Physics Of Boundary Friction (Jerusalem: Israel Program for Sci. Translations, 1966)
  4. Gee M L et al. J. Chem. Phys. 93 1895 (1990)
  5. Yoshizawa H, Chen Y L, Israelachvili J J. Phys. Chem. 97 4128 (1993)
  6. Yoshizawa H, Israelachvili J J. Phys. Chem. 97 11300 (1993)
  7. Luengo G, Israelachvili J, Granick S Wear 200 328 (1996)
  8. Tshiprut Z, Filippov A E, Urbakh M Phys. Rev. Lett. 95 016101 (2005)
  9. Filippov A E et al. Phys. Rev. Lett. 100 046102 (2008)
  10. Pogrebnyak A D i dr. Usp. Fiz. Nauk 179 35 (2009); Pogrebnjak A D et al. Phys. Usp. 52 29 (2009)
  11. Van Alsten J, Granick S Phys. Rev. Lett. 61 2570 (1988)
  12. Ohnishi S et al. Langmuir 23 7032 (2007)
  13. Yamada S Langmuir 24 1469 (2008)
  14. Carlson J M, Batista A A Phys. Rev. E 53 4153 (1996)
  15. Aranson I S, Tsimring L S, Vinokur V M Phys. Rev. B 65 125402 (2002)
  16. Stevens M J, Robbins M O, Belak J F Phys. Rev. Lett. 66 3004 (1991)
  17. Thompson P A, Robbins M O Phys. Rev. A 41 6830 (1990)
  18. Thompson P A, Robbins M O Science 250 792 (1990)
  19. Xia T K et al. Phys. Rev. Lett. 69 1967 (1992)
  20. Braun O M, Naumovets A G Surf. Sci. Rep. 60 79 (2006)
  21. Filippov A E, Klafter J, Urbakh M Phys. Rev. Lett. 87 275506 (2001)
  22. Dudko O K et al. Tribol. Lett. 12 217 (2002)
  23. Filippov A E, Klafter J, Urbakh M Phys. Rev. Lett. 92 135503 (2004)
  24. Thompson P A, Grest G S, Robbins M O Phys. Rev. Lett. 68 3448 (1992)
  25. Baumberger T, Berthoud P, Caroli C Phys. Rev. B 60 3928 (1999)
  26. Smith E D, Robbins M O, Cieplak M Phys. Rev. B 54 8252 (1996)
  27. Krim J, Solina D H, Chiarello R Phys. Rev. Lett. 66 181 (1991)
  28. Rabinowicz E Friction And Wear Of Materials (New York: Wiley, 1995)
  29. Dedkov G V Usp. Fiz. Nauk 170 585 (2000); Dedkov G V Phys. Usp. 43 541 (2000)
  30. Tomanek D, Zhong W, Thomas H Europhys. Lett. 15 887 (1991)
  31. Israelachvili J N Surf. Sci. Rep. 14 109 (1992)
  32. Israelachvili J Intermolecular And Surface Forces (London: Academic Press, 1998)
  33. Israelachvili J N Chemtracts: Analyt. Phys. Chem. 1 1 (1989)
  34. Israelachvili J N, Adams G E J. Chem. Soc. Faraday Trans. 1 74 975 (1978)
  35. Pashley R M J. Colloid Interface Sci. 80 153 (1981)
  36. Pashley R M J. Colloid Interface Sci. 83 531 (1981)
  37. Horn R G, Smith D T, Haller W Chem. Phys. Lett. 162 404 (1989)
  38. Horn R G, Clarke D R, Clarkson M T J. Mater. Res. 3 413 (1988)
  39. Ploehn H J, Russel W B Adv. Chem. Eng. 15 137 (1990)
  40. Israelachvili J.N, McGuiggan P M Science 241 795 (1988)
  41. Lee C S, Belfort G Proc. Natl. Acad. Sci. USA 86 8392 (1989)
  42. Parker J L, Christenson H K J. Chem. Phys. 88 8013 (1988)
  43. Khomenko A V, Prodanov N V Condens. Matter Phys. 11 615 (2008)
  44. Robbins M O, Thompson P A Science 253 916 (1991)
  45. Luan B, Robbins M O Phys. Rev. Lett. 93 036105 (2004)
  46. Granick S Science 253 1374 (1991)
  47. Ma W-J, Banavar J R, Koplik J J. Chem. Phys. 97 485 (1992)
  48. Chuvil’deev V N Neravnovesnye Granitsy Zeren v Metallakh. Teoriya i Prilozheniya (M.: Fizmatlit, 2004)
  49. Coussot P et al. Phys. Rev. Lett. 88 175501 (2002)
  50. Coussot P et al. Phys. Rev. Lett. 88 218301 (2002)
  51. Persson B N J Phys. Rev. B 48 18140 (1993)
  52. Stribeck R Z. Vereins Deutscher Ing. 4 6 (1902)
  53. Pipkin A C Lectures In Viscoelasticity Theory (New York: Springer-Verlag, 1972)
  54. Hardy W, Bircumshaw I Proc. R. Soc. London A 108 1 (1925)
  55. Hardy W B Philos. Mag. 6 40 201 (1920)
