Participating group members: |
Mykhaylo Evstigneev, Peter Reimann |

Main cooperation partners: |
Andre Schirmeisen, Lars Jansen, Harald Fuchs (Physikalisches Institut and CeNTech Münster) |

A breakthrough in the exploration of friction on the atomic scale has recently become possible by means of friction force microscopy (see figure). The tip of an AFM-cantilever is brought into contact with an atomically flat surface, which moves with a constant speed

Our first main objective is to refine and extend existing theories by way of a more realistic modeling of the dissipation and inertia effects. The main prediction of our new model is a non-monotonic dependence of the friction force upon the sliding velocity of the AFM-tip relative to an atomically flat surface. The region around the force maximum can be approximately described by a universal scaling law and should be observable under experimentally realistic conditions.

A second issue of our research is to develop an analytical approximation of the friction force as a function of the pulling speed that is valid in a very wide range of cantilever elasticities by means of a rate theoretical approach.

Our third main objective is a quantitative comparison between theory
and experimental observations.

Publications:

P. Reimann and M. Evstigneev

*Non-monotonic velocity dependence of atomic friction*

Phys. Rev. Lett., **93**, 230802 (2004)

M. Evstigneev and P. Reimann

*Rate Description in Friction Force Microscopy*

Europhys. Lett. **67**, 907 (2004)

P. Reimann and M. Evstigneev

*Description of Atomic Friction as Forced Brownian Motion*

New J. Phys. **7**, 25 (2005)

M. Evstigneev and P. Reimann

*Rate Description of the Stick-Slip Motion in Friction Force
Microscopy Experiments*

Phys. Rev. E **71**, 056119 (2005)

M. Evstigneev, A. Schirmeisen, L. Jansen, H. Fuchs, and P. Reimann

*Force Dependence of Transition Rates in Atomic Friction*

Phys. Rev. Lett. **97**, 240601 (2006)

M. Evstigneev and P. Reimann

*A refined force-velocity relation in friction force spectroscopy experiments*

Phys. Rev. B **73**, 113401 (2006)

M. Evstigneev and P. Reimann

*Velocity dependence of atomic friction: Rate theory and beyond*

p. 117-142 in
``Fundamentals of Friction and Wear'', edited by E. Gnecco and E. Meyer,
Springer (Berlin) 2007

M. Evstigneev, A. Schirmeisen, L. Jansen, H. Fuchs, and P. Reimann

* Contact ageing in atomic friction *

J. Phys.: Condens. Matter **20**, 354001 (2008)

M. Evstigneev, S. von Gehlen, and P. Reimann

* Interaction-controlled Brownian motion in a tilted periodic potential*

Phys. Rev. E **79**, 011116 (2009)

M. Evstigneev and P. Reimann

* Langevin equation for a system nonlinearly coupled to a heat bath
*

Phys. Rev. B **82**, 224303 (2010)

M. Evstigneev and P. Reimann

* Rolling and sliding of a nanorod between two planes: Tribological regimes and control of friction
*

Phys. Rev. B **85**, 035447 (2012)

Related projects:

Dynamic force spectroscopy on single biomolecules

Decay of complex metastable states

*Last modified on 2012-03-14*