Rate description of the stick-slip motion in friction force microscopy experiments

Evstigneev M, Reimann P (2005)
PHYSICAL REVIEW E 71(5): 056119.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
Abstract / Bemerkung
During the stick-slip motion of an atomic force microscope tip contacting with a uniformly moving atomically clean surface, the force developed in the cantilever spring performs random sawtoothlike oscillations resulting from the thermally activated transitions of the tip from one surface site to the next. Using escape rate theory, the probability distribution of forces is calculated numerically to deduce the time-average lateral force as a function of pulling velocity. A transcendental equation for the average force is proposed and its approximate solution is obtained. The accuracy of this analytic approximation is demonstrated via comparison with the numerical results. The analogous force-velocity relations existing in the literature are shown to be the limiting cases of low and high cantilever spring constants of our analytic approximation.
Erscheinungsjahr
Zeitschriftentitel
PHYSICAL REVIEW E
Band
71
Zeitschriftennummer
5
Artikelnummer
056119
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eISSN
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Evstigneev M, Reimann P. Rate description of the stick-slip motion in friction force microscopy experiments. PHYSICAL REVIEW E. 2005;71(5): 056119.
Evstigneev, M., & Reimann, P. (2005). Rate description of the stick-slip motion in friction force microscopy experiments. PHYSICAL REVIEW E, 71(5), 056119. doi:10.1103/PhysRevE.71.056119
Evstigneev, M., and Reimann, P. (2005). Rate description of the stick-slip motion in friction force microscopy experiments. PHYSICAL REVIEW E 71:056119.
Evstigneev, M., & Reimann, P., 2005. Rate description of the stick-slip motion in friction force microscopy experiments. PHYSICAL REVIEW E, 71(5): 056119.
M. Evstigneev and P. Reimann, “Rate description of the stick-slip motion in friction force microscopy experiments”, PHYSICAL REVIEW E, vol. 71, 2005, : 056119.
Evstigneev, M., Reimann, P.: Rate description of the stick-slip motion in friction force microscopy experiments. PHYSICAL REVIEW E. 71, : 056119 (2005).
Evstigneev, Mykhaylo, and Reimann, Peter. “Rate description of the stick-slip motion in friction force microscopy experiments”. PHYSICAL REVIEW E 71.5 (2005): 056119.

2 Zitationen in Europe PMC

Daten bereitgestellt von Europe PubMed Central.

Force dependence of transition rates in atomic friction.
Evstigneev M, Schirmeisen A, Jansen L, Fuchs H, Reimann P., Phys Rev Lett 97(24), 2006
PMID: 17280262
Dry friction avalanches: experiment and theory.
Buldyrev SV, Ferrante J, Zypman FR., Phys Rev E Stat Nonlin Soft Matter Phys 74(6 pt 2), 2006
PMID: 17280124

26 References

Daten bereitgestellt von Europe PubMed Central.


AUTHOR UNKNOWN, 1999

AUTHOR UNKNOWN, 1965
A phenomenology of boundary lubrication: the lumped junction model
Baumberger, The European Physical Journal B 4(1), 1998
Dynamic force spectroscopy: a Fokker–Planck approach
Dudko, Chemical Physics Letters 352(5-6), 2002

Gnecco, Journal of Physics Condensed Matter 13(31), 2001
Atomic-force-microscope study of contact area and friction on NbSe_{2}
Lantz, Physical Review B 55(16), 1997
Tribological behavior of a polymer grafted on silanized silica probed with a nanotip
Bouhacina, Physical Review B 56(12), 1997
Creep, stick-slip, and dry-friction dynamics: Experiments and a heuristic model.
Heslot F, Baumberger T, Perrin B, Caroli B, Caroli C., Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 49(6), 1994
PMID: 9961818
Atomic force microscope.
Binnig G, Quate CF, Gerber C., Phys. Rev. Lett. 56(9), 1986
PMID: 10033323
Atomic-scale friction of a tungsten tip on a graphite surface.
Mate CM, McClelland GM, Erlandsson R, Chiang S., Phys. Rev. Lett. 59(17), 1987
PMID: 10035374
Atomic-scale stick-slip processes on Cu(111)
Bennewitz, Physical Review B 60(16), 1999
Velocity dependence of atomic friction
Gnecco E, Bennewitz R, Gyalog T, Loppacher C, Bammerlin M, Meyer E, Guntherodt H., Phys. Rev. Lett. 84(6), 2000
PMID: 11017471
Thermal effects on atomic friction.
Sang Y, Dube M, Grant M., Phys. Rev. Lett. 87(17), 2001
PMID: 11690274
Reaction-rate theory: fifty years after Kramers
Hänggi, Reviews of Modern Physics 62(2), 1990
Analytical descriptions of dynamic force spectroscopy: behaviour of multiple connections
Williams, Analytica Chimica Acta 479(1), 2003

Johnson, Tribology Letters 5(2/3), 1998
Interaction potential and hopping dynamics governing sliding friction.
Riedo E, Gnecco E, Bennewitz R, Meyer E, Brune H., Phys. Rev. Lett. 91(8), 2003
PMID: 14525243
Simulation of a scanned tip on a NaF(001) surface in friction force microscopy
Hölscher, EPL (Europhysics Letters) 36(1), 1996
Transition from stick-slip to continuous sliding in atomic friction: entering a new regime of ultralow friction.
Socoliuc A, Bennewitz R, Gnecco E, Meyer E., Phys. Rev. Lett. 92(13), 2004
PMID: 15089616
Rate description in friction force microscopy
Evstigneev, EPL (Europhysics Letters) 67(6), 2004
Nonmonotonic velocity dependence of atomic friction.
Reimann P, Evstigneev M., Phys. Rev. Lett. 93(23), 2004
PMID: 15601139
Velocity dependence of atomic-scale friction: A comparative study of the one- and two-dimensional Tomlinson model
Fusco, Physical Review B 71(4), 2005
Description of atomic friction as forced Brownian motion
Reimann, New Journal of Physics 7(), 2005
Mechanism of Atomic Friction
Gyalog, EPL (Europhysics Letters) 31(5-6), 1995

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