  56. Hirano M Wear 254 932 (2003)
  57. Bear W G, Bowden F P Philos. Trans. R. Soc. Lond. A 234 322 (1934)
  58. Deryagin B V Zhurn. Fiz. Khimii 5 1165 (1934)
  59. Epifanov G I, Minaev N I Izv. Vuzov. Fizika (1) 55 (1959)
  60. Tolstoi D M, Kaplan R L Teoriya Treniya i Iznosa. Sbornik Statei (M.: Nauka, 1965)
  61. Popov V L Zh. Tekh. Fiz. 72 (5) 100 (2001); Popov V L Tech. Phys. 46 605 (2001)
  62. Persson B N J Phys. Rev. B 50 4771 (1994)
  63. Braiman Y et al. Phys. Rev. E 59 R4737 (1999)
  64. Sokoloff J B Phys. Rev. B 51 15573 (1995)
  65. Kawaguchi T, Matsukawa H Phys. Rev. B 56 4261 (1997)
  66. Haken H Synergetics (Berlin: Springer-Verlag, 1978); Khaken G Sinergetika (M.: Mir, 1980)
  67. Olemskoi A I, Khomenko A V Sinergetika Kondensirovannoi Sredy (Sumi: SumGU, 2002); Olemskoi A I, Khomenko A V http://essuir.sumdu.edu.ua/handle/123456789/15973
  68. Olemskoi A I, Khomenko A V Zh. Eksp. Teor. Fiz. 110 2144 (1996); Olemskoi A I, Khomenko A V JETP 83 1180 (1996)
  69. Khomenko A V, Yushchenko O V Phys. Rev. E 68 036110 (2003)
  70. Khomenko A V, Lyashenko I A Condens. Matter Phys. 9 695 (2006)
  71. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Nauka, 1995); Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pergamon Press, 1980)
  72. Lifshits E M, Pitaevskii L P Fizicheskaya Kinetika (M.: Nauka, 1979); Lifshitz E M, Pitaevskii L P Physical Kinetics (Oxford: Pergamon Press, 1981)
  73. Landau L D, Khalatnikov I M Dokl. Akad. Nauk SSSR 96 469 (1954)
  74. Katsnel’son A A, Olemskoi A I Mikroskopicheskaya Teoriya Neodnorodnykh Struktur (M.: Izd-vo MGU, 1987)
  75. Bar’yakhtar V G, Olemskoi A I Fiz. Tverd. Tela 33 2705 (1991)
  76. Havránek A, Marvan M Ferroelectrics 176 25 (1996)
  77. Kachanov L M Osnovy Teorii Plastichnosti (M.: Nauka, 1969); Kachanov L M Foundations Of The Theory Of Plasticity (Amsterdam: North-Holland, 1971)
  78. Eirich F R Rheology. Theory And Applications (New York: Academic Press, 1956); Eirikh F (Red.) Reologiya: Teoriya i Prilozheniya (M.: IL, 1962)
  79. Khomenko A V Zh. Tekh. Fiz. 77 (3) 29 (2007); Khomenko A V Tech. Phys. 52 320 (2007)
  80. Landau L D, Lifshits E M Teoriya Uprugosti (M.: Nauka, 1987); Landau L D, Lifshitz E M Theory Of Elasticity (Oxford: Pergamon Press, 1986)
  81. Olemskoi A I, Toropov E A Fiz. Met. Metalloved. (9) 5 (1991)
  82. Olemskoi A I, Khomenko A V Zh. Tekh. Fiz. 70 (6) 6 (2000); Olemskoi A I, Khomenko A V Tech. Phys. 45 672 (2000)
  83. Olemskoi A I, Khomenko A V Zh. Tekh. Fiz. 70 (6) 10 (2000); Olemskoi A I, Khomenko A V Tech. Phys. 45 677 (2000)
  84. Reiter G et al. J. Chem. Phys. 101 2606 (1994)
  85. Demirel A L, Granick S J. Chem. Phys. 109 6889 (1998)
  86. Reiter G et al. Physics Of Sliding Friction (NATO ASI Series. Ser. E, Applied Sciences) Vol. 311 (Eds B N J Persson, E Tosatti) (Dordrecht: Kluwer Acad. Publ., 1996) p. 119
  87. Khomenko A V, Prodanov N V Fizika Tekhnika Vysokikh Davlenii 16 (4) 164 (2006)
  88. Andronov A A, Vitt A A, Khaikin S E Teoriya Kolebanii (M.: Nauka, 1981); Andronov A A, Vitt A A, Khaikin S E Theory Of Oscillators (New York: Dover, 1987)
  89. Zel’tser A S, Soboleva T K, Filippov A E Zh. Eksp. Teor. Fiz. 108 356 (1995); Zel’tser A S, Soboleva T K, Filippov A E JETP 81 193 (1995)
  90. Khomenko A V, Lyashenko Ya A Fiz. Tverd. Tela 49 886 (2007); Khomenko A V, Lyashenko I A Phys. Solid State 49 936 (2007)
  91. Khomenko A V, Lyashenko I A Phys. Lett. A 366 165 (2007)
  92. Khomenko A V, Lyashenko I A J. Phys. Studies 11 268 (2007)
  93. Brener E A, Marchenko V I Pis’ma ZhETF 76 246 (2002); Brener E A, Marchenko V I JETP Lett. 76 211 (2002)
  94. Bhushan B (Ed.) Nanotribology And Nanomechanics. An Introduction (Berlin: Springer-Verlag, 2005)
  95. Olemskoi A I Usp. Fiz. Nauk 168 287 (1998); Olemskoi A I Phys. Usp. 41 269 (1998)
  96. Olemskoi A I, Khomenko A V, Kharchenko D O Physica A 323 263 (2003)
  97. Khomenko A V Phys. Lett. A 329 140 (2004)
  98. Toropov E A, Kharchenko D O Izv. Vuzov. Fizika (4) 75 (1996); Toropov E A, Kharchenko D O Russ. Phys. J. 39 355 (1996)
  99. Risken H The Fokker - Planck Equation (Berlin: Springer, 1989)
  100. Gardiner C W Handbook Of Stochastic Methods For Physics, Chemistry, And The Natural Sciences (Berlin: Springer-Verlag, 1985); Gardiner K V Stokhasticheskie Metody v Estestvennykh Naukakh (M.: Mir, 1986)
  101. Romero A H, Sancho J M, Lindenberg K Fluct. Noise Lett. 79 (2002)
  102. Amit D J Field Theory, The Renormalization Group, And Critical Phenomena (London: McGraw-Hill, 1978)
  103. Bak P How Nature Works: The Science Of Self-organized Criticality (Oxford: Oxford Univ. Press, 1997)
  104. Jensen H J Self-organized Criticality. Emergent Complex Behavior In Physical And Biological Systems (Cambridge: Cambridge Univ. Press, 1998)
  105. Khomenko A V, Lyashenko Ya A Zh. Tekh. Fiz. 75 (11) 17 (2005); Khomenko A V, Lyashenko I A Tech. Phys. 50 1408 (2005)
  106. Khomenko A V, Lyashenko I A, Borisyuk V N Fluct. Noise Lett. 9 19 (2010)
  107. Khomenko A V, Lyashenko I A Fluct. Noise Lett. 111 (2007)
  108. Haken H Information And Self-organization. A Macroscopic Approach To Complex Systems (Berlin: Springer-Verlag, 1988); Khaken G Informatsiya i Samoorganizatsiya. Makroskopicheskii Podkhod k Slozhnym Sistemam (M.: URSS, 2005)
  109. Khomenko A V, Lyashenko Ya A Zh. Tekh. Fiz. 77 (9) 137 (2007); Khomenko A V, Lyashenko I A Tech. Phys. 52 1239 (2007)
  110. HorsthemkeW, Lefever R Noise-induced Transitions. Theory And Applications In Physics, Chemistry, And Biology (Berlin: Springer-Verlag, 1984); Khorstemke V, Lefevr R Indutsirovannye Shumom Perekhody. Teoriya i Primenenie v Fizike, Khimii i Biologii (M.: Mir, 1987)
  111. Press W H et al. (Eds) Numerical Recipes In C++: The Art Of Scientific Computing (Cambridge: Cambridge Univ. Press, 1992)
  112. Olemskoi A I Sov. Sci. Rev. Physics Reviews (Ed. I M Khalatnikov) (London: Gordon & Breach, 1996) p. 1
  113. Kantelhardt J W et al. Physica A 316 87 (2002)
  114. Kavasseri R G, Nagarajan R Chaos Solitons Fractals 24 165 (2005)
  115. Makowiec D et al. Physica A 369 632 (2006)
  116. Lee J W, Lee K E, Rikvold P A Physica A 364 355 (2006)
  117. Feder J Fractals (New York: Plenum Press, 1988); Feder E Fraktaly (M.: Mir, 1991)
  118. Lyashenko Ya A Zh. Tekh. Fiz. 81 (6) 125 (2011); Lyashenko I A Tech. Phys. 56 869 (2011)
  119. Lyashenko Ya A Zh. Tekh. Fiz. 82 (1) 19 (2012); Lyashenko I A Tech. Phys. 57 17 (2012)
  120. Lemaîotre A Phys. Rev. Lett. 89 195503 (2002)
  121. Lyashenko Ya A, Khomenko A V, Metlov L S Zh. Tekh. Fiz. 80 (8) 120 (2010); Lyashenko I A, Khomenko A V, Metlov L S Tech. Phys. 55 1193 (2010)
  122. Lyashenko I A, Khomenko A V, Metlov L S Tribol. Int. 44 476 (2011)
  123. Khomenko A V, Lyashenko Ya A Zh. Tekh. Fiz. 80 (1) 27 (2010); Khomenko A V, Lyashenko I A Tech. Phys. 55 26 (2010)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions